Repository: silviazuffi/smalst
Branch: master
Commit: f7871d6e5333
Files: 50
Total size: 37.6 MB
Directory structure:
gitextract_38wvuzcu/
├── LICENSE.txt
├── LICENSE_SMAL_MODEL.txt
├── README.md
├── __init__.py
├── _config.yml
├── data/
│ ├── __init__.py
│ ├── smal_base.py
│ └── zebra.py
├── docs/
│ └── tmp.txt
├── experiments/
│ ├── __init__.py
│ └── smal_shape.py
├── external/
│ ├── __init__.py
│ └── install_external.sh
├── nnutils/
│ ├── __init__.py
│ ├── geom_utils.py
│ ├── loss_utils.py
│ ├── net_blocks.py
│ ├── nmr.py
│ ├── perceptual_loss.py
│ ├── smal_mesh_eval.py
│ ├── smal_mesh_net.py
│ ├── smal_predictor.py
│ └── train_utils.py
├── requirements.txt
├── scripts/
│ ├── smalst_evaluation_run.sh
│ ├── smalst_op_run.sh
│ └── smalst_train_run.sh
├── smal_eval.py
├── smal_model/
│ ├── __init__.py
│ ├── batch_lbs.py
│ ├── smal_basics.py
│ ├── smal_torch.py
│ ├── symIdx.pkl
│ ├── template_w_tex_uv.mtl
│ └── template_w_tex_uv.obj
├── smpl_models/
│ ├── my_smpl_00781_4_all.pkl
│ ├── my_smpl_00781_4_all_template_w_tex_uv_001.pkl
│ ├── my_smpl_data_00781_4_all.pkl
│ └── symIdx.pkl
├── testset_shape_experiments_crops.py
├── utils/
│ ├── __init__.py
│ ├── geometry.py
│ ├── image.py
│ ├── mesh.py
│ ├── obj2nmr.py
│ ├── smal_vis.py
│ ├── transformations.py
│ ├── visualizer.py
│ └── visutil.py
└── zebra_data/
└── verts2kp.pkl
================================================
FILE CONTENTS
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FILE: LICENSE.txt
================================================
MIT License
Copyright (c) 2018 silviazuffi
Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:
The above copyright notice and this permission notice shall be included in all
copies or substantial portions of the Software.
THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
SOFTWARE.
================================================
FILE: LICENSE_SMAL_MODEL.txt
================================================
License
Software Copyright License for non-commercial scientific research purposes
Please read carefully the following terms and conditions and any accompanying documentation before you download and/or use the SMAL data and software, (the "Data & Software"), including 3D meshes, images, videos, textures, software, scripts, and animations. By downloading and/or using the Data & Software, you acknowledge that you have read these terms and conditions, understand them, and agree to be bound by them. If you do not agree with these terms and conditions, you must not download and/or use the Data & Software. Any infringement of the terms of this agreement will automatically terminate your rights under this License
Ownership / Licensees
The Software and the associated materials has been developed at the
Max Planck Institute for Intelligent Systems (hereinafter "MPI").
Any copyright or patent right is owned by and proprietary material of the
Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. (hereinafter “MPG”; MPI and MPG hereinafter collectively “Max-Planck”)
hereinafter the “Licensor”.
License Grant
Licensor grants you (Licensee) personally a single-user, non-exclusive, non-transferable, free of charge right:
To install the Data & Software on computers owned, leased or otherwise controlled by you and/or your organization;
To use the Data & Software for the sole purpose of performing non-commercial scientific research, non-commercial education, or non-commercial artistic projects;
Any other use, in particular any use for commercial purposes, is prohibited. This includes, without limitation, incorporation in a commercial product, use in a commercial service, or production of other artifacts for commercial purposes. The Data & Software may not be reproduced, modified and/or made available in any form to any third party without Max-Planck’s prior written permission.
This license also prohibits the use of the Data & Software to train methods/algorithms/neural networks/etc for commercial use of any kind. By downloading the Data & Software, you agree not to reverse engineer it.
No Distribution
The Data & Software and the license herein granted shall not be copied, shared, distributed, re-sold, offered for re-sale, transferred or sub-licensed in whole or in part except that you may make one copy for archive purposes only.
Disclaimer of Representations and Warranties
You expressly acknowledge and agree that the Data & Software results from basic research, is provided “AS IS”, may contain errors, and that any use of the Data & Software is at your sole risk. LICENSOR MAKES NO REPRESENTATIONS OR WARRANTIES OF ANY KIND CONCERNING THE DATA & SOFTWARE, NEITHER EXPRESS NOR IMPLIED, AND THE ABSENCE OF ANY LEGAL OR ACTUAL DEFECTS, WHETHER DISCOVERABLE OR NOT. Specifically, and not to limit the foregoing, licensor makes no representations or warranties (i) regarding the merchantability or fitness for a particular purpose of the Data & Software, (ii) that the use of the Data & Software will not infringe any patents, copyrights or other intellectual property rights of a third party, and (iii) that the use of the Data & Software will not cause any damage of any kind to you or a third party.
Limitation of Liability
Because this Data & Software License Agreement qualifies as a donation, according to Section 521 of the German Civil Code (Bürgerliches Gesetzbuch – BGB) Licensor as a donor is liable for intent and gross negligence only. If the Licensor fraudulently conceals a legal or material defect, they are obliged to compensate the Licensee for the resulting damage.
Licensor shall be liable for loss of data only up to the amount of typical recovery costs which would have arisen had proper and regular data backup measures been taken. For the avoidance of doubt Licensor shall be liable in accordance with the German Product Liability Act in the event of product liability. The foregoing applies also to Licensor’s legal representatives or assistants in performance. Any further liability shall be excluded.
Patent claims generated through the usage of the Data & Software cannot be directed towards the copyright holders.
The Data & Software is provided in the state of development the licensor defines. If modified or extended by Licensee, the Licensor makes no claims about the fitness of the Data & Software and is not responsible for any problems such modifications cause.
No Maintenance Services
You understand and agree that Licensor is under no obligation to provide either maintenance services, update services, notices of latent defects, or corrections of defects with regard to the Data & Software. Licensor nevertheless reserves the right to update, modify, or discontinue the Data & Software at any time.
Defects of the Data & Software must be notified in writing to the Licensor with a comprehensible description of the error symptoms. The notification of the defect should enable the reproduction of the error. The Licensee is encouraged to communicate any use, results, modification or publication.
Publications using the Data & Software
You acknowledge that the Data & Software is a valuable scientific resource and agree to appropriately reference the following paper in any publication making use of the Data & Software.
Citation:
@inproceedings{Zuffi:CVPR:2017,
title = {{3D} Menagerie: Modeling the {3D} Shape and Pose of Animals},
author = {Zuffi, Silvia and Kanazawa, Angjoo and Jacobs, David and Black, Michael J.},
booktitle = {Proceedings IEEE Conference on Computer Vision and Pattern Recognition (CVPR) 2017},
pages = {5524--5532},
publisher = {IEEE},
address = {Piscataway, NJ, USA},
month = jul,
year = {2017},
month_numeric = {7}
}
Commercial licensing opportunities
For commercial uses of the Data & Software, please send email to ps-license@tue.mpg.de
This Agreement shall be governed by the laws of the Federal Republic of Germany except for the UN Sales Convention.
================================================
FILE: README.md
================================================
# Three-D Safari: Learning to Estimate Zebra Pose, Shape, and Texture from Images "In the Wild"
Silvia Zuffi1, Angjoo Kanazawa2, Tanya Berger-Wolf3, Michael J. Black4
1IMATI-CNR, Milan, Italy, 2University of California, Berkeley,
3University of Illinois at Chicago, 4Max Planck Institute for Intelligent Systems, Tuebingen, Germany
In ICCV 2019
[paper](https://ps.is.tuebingen.mpg.de/uploads_file/attachment/attachment/533/6034_after_pdfexpress.pdf)
[suppmat](https://ps.is.tuebingen.mpg.de/uploads_file/attachment/attachment/535/6034_supp.pdf)
### Requirements
- Python 2.7
- [PyTorch](https://pytorch.org/) tested on version `0.5.0`
### Installation
Note that the following warning has been issued:
"Pillow before 8.1.1 allows attackers to cause a denial of service (memory consumption) because the reported size of a contained image is not properly checked for an ICO container, and thus an attempted memory allocation can be very large."
#### Setup virtualenv
```
virtualenv venv_smalst
source venv_smalst/bin/activate
pip install -U pip
deactivate
source venv_smalst/bin/activate
pip install -r requirements.txt
```
#### Install Neural Mesh Renderer and Perceptual loss
```
cd external;
bash install_external.sh
```
#### Install SMPL model
download the [SMPL model](https://ps.is.tuebingen.mpg.de/code/smpl/) and create a directory smpl_webuser under the smalst/smal_model directory
#### Download data
- [Trained network](https://drive.google.com/a/berkeley.edu/file/d/1ZkKmqlbs3LlcGTrMK1j0ZVBpddg9b6Jf/view?usp=drivesdk)
- [Training data](https://drive.google.com/open?id=1yVy4--M4CNfE5x9wUr1QBmAXEcWb6PWF)
- [Test data](https://drive.google.com/a/berkeley.edu/file/d/1g5jZeA2ptAgdKVOAbZoVqsU-dNE-HD-e/view?usp=drivesdk)
- [Validation data](https://drive.google.com/a/berkeley.edu/file/d/1Ae0J83Y7Un1zBYFVd2za94d1KNnks8IL/view?usp=drivesdk)
The test and validation data are images collected in [The Great Grevy's Rally 2018](https://www.marwell.org.uk/media/other/cs_report_ggr_2018v.4.pdf)
Place the downloaded network pred_net_186.pth in the folder cachedir/snapshots/smal_net_600/
#### Usage
See the script in smalst/script directory for training and testing
#### Notes
The code in this repository is widely based on the project https://github.com/akanazawa/cmr
#### Citation
If you use this code please cite
```
@inproceedings{Zuffi:ICCV:2019,
title = {Three-D Safari: Learning to Estimate Zebra Pose, Shape, and Texture from Images "In the Wild"},
author = {Zuffi, Silvia and Kanazawa, Angjoo and Berger-Wolf, Tanya and Black, Michael J.},
booktitle = {International Conference on Computer Vision},
month = oct,
year = {2019},
month_numeric = {10}
}
```
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FILE: __init__.py
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FILE: _config.yml
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theme: jekyll-theme-slate
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FILE: data/__init__.py
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FILE: data/smal_base.py
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"""
Base data loading class.
Should output:
- img: B X 3 X H X W
- kp: B X nKp X 2
- mask: B X H X W
# Silvia - sfm_pose: B X 7 (s, tr, q)
- camera_params: B X 4 (s, tr)
(kp, sfm_pose) correspond to image coordinates in [-1, 1]
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import os.path as osp
import numpy as np
import scipy.misc
import scipy.linalg
import scipy.ndimage.interpolation
from absl import flags, app
import pickle as pkl
import torch
from torch.utils.data import Dataset
from torch.utils.data import DataLoader
from torch.utils.data.dataloader import default_collate
from ..utils import image as image_utils
from ..utils import transformations
from ..nnutils.geom_utils import perspective_proj_withz
flags.DEFINE_integer('bgval', 1, 'color for padding input image')
flags.DEFINE_integer('border', 0, 'padding input image')
flags.DEFINE_integer('img_size', 256, 'image size')
flags.DEFINE_boolean('use_bbox', True, 'If doing the cropping based on bboxes')
flags.DEFINE_boolean('perturb_bbox', True, '')
flags.DEFINE_boolean('online_training', False, 'If to change dataset')
flags.DEFINE_boolean('save_training', False, 'Save the cropped images')
flags.DEFINE_boolean('update_vis', True, 'If to update visibility in the keypoint normaliation')
flags.DEFINE_float('padding_frac', 0.1, #0.05,
'bbox is increased by this fraction of max_dim')
flags.DEFINE_float('jitter_frac', 0.1, #0.05,
'bbox is jittered by this fraction of max_dim')
flags.DEFINE_enum('split', 'train', ['train', 'val', 'all', 'test'], 'eval split')
flags.DEFINE_integer('num_kps', 28, 'The dataloader should override these.')
flags.DEFINE_integer('n_data_workers', 4, 'Number of data loading workers')
# -------------- Dataset ------------- #
# ------------------------------------ #
class BaseDataset(Dataset):
'''
img, mask, kp, pose, texture_map data loader
'''
def __init__(self, opts, filter_key=None):
# Child class should define/load:
# self.kp_perm
# self.img_dir
# self.anno
# self.anno_camera
self.opts = opts
self.img_size = opts.img_size
self.jitter_frac = opts.jitter_frac
self.padding_frac = opts.padding_frac
self.filter_key = filter_key
if not opts.use_smal_betas:
# We need to load the blendshapes
model_path = osp.join(self.opts.model_dir, self.opts.model_name)
with open(model_path, 'r') as f:
dd = pkl.load(f)
num_betas = dd['shapedirs'].shape[-1]
self.shapedirs = np.reshape(dd['shapedirs'], [-1, num_betas]).T
def forward_img(self, index):
if True:
data = self.anno[index].copy()
data_sfm = self.anno_camera[index].copy()
img_path = data['img_path']
if 'img' in data.keys():
img = data['img']
else:
img = scipy.misc.imread(img_path) / 255.0
camera_params = [np.copy(data_sfm['flength']), np.zeros(2)]
if 'texture_map' in data.keys():
texture_map_path = data['texture_map']
if 'texture_map_data' in data.keys():
texture_map = data['texture_map_data']
else:
texture_map = scipy.misc.imread(texture_map_path) / 255.0
texture_map = np.transpose(texture_map, (2, 0, 1))
else:
texture_map = None
if data['mask_path'] is not None:
mask_path = data['mask_path']
if 'mask' in data.keys():
mask = data['mask']
else:
mask = scipy.misc.imread(mask_path) / 255.0
else:
mask = None
if 'uv_flow_path' in data.keys():
uv_flow_path = data['uv_flow_path']
if 'uv_flow' in data.keys():
uv_flow = data['uv_flow']
else:
uvdata = pkl.load(open(uv_flow_path))
uv_flow = uvdata['uv_flow'].astype(np.float32)
uv_flow[:,:,0] = uv_flow[:,:,0] /(uvdata['img_h']/2.)
uv_flow[:,:,1] = uv_flow[:,:,1] /(uvdata['img_w']/2.)
else:
uv_flow = None
occ_map = None
kp = data['keypoints']
if 'trans' in data.keys():
model_trans = data['trans'].copy()
else:
model_trans = None
if 'pose' in data.keys():
model_pose = data['pose'].copy()
else:
model_pose = None
if 'betas' in data.keys():
model_betas = data['betas'].copy()
else:
model_betas = None
if 'delta_v' in data.keys():
model_delta_v = data['delta_v'].copy()
if not self.opts.use_smal_betas:
# Modify the deformation to include B*\betas
nBetas = len(model_betas)
model_delta_v = model_delta_v + np.reshape(np.matmul(model_betas, self.shapedirs[:nBetas,:]), [model_delta_v.shape[0], model_delta_v.shape[1]])
else:
model_delta_v = None
# Perspective camera needs image center
camera_params[1][0] = img.shape[1]/2.
camera_params[1][1] = img.shape[0]/2.
if mask is not None:
M = mask[:,:,0]
xmin = np.min(np.where(M>0)[1])
ymin = np.min(np.where(M>0)[0])
xmax = np.max(np.where(M>0)[1])
ymax = np.max(np.where(M>0)[0])
else:
xmin = 0
ymin = 0
xmax = img.shape[1]
ymax = img.shape[0]
# Compute bbox
bbox = np.array([xmin, ymin, xmax, ymax], float)
if self.opts.border > 0:
assert(('trans' in data.keys())==False)
assert(('pose' in data.keys())==False)
assert(('kp' in data.keys())==False)
# This has to be used only if there are no annotations for the refinement!
scale_factor = float(self.opts.img_size-2*self.opts.border) / np.max(img.shape[:2])
img, _ = image_utils.resize_img(img, scale_factor)
if mask is not None:
mask, _ = image_utils.resize_img(mask, scale_factor)
# Crop img_size x img_size from the center
center = np.round(np.array(img.shape[:2]) / 2).astype(int)
# img center in (x, y)
center = center[::-1]
bbox = np.hstack([center - self.opts.img_size / 2., center + self.opts.img_size / 2.])
if kp is not None:
vis = kp[:, 2] > 0
kp[vis, :2] -= 1
else:
vis = None
# Peturb bbox
if self.opts.perturb_bbox and mask is not None:
bbox = image_utils.peturb_bbox(bbox, pf=self.padding_frac, jf=self.jitter_frac)
orig_bbox = bbox[:]
bbox = image_utils.square_bbox(bbox)
# crop image around bbox, translate kps
#if self.opts.use_bbox and mask is not None:
if not self.opts.is_optimization:
img, mask, kp, camera_params, model_trans, occ_map, uv_flow = self.crop_image(img,
mask, bbox, kp, vis, camera_params, model_trans, occ_map, uv_flow)
# scale image, and mask. And scale kps.
img, mask, kp, camera_params, occ_map, uv_flow = self.scale_image(img, mask, kp, vis, camera_params,
occ_map, orig_bbox, uv_flow)
# Normalize kp to be [-1, 1]
img_h, img_w = img.shape[:2]
if kp is not None:
kp_norm = self.normalize_kp(kp, img_h, img_w, self.opts.update_vis)
else:
kp_norm = None
if not self.opts.use_camera:
focal_length_fix = self.opts.camera_ref
f_scale = focal_length_fix/camera_params[0]
camera_params[0] *= f_scale
model_trans[2] *= f_scale
if self.opts.save_training:
scipy.misc.imsave(img_path+'.crop.png', img)
scipy.misc.imsave(img_path+'.crop_mask.png', mask)
data = {'kp':kp, 'sfm_pose':camera_params, 'model_trans':model_trans, 'model_pose':model_pose, 'model_betas':model_betas}
pkl.dump(data, open(img_path+'.crop.pkl', 'wb'))
if uv_flow is not None:
pkl.dump(uv_flow, open(img_path+'._uv_flow_crop.pkl', 'wb'))
print('saved ' + img_path)
# Finally transpose the image to 3xHxW
img = np.transpose(img, (2, 0, 1))
if mask is not None:
mask = np.transpose(mask, (2, 0, 1))
if self.opts.border > 0:
camera_params[1][0] = img.shape[1]/2.
camera_params[1][1] = img.shape[0]/2.
return img, kp_norm, mask, camera_params, texture_map, model_trans, model_pose, model_betas, model_delta_v, occ_map, img_path, uv_flow
def normalize_kp(self, kp, img_h, img_w, update_vis=False):
vis = kp[:, 2, None] > 0
new_kp = np.stack([2 * (kp[:, 0] / img_w) - 1,
2 * (kp[:, 1] / img_h) - 1,
kp[:, 2]]).T
if update_vis:
new_kp[np.where(new_kp[:,0] < -1),2] = 0
new_kp[np.where(new_kp[:,0] > 1),2] = 0
new_kp[np.where(new_kp[:,1] < -1),2] = 0
new_kp[np.where(new_kp[:,1] > 1),2] = 0
new_kp = vis * new_kp
return new_kp
def get_camera_projection_matrix(self, f, c):
P = np.hstack([np.eye(3), np.zeros((3,1))])
# Add camera matrix
K = np.zeros((3, 3))
K[0, 0] = f
K[1, 1] = f
K[2, 2] = 1
K[0, 2] = c[0]
K[1, 2] = c[1]
KP = np.array(np.matrix(K)*np.matrix(P))
return KP
def my_project_points(self, ptsw, P):
# Project world points ptsw(Nx3) into image points ptsi(Nx2) using the camera matrix P(3X4)
nPts = ptsw.shape[0]
ptswh = np.ones((nPts, 4))
ptswh[:, :-1] = ptsw
ptsih = np.dot(ptswh, P.T)
ptsi = np.divide(ptsih[:, :-1], ptsih[:, -1][:, np.newaxis])
return ptsi
def my_anti_project_points(self, ptsi, P):
nPts = ptsi.shape[0]
ptsih = np.ones((nPts, 3))
ptsih[:, :-1] = ptsi
ptswh = np.dot(ptsih, np.array(np.matrix(P.T).I))
nPts = ptswh.shape[0]
if P[-1,-1] == 0:
ptsw = ptswh[:, :-1]
else:
ptsw = np.divide(ptswh[:, :-1], ptswh[:, -1][:, np.newaxis])
return ptsw
def get_model_trans_for_cropped_image(self, trans, bbox, flength, img_w, img_h):
'''
trans: 3 model translation
bbox: 1 x 4 xmin, ymin, xmax, ymax
flength: 1
img_w: 1 width original image
img_h: 1 height original image
'''
# Location of the model in image frame (pixel coo)
P = self.get_camera_projection_matrix(flength, np.array([img_w/2., img_h/2.]))
Q = np.zeros((1,3))
Q[0,:] = trans
W = self.my_project_points(Q, P)
# Location of the model w.r.t. the center of the bbox (pixel coo)
E = np.zeros((1,2))
E[0,0] = W[0,0] - (bbox[0] + (bbox[2]-bbox[0])/2.)
E[0,1] = W[0,1] - (bbox[1] + (bbox[3]-bbox[1])/2.)
# Define the new camera for the bbox
# Center of the bbox in the bbox frame
c = np.array([bbox[2]-bbox[0], bbox[3]-bbox[1]])/2.
P = self.get_camera_projection_matrix(flength, c)
P[-1,-1] = trans[2]
# Location of the model in world space w.r.t. the new image and camera
D = self.my_anti_project_points(E, P)
trans[:] = np.array([D[0,0], D[0,1], trans[2]])
return trans
def crop_image(self, img, mask, bbox, kp, vis, camera_params, model_trans, occ_map, uv_flow):
img_orig_h, img_orig_w = img.shape[:2]
# crop image and mask and translate kps
img = image_utils.crop(img, bbox, bgval=self.opts.bgval)
if mask is not None:
mask = image_utils.crop(mask, bbox, bgval=0)
if occ_map is not None:
occ_map = image_utils.crop(occ_map, bbox, bgval=0)
if uv_flow is not None:
# uv_flow has image coordinates in the first 2 channels and a mask in the third channel
# image coordinates are normalized w.r.t the original size so their value is in [-1,1]
# un-normalize uv_flow coordinates
uv = uv_flow[:,:,:2]
uv[:,:,0] = uv[:,:,0]*(img_orig_h/2.)+img_orig_h/2.
uv[:,:,1] = uv[:,:,1]*(img_orig_w/2.)+img_orig_w/2.
# Change the values
uv[:,:,0] -= bbox[0]
uv[:,:,1] -= bbox[1]
img_h, img_w = img.shape[:2]
uv_flow[:,:,0] = (uv[:,:,0]-(img_h/2.))/(img_h/2.)
uv_flow[:,:,1] = (uv[:,:,1]-(img_w/2.))/(img_w/2.)
if kp is not None:
kp[vis, 0] -= bbox[0]
kp[vis, 1] -= bbox[1]
if camera_params[0]>0:
model_trans = self.get_model_trans_for_cropped_image(model_trans, bbox, camera_params[0], img_orig_w, img_orig_h)
camera_params[1][0] = img.shape[1]/2.
camera_params[1][1] = img.shape[0]/2.
else:
import pdb; pdb.set_trace()
return img, mask, kp, camera_params, model_trans, occ_map, uv_flow
def scale_image(self, img, mask, kp, vis, camera_params, occ_map, orig_bbox, uv_flow):
# Scale image so largest bbox size is img_size
bwidth = np.shape(img)[0]
bheight = np.shape(img)[1]
scale = self.img_size / float(max(bwidth, bheight))
img_scale, _ = image_utils.resize_img(img, scale)
if occ_map is not None:
occ_map, _ = image_utils.resize_img(occ_map, scale)
if mask is not None:
mask_scale, _ = image_utils.resize_img(mask, scale)
else:
mask_scale = None
if kp is not None:
kp[vis, :2] *= scale
if uv_flow is not None:
img_orig_h, img_orig_w = img.shape[:2]
# un-normalize uv_flow coordinates
uv = uv_flow[:,:,:2]
uv[:,:,0] = uv[:,:,0]*(img_orig_h/2.)+img_orig_h/2.
uv[:,:,1] = uv[:,:,1]*(img_orig_w/2.)+img_orig_w/2.
# Change the values
uv[:,:,0] *= scale
uv[:,:,1] *= scale
img_h, img_w = img_scale.shape[:2]
uv_flow[:,:,0] = (uv[:,:,0]-(img_h/2.))/(img_h/2.)
uv_flow[:,:,1] = (uv[:,:,1]-(img_w/2.))/(img_w/2.)
bwidth = orig_bbox[2] - orig_bbox[0] + 1
bheight = orig_bbox[3] - orig_bbox[1] + 1
if camera_params[0] > 0:
camera_params[0] *= scale
camera_params[1] *= scale
return img_scale, mask_scale, kp, camera_params, occ_map, uv_flow
def __len__(self):
return self.num_imgs
def __getitem__(self, index):
img, kp, mask, camera_params, texture_map, model_trans, model_pose, model_betas, model_delta_v, occ_map, img_path, uv_flow = self.forward_img(index)
camera_params[0].shape = 1
elem = {
'img': img,
'inds': index,
'img_path':img_path,
'camera_params_c':camera_params[1],
}
if kp is not None:
elem['kp'] = kp
if mask is not None:
elem['mask'] = mask
if texture_map is not None:
elem['texture_map'] = texture_map
if camera_params[0]:
elem['camera_params'] = np.concatenate(camera_params)
if model_trans is not None:
elem['model_trans'] = model_trans
if model_pose is not None:
elem['model_pose'] = model_pose
if model_betas is not None:
elem['model_betas'] = model_betas
if model_delta_v is not None:
elem['model_delta_v'] = model_delta_v
if uv_flow is not None:
elem['uv_flow'] = uv_flow
if self.filter_key is not None:
if self.filter_key not in elem.keys():
print('Bad filter key %s' % self.filter_key)
import ipdb; ipdb.set_trace()
if self.filter_key == 'camera_params':
# Return both vis and sfm_pose
vis = elem['kp'][:, 2]
elem = {
'vis': vis,
'camera_params': elem['camera_params'],
}
else:
elem = elem[self.filter_key]
return elem
# ------------ Data Loader ----------- #
# ------------------------------------ #
def base_loader(d_set_func, batch_size, opts, filter_key=None, shuffle=True, filter_name=None):
dset = d_set_func(opts, filter_key=filter_key, filter_name=filter_name)
return DataLoader(
dset,
batch_size=batch_size,
shuffle=shuffle,
num_workers=opts.n_data_workers,
drop_last=True)
================================================
FILE: data/zebra.py
================================================
"""
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import os.path as osp
import numpy as np
import pickle as pkl
import scipy.io as sio
import scipy.misc
from absl import flags, app
import torch
from torch.utils.data import Dataset
from . import smal_base as base_data
from ..utils import transformations
import pickle as pkl
# -------------- flags ------------- #
# ---------------------------------- #
#kData = 'nokap/zebra_data'
flags.DEFINE_string('zebra_dir', 'smalst/zebra_data', 'Zebra Data Directory')
flags.DEFINE_string('image_file_string', '*.png', 'String use to read the images')
curr_path = osp.dirname(osp.abspath(__file__))
cache_path = osp.join(curr_path, '..', 'cachedir')
flags.DEFINE_string('zebra_cache_dir', osp.join(cache_path, 'zebra'), 'Zebra Data Directory')
flags.DEFINE_integer('num_images', 3000, 'Number of training images')
flags.DEFINE_boolean('preload_image', False, '')
flags.DEFINE_boolean('preload_mask', False, '')
flags.DEFINE_boolean('preload_texture_map', False, '')
flags.DEFINE_boolean('preload_uvflow', False, '')
flags.DEFINE_boolean('use_per_file_texmap', True, 'use the file with updated change in color')
opts = flags.FLAGS
# -------------- Dataset ------------- #
# ------------------------------------ #
class ZebraDataset(base_data.BaseDataset):
'''
Zebra Data loader
'''
def __init__(self, opts, filter_key=None, filter_name=None):
super(ZebraDataset, self).__init__(opts, filter_key=filter_key)
self.data_cache_dir = opts.zebra_cache_dir
self.filter_key = filter_key
self.filter_name = filter_name
if True:
self.data_dir = opts.zebra_dir
self.img_dir = osp.join(self.data_dir, 'images')
from glob import glob
if filter_name is None:
images = glob(osp.join(self.img_dir, opts.image_file_string))
else:
images = glob(osp.join(self.img_dir, filter_name + opts.image_file_string))
num_images = np.min([len(images), opts.num_images])
images = images[:num_images]
self.anno = [None]*num_images
self.anno_camera = [None]*len(images)
for i, img in enumerate(images):
anno_path = osp.join(self.data_dir, 'annotations/%s.pkl' % osp.splitext(osp.basename(img))[0])
if osp.exists(anno_path):
self.anno[i] = pkl.load(open(anno_path))
self.anno[i]['mask_path'] = osp.join(self.data_dir, 'bgsub/%s.png' % osp.splitext(osp.basename(img))[0])
self.anno[i]['img_path'] = img
uv_flow_path = osp.join(self.data_dir, 'uvflow/%s.pkl' % osp.splitext(osp.basename(img))[0])
if osp.exists(uv_flow_path):
self.anno[i]['uv_flow_path'] = uv_flow_path
# In case we have the texture map
if 'texture_map_filename' in self.anno[i].keys():
if opts.use_per_file_texmap:
self.anno[i]['texture_map'] = osp.join(self.data_dir, 'texmap/%s.png' % osp.splitext(osp.basename(img))[0])
else:
self.anno[i]['texture_map'] = osp.join(self.data_dir, 'texture_maps/%s' % self.anno[i]['texture_map_filename'])
# Add a column to the keypoints in case the visibility is not defined
if self.anno[i]['keypoints'].shape[1] < 3:
self.anno[i]['keypoints'] = np.column_stack([self.anno[i]['keypoints'], np.ones(self.anno[i]['keypoints'].shape[0])])
self.anno_camera[i]= {'flength': self.anno[i]['flength'], 'trans': np.zeros(2, dtype=float)}
self.kp_perm = np.array(range(self.anno[0]['keypoints'].shape[0]))
if opts.preload_image:
self.anno[i]['img'] = scipy.misc.imread(self.anno[i]['img_path']) / 255.0
if opts.preload_texture_map:
texture_map = scipy.misc.imread(self.anno[i]['texture_map']) / 255.0
self.anno[i]['texture_map_data'] = np.transpose(texture_map, (2, 0, 1))
if opts.preload_mask:
self.anno[i]['mask'] = scipy.misc.imread(self.anno[i]['mask_path']) / 255.0
if opts.preload_uvflow:
uvdata = pkl.load(open(self.anno[i]['uv_flow_path']))
uv_flow = uvdata['uv_flow'].astype(np.float32)
uv_flow[:,:,0] = uv_flow[:,:,0] /(uvdata['img_h']/2.)
uv_flow[:,:,1] = uv_flow[:,:,1] /(uvdata['img_w']/2.)
self.anno[i]['uv_flow'] = uv_flow
else:
mask_path = osp.join(self.data_dir, 'bgsub/%s.png' % osp.splitext(osp.basename(img))[0])
if osp.exists(mask_path):
self.anno[i] = {'mask_path': mask_path, 'img_path':img, 'keypoints': None, 'uv_flow':None}
else:
self.anno[i] = {'mask_path': None, 'img_path':img, 'keypoints': None, 'uv_flow':None}
self.anno_camera[i] = {'flength': None, 'trans': None}
self.num_imgs = len(self.anno)
print('%d images' % self.num_imgs)
#import pdb; pdb.set_trace()
#self.debug_crop()
#----------- Data Loader ----------#
#----------------------------------#
def data_loader(opts, shuffle=True, filter_name=None):
return base_data.base_loader(ZebraDataset, opts.batch_size, opts, filter_key=None, shuffle=shuffle, filter_name=filter_name)
def kp_data_loader(batch_size, opts):
return base_data.base_loader(ZebraDataset, batch_size, opts, filter_key='kp')
def mask_data_loader(batch_size, opts):
return base_data.base_loader(ZebraDataset, batch_size, opts, filter_key='mask')
def texture_map_data_loader(batch_size, opts):
return base_data.base_loader(ZebraDataset, batch_size, opts, filter_key='texture_map')
================================================
FILE: docs/tmp.txt
================================================
================================================
FILE: experiments/__init__.py
================================================
================================================
FILE: experiments/smal_shape.py
================================================
"""
Example usage:
python -m smalst.experiments.smal_shape --zebra_dir='smalst/zebra_no_toys_wtex_1000_0' --num_epochs=100000 --save_epoch_freq=20 --name=smal_net_600 --save_training_imgs=True --num_images=20000 --do_validation=True
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
from absl import app
from absl import flags
import os.path as osp
import numpy as np
import torch
import torchvision
from torch.autograd import Variable
import scipy.io as sio
import scipy
import scipy.misc
from collections import OrderedDict
import pickle as pkl
from ..data import zebra as zebra_data
from ..utils import visutil
from ..utils import smal_vis
from ..utils import image as image_utils
from ..nnutils import train_utils
from ..nnutils import loss_utils
from ..nnutils import smal_mesh_net
from ..nnutils.nmr import NeuralRenderer
from ..nnutils import geom_utils
flags.DEFINE_string('dataset', 'zebra', 'zebra')
# Weights:
flags.DEFINE_float('kp_loss_wt', 10., 'keypoint loss weight')
flags.DEFINE_float('kp_2D_loss_wt', 10., 'loss weight for the 2D keypoints predicted by the network')
flags.DEFINE_float('mask_loss_wt', 30., 'mask loss weight')
flags.DEFINE_float('cam_loss_wt', 10000., 'weights to camera loss')
flags.DEFINE_float('deform_reg_wt', 100., 'reg to deformation')
flags.DEFINE_float('triangle_reg_wt', 100., 'weights to triangle smoothness prior')
flags.DEFINE_float('vert2kp_loss_wt', .16, 'reg to vertex assignment')
flags.DEFINE_float('tex_loss_wt', 10., 'weights to tex loss')
flags.DEFINE_boolean('grad_v_in_tex_loss', False, '')
flags.DEFINE_boolean('use_keypoints', True, 'use keypoints loss')
flags.DEFINE_boolean('use_mask', True, 'use mask loss')
flags.DEFINE_boolean('use_shape_reg', False, 'use shape regularizers')
flags.DEFINE_float('tex_map_loss_wt', 10., 'weights to tex map loss')
flags.DEFINE_float('tex_dt_loss_wt', .5, 'weights to tex dt loss')
flags.DEFINE_float('mod_trans_loss_wt', 4000., 'weights for model translation loss')
flags.DEFINE_float('mod_pose_loss_wt', 200000., 'weights for model pose loss')
flags.DEFINE_float('betas_reg_wt', 100000., 'weights for betas prior loss')
flags.DEFINE_float('delta_v_loss_wt', 100000., 'weights for model delta_v')
flags.DEFINE_float('occ_loss_wt', 100., 'weights for occlusion loss')
flags.DEFINE_boolean('infer_vert2kp', False, 'estimate keypoints on the 3D model instead of using predefined values.')
flags.DEFINE_boolean('no_delta_v', False, 'set predicted deformations to zero')
flags.DEFINE_boolean('use_gtpose', False, 'if true uses gt pose for projection, but trans still gets trained.')
flags.DEFINE_boolean('use_gttrans', False, 'if true uses gt trans for projection, but pose still gets trained.')
flags.DEFINE_boolean('use_gtcam', False, 'if true uses gt cam for projection, but cam still gets trained.')
flags.DEFINE_boolean('use_gtbetas', False, 'if true uses gt betas for projection, but betas still gets trained.')
flags.DEFINE_boolean('use_gtdeltav', False, '')
flags.DEFINE_boolean('use_gttexture', False, '')
flags.DEFINE_boolean('use_camera_loss', True, 'if train with gt camera')
flags.DEFINE_boolean('random_bkg', False, 'if using a random background rather than black in the pred image')
flags.DEFINE_boolean('use_perceptual_loss', True, '')
flags.DEFINE_boolean('uv_flow', True, '')
flags.DEFINE_float('uv_flow_loss_wt', 100000., 'weights for uv_flow loss')
flags.DEFINE_boolean('use_pose_geodesic_loss', True, '')
flags.DEFINE_boolean('use_loss_on_whole_image', False, 'if compose the predicted animal with the image background')
flags.DEFINE_boolean('use_tex_dt', True, 'if use loss (4) in the birds paper')
flags.DEFINE_boolean('white_balance_for_texture_map', False, '')
flags.DEFINE_boolean('use_img_as_background', False, 'if to use the input image as background for the optimization')
flags.DEFINE_boolean('use_gtmask_for_background', False, 'if to use the input image as background for the optimization')
flags.DEFINE_boolean('use_per_image_rgb_bg', False, 'if to compute per-imag rgb colors for background in optimization')
opts = flags.FLAGS
curr_path = osp.dirname(osp.abspath(__file__))
cache_path = osp.join(curr_path, '..', 'cachedir')
class ShapeTrainer(train_utils.Trainer):
def define_model(self):
opts = self.opts
self.symmetric = opts.symmetric
img_size = (opts.img_size, opts.img_size)
texture_mask_path = 'smalst/'+opts.dataset+'_data/texture_maps/my_smpl_00781_4_all_template_w_tex_uv_001_mask_small.png'
self.texture_map_mask = torch.Tensor(scipy.misc.imread(texture_mask_path) / 255.0).cuda(device=opts.gpu_id)
tex_masks = None
data_path = 'smalst/smpl_models/my_smpl_data_00781_4_all.pkl'
data = pkl.load(open(data_path))
pca_var = data['eigenvalues'][:opts.num_betas]
self.betas_prec = torch.Tensor(pca_var).cuda(device=opts.gpu_id).expand(opts.batch_size, opts.num_betas)
self.model = smal_mesh_net.MeshNet(
img_size, opts, nz_feat=opts.nz_feat, num_kps=opts.num_kps, tex_masks=tex_masks)
if opts.num_pretrain_epochs > 0:
self.load_network(self.model, 'pred', opts.num_pretrain_epochs)
self.model = self.model.cuda(device=opts.gpu_id)
if not opts.infer_vert2kp:
self.vert2kp = torch.Tensor(pkl.load(open('smalst/'+opts.dataset+'_data/verts2kp.pkl'))).cuda(device=opts.gpu_id)
# Data structures to use for triangle priors.
edges2verts = self.model.edges2verts
# B x E x 4
edges2verts = np.tile(np.expand_dims(edges2verts, 0), (opts.batch_size, 1, 1))
self.edges2verts = Variable(torch.LongTensor(edges2verts).cuda(device=opts.gpu_id), requires_grad=False)
# For renderering.
faces = self.model.faces.view(1, -1, 3)
self.faces = faces.repeat(opts.batch_size, 1, 1)
self.renderer = NeuralRenderer(opts.img_size, opts.projection_type, opts.norm_f, opts.norm_z, opts.norm_f0)
if opts.texture:
self.tex_renderer = NeuralRenderer(opts.img_size, opts.projection_type, opts.norm_f, opts.norm_z, opts.norm_f0)
# Only use ambient light for tex renderer
if opts.use_directional_light:
self.tex_renderer.directional_light_only()
else:
self.tex_renderer.ambient_light_only()
# For visualization
self.vis_rend = smal_vis.VisRenderer(opts.img_size, faces.data.cpu().numpy(), opts.projection_type, opts.norm_f, opts.norm_z, opts.norm_f0)
self.background_imgs = None
return
def init_dataset(self):
opts = self.opts
if opts.dataset == 'zebra':
self.data_module = zebra_data
else:
print('Unknown dataset %d!' % opts.dataset)
self.dataloader = self.data_module.data_loader(opts)
self.resnet_transform = torchvision.transforms.Normalize(
mean=[0.485, 0.456, 0.406],
std=[0.229, 0.224, 0.225])
def define_criterion(self):
if opts.use_keypoints:
self.projection_loss = loss_utils.kp_l2_loss
if opts.use_mask:
self.mask_loss_fn = loss_utils.mask_loss
if opts.infer_vert2kp:
self.entropy_loss = loss_utils.entropy_loss
if self.opts.use_camera_loss:
self.camera_loss = loss_utils.camera_loss
if opts.use_smal_betas:
self.betas_loss_fn = loss_utils.betas_loss
self.delta_v_loss_fn = loss_utils.delta_v_loss
if self.opts.texture:
if self.opts.use_perceptual_loss:
if False:
self.texture_loss = loss_utils.MSE_texture_loss
else:
self.texture_loss = loss_utils.PerceptualTextureLoss()
else:
self.texture_loss = loss_utils.texture_loss
self.texture_dt_loss_fn = loss_utils.texture_dt_loss
if opts.texture_map:
self.texture_map_loss = loss_utils.texture_map_loss
if opts.uv_flow:
self.uv_flow_loss = loss_utils.uv_flow_loss
self.model_trans_loss_fn = loss_utils.model_trans_loss
self.model_pose_loss_fn = loss_utils.model_pose_loss
def set_optimization_input(self):
opts = self.opts
cams = np.zeros((self.scale_pred.shape[0], 3))
cams[:,0] = self.scale_pred.data
cams[:,1:] = 128
self.cams = Variable(torch.FloatTensor(cams).cuda(device=opts.gpu_id), requires_grad=False)
self.model_trans = Variable(self.trans_pred.cuda(device=opts.gpu_id), requires_grad=False)
def set_optimization_variables(self):
'''
Sets as optimization variables those obtained as prediction from the network
'''
opts = self.opts
cams = np.zeros((self.scale_pred.shape[0], 3))
cams[:,0] = self.scale_pred.data
cams[:,1:] = 128
# Prediction is gt
self.cams = Variable(torch.FloatTensor(cams).cuda(device=opts.gpu_id), requires_grad=False)
self.model_pose = Variable(self.pose_pred.cuda(device=opts.gpu_id), requires_grad=False)
self.model_trans = Variable(self.trans_pred.cuda(device=opts.gpu_id), requires_grad=False)
self.delta_v= Variable(self.delta_v.cuda(device=opts.gpu_id), requires_grad=False)
def set_input(self, batch):
opts = self.opts
# Image with annotations.
input_img_tensor = batch['img'].type(torch.FloatTensor)
for b in range(input_img_tensor.size(0)):
input_img_tensor[b] = self.resnet_transform(input_img_tensor[b])
img_tensor = batch['img'].type(torch.FloatTensor)
self.input_imgs = Variable( input_img_tensor.cuda(device=opts.gpu_id), requires_grad=False)
self.imgs = Variable( img_tensor.cuda(device=opts.gpu_id), requires_grad=False)
#if opts.use_mask and 'mask' in batch.keys():
if 'mask' in batch.keys():
mask_tensor = batch['mask'].type(torch.FloatTensor)
self.masks = Variable( mask_tensor.cuda(device=opts.gpu_id), requires_grad=False)
else:
self.masks = None
if opts.use_keypoints and 'kp' in batch.keys():
kp_tensor = batch['kp'].type(torch.FloatTensor)
self.kps = Variable( kp_tensor.cuda(device=opts.gpu_id), requires_grad=False)
else:
self.kps = None
self.img_paths = batch['img_path']
if 'camera_params' in batch.keys():
cam_tensor = batch['camera_params'].type(torch.FloatTensor)
if opts.use_norm_f_and_z:
cam_tensor[:,0] = (cam_tensor[:,0]-opts.norm_f0)/opts.norm_f
self.cams = Variable( cam_tensor.cuda(device=opts.gpu_id), requires_grad=False)
else:
self.cams = None
cam_c_tensor = batch['camera_params_c'].type(torch.FloatTensor)
self.cams_center = Variable(cam_c_tensor.cuda(device=opts.gpu_id), requires_grad=False)
if 'model_trans' in batch.keys():
model_trans_tensor = batch['model_trans'].type(torch.FloatTensor)
if opts.use_norm_f_and_z:
model_trans_tensor[:,2] = model_trans_tensor[:,2]-opts.norm_z +1.
self.model_trans = Variable(
model_trans_tensor.cuda(device=opts.gpu_id), requires_grad=False)
if 'model_pose' in batch.keys():
model_pose_tensor = batch['model_pose'].type(torch.FloatTensor)
self.model_pose = Variable(
model_pose_tensor.cuda(device=opts.gpu_id), requires_grad=False)
else:
self.model_trans = None
self.model_pose = None
if 'model_betas' in batch.keys():
model_betas_tensor = batch['model_betas'][:,:self.opts.num_betas].type(torch.FloatTensor)
self.model_betas = Variable(
model_betas_tensor.cuda(device=opts.gpu_id), requires_grad=False)
else:
self.model_betas = None
if 'model_delta_v' in batch.keys():
model_delta_v_tensor = batch['model_delta_v'].type(torch.FloatTensor)
self.model_delta_v = Variable(
model_delta_v_tensor.cuda(device=opts.gpu_id), requires_grad=False)
else:
self.model_delta_v = None
if opts.texture_map:
assert('texture_map' in batch.keys())
texture_map_tensor = batch['texture_map'].type(torch.FloatTensor)
self.texture_map = Variable(texture_map_tensor.cuda(device=opts.gpu_id), requires_grad=False)
else:
self.texture_map = None
if 'uv_flow' in batch.keys():
uv_flow_tensor = batch['uv_flow'].type(torch.FloatTensor).permute(0,3,1,2)
self.uv_flow_gt = Variable(uv_flow_tensor.cuda(device=opts.gpu_id), requires_grad=False)
else:
self.uv_flow_gt = None
# Compute barrier distance transform.
#if opts.use_mask and self.masks is not None:
if self.masks is not None:
mask_dts = np.stack([image_utils.compute_dt_barrier(m) for m in batch['mask']])
dt_tensor = torch.FloatTensor(mask_dts).cuda(device=opts.gpu_id)
# B x 1 x N x N
self.dts_barrier = Variable(dt_tensor, requires_grad=False).unsqueeze(1)
def forward(self, opts_scale=None, opts_pose=None, opts_trans=None, opts_delta_v=None):
opts = self.opts
if opts.use_double_input:
masks = self.input_imgs*self.masks
else:
masks = None
if opts.texture:
pred_codes, self.textures = self.model.forward(self.input_imgs, masks)
else:
pred_codes = self.model.forward(self.input_imgs, masks)
self.delta_v, self.scale_pred, self.trans_pred, self.pose_pred, self.betas_pred, self.kp_2D_pred = pred_codes
if opts.fix_trans:
self.trans_pred[:,2] = self.model_trans[:,2]
if opts.use_gttrans:
print('Using gt trans')
self.trans_pred = self.model_trans
if opts.use_gtpose:
print('Using gt pose')
self.pose_pred = self.model_pose
if opts.use_gtcam:
print('Using gt cam')
self.scale_pred = self.cams[:,0,None]
if opts.use_gtbetas:
print('Using gt betas')
self.betas_pred = self.model_betas
if opts.use_gtdeltav:
print('Using gt delta_v')
self.delta_v = self.model_delta_v
if self.cams is not None:
# The camera center does not change; here we predicting flength
self.cam_pred = torch.cat([self.scale_pred, self.cams[:,1:]], 1)
else:
self.cam_pred = torch.cat([self.scale_pred, self.cams_center], 1)
if opts.only_mean_sym:
del_v = self.delta_v
else:
del_v = self.model.symmetrize(self.delta_v)
if opts.no_delta_v:
del_v[:] = 0
if opts.use_smal_pose:
self.pred_v = self.model.get_smal_verts(self.pose_pred, self.betas_pred, self.trans_pred, del_v)
else:
# TODO
self.mean_shape = self.model.get_mean_shape()
self.pred_v = self.mean_shape + del_v + self.trans_pred
# Compute keypoints.
if opts.infer_vert2kp:
self.vert2kp = torch.nn.functional.softmax(self.model.vert2kp, dim=1)
self.kp_verts = torch.matmul(self.vert2kp, self.pred_v)
# Set projection camera
proj_cam = self.cam_pred
# Project keypoints
if opts.use_keypoints:
self.kp_pred = self.renderer.project_points(self.kp_verts, proj_cam)
# Render mask.
self.mask_pred = self.renderer.forward(self.pred_v, self.faces, proj_cam)
if opts.texture:
self.texture_flow = self.textures
self.textures = geom_utils.sample_textures(self.texture_flow, self.imgs)
tex_size = self.textures.size(2)
self.textures = self.textures.unsqueeze(4).repeat(1, 1, 1, 1, tex_size, 1)
if opts.use_gttexture:
idx=0
from ..utils.obj2nmr import obj2nmr_uvmap
uv_map = obj2nmr_uvmap(self.model.ft, self.model.vt, tex_size=tex_size)
uv_img = self.texture_map[idx,:,:,:]
uv_img = uv_img.permute(1,2,0)
texture_t = sample_texture(uv_map, uv_img)
self.textures[0,:,:,:,:,:] = texture_t[0,:,:,:,:,:]
if opts.grad_v_in_tex_loss:
self.texture_pred = self.tex_renderer.forward(self.pred_v, self.faces, proj_cam.detach(), textures=self.textures)
else:
self.texture_pred = self.tex_renderer.forward(self.pred_v.detach(), self.faces, proj_cam.detach(), textures=self.textures)
else:
self.textures = None
if opts.save_training_imgs and opts.use_mask and self.masks is not None:
T = 255*self.mask_pred.cpu().detach().numpy()[0,:,:]
scipy.misc.imsave(opts.name + '_mask_pred.png', T)
T = 255*self.masks.cpu().detach().numpy()[0,:,:,:]
T = np.transpose(T,(1,2,0))[:,:,0]
scipy.misc.imsave(opts.name + '_mask_gt.png', T)
# Compute losses for this instance.
if self.opts.use_keypoints and self.kps is not None:
self.kp_loss = self.projection_loss(self.kp_pred, self.kps)
if self.opts.use_mask and self.masks is not None:
self.mask_loss = self.mask_loss_fn(self.mask_pred, self.masks[:,0,:,:])
if self.opts.use_camera_loss and self.cams is not None:
self.cam_loss = self.camera_loss(self.cam_pred, self.cams, 0, self.opts.use_norm_f_and_z)
if self.model_trans is not None:
self.mod_trans_loss = self.model_trans_loss_fn(self.trans_pred, self.model_trans)
if self.model_pose is not None:
self.mod_pose_loss = self.model_pose_loss_fn(self.pose_pred, self.model_pose, self.opts)
if opts.texture:
if opts.use_loss_on_whole_image:
if self.background_imgs is None:
print("SETTING BACKGROUND MODEL")
self.background_imgs = np.zeros(self.imgs.shape)
fg_mask = self.mask_pred.detach().cpu().numpy()
I = self.imgs.detach().cpu().numpy()
bg_mask = np.abs(fg_mask-1)
rgb = np.zeros((3))
n = np.sum(bg_mask)
for c in range(3):
I[:,c,:,:] = I[:,c,:,:] * bg_mask
rgb[c] = np.sum(I[0,c,:,:])/n
if self.background_model_top is not None:
N = 128
for c in range(3):
self.background_imgs[:,c,:N,:] = self.background_model_top[c]
self.background_imgs[:,c,N:,:] = self.background_model_bottom[c]
else:
# This is what we use for optimization
if opts.use_per_image_rgb_bg:
self.background_imgs[:,0,:,:] = rgb[0]
self.background_imgs[:,1,:,:] = rgb[1]
self.background_imgs[:,2,:,:] = rgb[2]
else:
self.background_imgs[:,0,:,:] = .6964
self.background_imgs[:,1,:,:] = .5806
self.background_imgs[:,2,:,:] = .4780
# Verification experiment: replace with image
if opts.use_img_as_background:
self.background_imgs[:,0,:,:] = self.imgs.data[:,0,:,:]
self.background_imgs[:,1,:,:] = self.imgs.data[:,1,:,:]
self.background_imgs[:,2,:,:] = self.imgs.data[:,2,:,:]
self.background_imgs = torch.Tensor(self.background_imgs).cuda(device=opts.gpu_id)
if self.masks is not None:
if opts.use_loss_on_whole_image:
self.tex_loss = self.texture_loss(self.texture_pred, self.imgs, self.mask_pred, None, self.background_imgs)
else:
self.tex_loss = self.texture_loss(self.texture_pred, self.imgs, self.mask_pred, self.masks[:,0,:,:])
if opts.use_tex_dt:
self.tex_dt_loss = self.texture_dt_loss_fn(self.texture_flow, self.dts_barrier[:,:,:,:,0])
else:
if opts.use_loss_on_whole_image:
self.tex_loss = self.texture_loss(self.texture_pred, self.imgs, self.mask_pred, None, self.background_imgs)
else:
self.tex_loss = self.texture_loss(self.texture_pred, self.imgs, self.mask_pred, None)
if opts.texture_map and self.texture_map is not None:
uv_flows = self.model.texture_predictor.uvimage_pred
uv_flows = uv_flows.permute(0, 2, 3, 1)
uv_images = torch.nn.functional.grid_sample(self.imgs, uv_flows)
self.tex_map_loss = self.texture_map_loss(uv_images, self.texture_map, self.texture_map_mask, self.opts)
if opts.uv_flow and self.uv_flow_gt is not None:
uv_flows = self.model.texture_predictor.uvimage_pred
self.uv_f_loss = self.uv_flow_loss(uv_flows, self.uv_flow_gt)
# Priors:
if opts.infer_vert2kp:
self.vert2kp_loss = self.entropy_loss(self.vert2kp)
if opts.use_smal_betas:
self.betas_loss = self.betas_loss_fn(self.betas_pred, self.model_betas, self.betas_prec)
if self.model_delta_v is not None:
self.delta_v_loss = self.delta_v_loss_fn(self.delta_v, self.model_delta_v)
# Finally sum up the loss.
# Instance loss:
if opts.use_keypoints and self.kps is not None:
self.total_loss = opts.kp_loss_wt * self.kp_loss
if opts.use_mask and self.masks is not None:
self.total_loss += opts.mask_loss_wt * self.mask_loss
else:
if opts.use_mask and self.masks is not None:
self.total_loss = opts.mask_loss_wt * self.mask_loss
else:
self.total_loss = 0
if not opts.use_gtcam and self.opts.use_camera_loss and self.cams is not None:
self.total_loss += opts.cam_loss_wt * self.cam_loss
if opts.texture:
self.total_loss += opts.tex_loss_wt * self.tex_loss
if opts.texture_map and self.texture_map is not None:
self.total_loss += opts.tex_map_loss_wt * self.tex_map_loss
if opts.uv_flow and self.uv_flow_gt is not None:
self.total_loss += opts.uv_flow_loss_wt * self.uv_f_loss
if self.model_trans is not None:
if not opts.use_gttrans:
self.total_loss += opts.mod_trans_loss_wt * self.mod_trans_loss
if self.model_pose is not None:
if not opts.use_gtpose:
self.total_loss += opts.mod_pose_loss_wt * self.mod_pose_loss
if self.model_delta_v is not None:
self.total_loss += opts.delta_v_loss_wt*self.delta_v_loss
# Priors:
if opts.infer_vert2kp:
self.total_loss += opts.vert2kp_loss_wt * self.vert2kp_loss
if opts.use_smal_betas:
self.total_loss += opts.betas_reg_wt * self.betas_loss
if opts.texture and self.masks is not None and opts.use_tex_dt:
self.total_loss += opts.tex_dt_loss_wt * self.tex_dt_loss
def get_current_visuals(self):
vis_dict = {}
try:
mask_concat = torch.cat([self.masks[:,0,:,:], self.mask_pred], 2)
except:
import pdb; pdb.set_trace()
if self.opts.texture:
# B x 2 x H x W
uv_flows = self.model.texture_predictor.uvimage_pred
# B x H x W x 2
uv_flows = uv_flows.permute(0, 2, 3, 1)
uv_images = torch.nn.functional.grid_sample(self.imgs, uv_flows)
num_show = min(2, self.opts.batch_size)
show_uv_imgs = []
show_uv_flows = []
for i in range(num_show):
input_img = smal_vis.kp2im(self.kps[i].data, self.imgs[i].data)
pred_kp_img = smal_vis.kp2im(self.kp_pred[i].data, self.imgs[i].data)
masks = smal_vis.tensor2mask(mask_concat[i].data)
if self.opts.texture:
texture_here = self.textures[i]
else:
texture_here = None
rend_predcam = self.vis_rend(self.pred_v[i], self.cam_pred[i], texture=texture_here)
# Render from front & back:
rend_frontal = self.vis_rend.diff_vp(self.pred_v[i], self.cam_pred[i], texture=texture_here, kp_verts=self.kp_verts[i])
rend_top = self.vis_rend.diff_vp(self.pred_v[i], self.cam_pred[i], axis=[0, 1, 0], texture=texture_here, kp_verts=self.kp_verts[i])
diff_rends = np.hstack((rend_frontal, rend_top))
if self.opts.texture:
uv_img = smal_vis.tensor2im(uv_images[i].data)
show_uv_imgs.append(uv_img)
uv_flow = smal_vis.visflow(uv_flows[i].data)
show_uv_flows.append(uv_flow)
tex_img = smal_vis.tensor2im(self.texture_pred[i].data)
imgs = np.hstack((input_img, pred_kp_img, tex_img))
else:
imgs = np.hstack((input_img, pred_kp_img))
rend_gtcam = self.vis_rend(self.pred_v[i], self.cams[i], texture=texture_here)
rends = np.hstack((diff_rends, rend_predcam, rend_gtcam))
vis_dict['%d' % i] = np.hstack((imgs, rends, masks))
vis_dict['masked_img %d' % i] = smal_vis.tensor2im((self.imgs[i] * self.masks[i]).data)
if self.opts.texture:
vis_dict['uv_images'] = np.hstack(show_uv_imgs)
vis_dict['uv_flow_vis'] = np.hstack(show_uv_flows)
return vis_dict
def get_current_points(self):
return {
'mean_shape': visutil.tensor2verts(self.mean_shape.data),
'verts': visutil.tensor2verts(self.pred_v.data),
}
def get_current_scalars(self):
sc_dict = OrderedDict([
('smoothed_total_loss', self.smoothed_total_loss),
('total_loss', self.total_loss.item()),
])
if self.opts.use_smal_betas:
sc_dict['betas_reg'] = self.betas_loss.item()
if self.opts.use_mask and self.masks is not None:
sc_dict['mask_loss'] = self.mask_loss.item()
if self.opts.use_keypoints and self.kps is not None:
sc_dict['kp_loss'] = self.kp_loss.item()
if self.opts.use_camera_loss and self.cams is not None:
sc_dict['cam_loss'] = self.cam_loss.item()
if self.opts.texture:
sc_dict['tex_loss'] = self.tex_loss.item()
if self.opts.texture_map and self.opts.use_tex_dt and self.masks is not None:
sc_dict['tex_dt_loss'] = self.tex_dt_loss.item()
if self.opts.uv_flow and self.uv_flow_gt is not None:
sc_dict['uv_flow_loss'] = self.uv_f_loss.item()
if self.opts.texture_map and self.texture_map is not None:
sc_dict['tex_map_loss'] = self.tex_map_loss.item()
if self.model_trans is not None:
sc_dict['model_trans_loss'] = self.mod_trans_loss.item()
if self.model_pose is not None:
sc_dict['model_pose_loss'] = self.mod_pose_loss.item()
if opts.infer_vert2kp:
sc_dict['vert2kp_loss'] = self.vert2kp_loss.item()
if self.model_delta_v is not None:
sc_dict['model_delta_v_loss'] = self.delta_v_loss.item()
return sc_dict
def main(_):
torch.manual_seed(0)
np.random.seed(0)
trainer = ShapeTrainer(opts)
trainer.init_training()
trainer.train()
if __name__ == '__main__':
app.run(main)
================================================
FILE: external/__init__.py
================================================
================================================
FILE: external/install_external.sh
================================================
git clone https://github.com/shubhtuls/PerceptualSimilarity
git clone https://github.com/hiroharu-kato/neural_renderer --branch v1.1.0
cd neural_renderer
python setup.py install
================================================
FILE: nnutils/__init__.py
================================================
================================================
FILE: nnutils/geom_utils.py
================================================
"""
Utils related to geometry like projection,,
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import torch
def sample_textures(texture_flow, images):
"""
texture_flow: B x F x T x T x 2
(In normalized coordinate [-1, 1])
images: B x 3 x N x N
output: B x F x T x T x 3
"""
# Reshape into B x F x T*T x 2
T = texture_flow.size(-2)
F = texture_flow.size(1)
flow_grid = texture_flow.view(-1, F, T * T, 2)
# B x 3 x F x T*T
samples = torch.nn.functional.grid_sample(images, flow_grid)
# B x 3 x F x T x T
samples = samples.view(-1, 3, F, T, T)
# B x F x T x T x 3
return samples.permute(0, 2, 3, 4, 1)
def perspective_proj_withz(X, cam, offset_z=0, cuda_device=0,norm_f=1., norm_z=0.,norm_f0=0.):
"""
X: B x N x 3
cam: B x 3: [f, cx, cy]
offset_z is for being compatible with previous code and is not used and should be removed
"""
# B x 1 x 1
#f = norm_f * cam[:, 0].contiguous().view(-1, 1, 1)
f = norm_f0+norm_f * cam[:, 0].contiguous().view(-1, 1, 1)
# B x N x 1
z = norm_z + X[:, :, 2, None]
# Will z ever be 0? We probably should max it..
eps = 1e-6 * torch.ones(1).cuda(device=cuda_device)
z = torch.max(z, eps)
image_size_half = cam[0,1]
scale = f / (z*image_size_half)
# Offset is because cam is at -1
return torch.cat((scale * X[:, :, :2], z+offset_z),2)
================================================
FILE: nnutils/loss_utils.py
================================================
"""
Loss Utils.
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import torch
from . import geom_utils
import numpy as np
from ..smal_model.batch_lbs import batch_rodrigues
def texture_dt_loss(texture_flow, dist_transf, vis_rend=None, cams=None, verts=None, tex_pred=None):
"""
texture_flow: B x F x T x T x 2
(In normalized coordinate [-1, 1])
dist_transf: B x 1 x N x N
Similar to geom_utils.sample_textures
But instead of sampling image, it samples dt values.
"""
# Reshape into B x F x T*T x 2
T = texture_flow.size(-2)
F = texture_flow.size(1)
flow_grid = texture_flow.view(-1, F, T * T, 2)
# B x 1 x F x T*T
dist_transf = torch.nn.functional.grid_sample(dist_transf, flow_grid)
if vis_rend is not None:
# Visualize the error!
# B x 3 x F x T*T
dts = dist_transf.repeat(1, 3, 1, 1)
# B x 3 x F x T x T
dts = dts.view(-1, 3, F, T, T)
# B x F x T x T x 3
dts = dts.permute(0, 2, 3, 4, 1)
dts = dts.unsqueeze(4).repeat(1, 1, 1, 1, T, 1) / dts.max()
from ..utils import smal_vis
for i in range(dist_transf.size(0)):
rend_dt = vis_rend(verts[i], cams[i], dts[i])
rend_img = smal_vis.tensor2im(tex_pred[i].data)
import matplotlib.pyplot as plt
plt.ion()
fig=plt.figure(1)
plt.clf()
ax = fig.add_subplot(121)
ax.imshow(rend_dt)
ax = fig.add_subplot(122)
ax.imshow(rend_img)
import pdb; pdb.set_trace()
return dist_transf.mean()
def texture_loss(img_pred, img_gt, mask_pred, mask_gt):
"""
Input:
img_pred, img_gt: B x 3 x H x W
mask_pred, mask_gt: B x H x W
"""
mask_pred = mask_pred.unsqueeze(1)
mask_gt = mask_gt.unsqueeze(1)
masked_rend = (img_pred * mask_pred)[0].data.cpu().numpy()
masked_gt = (img_gt * mask_gt)[0].data.cpu().numpy()
return torch.nn.L1Loss()(img_pred * mask_pred, img_gt * mask_gt)
def uv_flow_loss(uv_flow_pred, uv_flow_gt_w_mask):
"""
Input:
uv_flow_pred: B x 2 x H x W
uv_flow_gt_w_mask: B x 3 x H x W
"""
# We only have info for the uv_flow for the points where mask is one
mask = uv_flow_gt_w_mask[:,2,:,:].unsqueeze(1)
uv_flow_gt = uv_flow_gt_w_mask[:,:2,:,:]
return torch.nn.L1Loss()(uv_flow_pred*mask, uv_flow_gt*mask)
def mask_loss(mask_pred, mask_gt):
"""
Input:
mask_pred: B x 3 x H x W
mask_gt: B x H x W
"""
return torch.nn.L1Loss()(mask_pred, mask_gt)
def delta_v_loss(delta_v, delta_v_gt):
criterion = torch.nn.MSELoss()
return criterion(delta_v, delta_v_gt)
def texture_map_loss(texture_map_pred, texture_map_gt, texture_map_mask, opts=None):
"""
Input:
texture_map_pred: B x 3 x tH x tW
texture_gt: B x 3 x tH x tW
texture_map_mask: tH x tW
"""
mask = texture_map_mask[None,:,:,0]
texture_map_pred = texture_map_pred*mask
texture_map_gt = texture_map_gt*mask
if opts.white_balance_for_texture_map:
# do gray world normalization
N = torch.sum(mask)
B = texture_map_pred.shape[0]
# gray values
g_pred = torch.sum(texture_map_pred.view(B,3,-1),dim=2)/N
g_gt = torch.sum(texture_map_gt.view(B,3,-1),dim=2)/N
texture_map_pred = texture_map_pred / (g_pred.unsqueeze_(-1).unsqueeze_(-1))
texture_map_gt = texture_map_gt / (g_gt.unsqueeze_(-1).unsqueeze_(-1))
return torch.nn.L1Loss()(texture_map_pred, texture_map_gt)
def camera_loss(cam_pred, cam_gt, margin, normalized):
"""
cam_* are B x 7, [sc, tx, ty, quat]
Losses are in similar magnitude so one margin is ok.
"""
# Only the first element as the rest is fixed
if normalized:
criterion = torch.nn.MSELoss()
return criterion(cam_pred[:, 0], cam_gt[:, 0])
else:
st_loss = ((cam_pred[:, 0] - cam_gt[:, 0])/1e3)**2
return st_loss.mean()
def model_trans_loss(trans_pred, trans_gt):
"""
trans_pred: B x 3
trans_gt: B x 3
"""
criterion = torch.nn.MSELoss()
return criterion(trans_pred, trans_gt)
def model_pose_loss(pose_pred, pose_gt, opts):
"""
pose_pred: B x 115
pose_gt: B x 115
"""
if opts.use_pose_geodesic_loss:
# Convert each angle in
R = torch.reshape( batch_rodrigues(torch.reshape(pose_pred, [-1, 3]), opts=opts), [-1, 35, 3, 3])
# Loss is acos((tr(R'R)-1)/2)
Rgt = torch.reshape( batch_rodrigues(torch.reshape(pose_gt, [-1, 3]), opts=opts), [-1, 35, 3, 3])
RT = R.permute(0,1,3,2)
A = torch.matmul(RT.view(-1,3,3),Rgt.view(-1,3,3))
# torch.trace works only for 2D tensors
n = A.shape[0]
po_loss = 0
eps = 1e-7
for i in range(A.shape[0]):
T = (torch.trace(A[i,:,:])-1)/2.
po_loss += torch.acos(torch.clamp(T, -1 + eps, 1-eps))
po_loss = po_loss/(n*35)
return po_loss
else:
criterion = torch.nn.MSELoss()
return criterion(pose_pred, pose_gt)
def betas_loss(betas_pred, betas_gt=None, prec=None):
"""
betas_pred: B x 10
"""
if betas_gt is None:
if prec is None:
b_loss = betas_pred**2
else:
b_loss = betas_pred*prec
return b_loss.mean()
else:
criterion = torch.nn.MSELoss()
return criterion(betas_pred, betas_gt)
def hinge_loss(loss, margin):
# Only penalize if loss > margin
zeros = torch.autograd.Variable(torch.zeros(1).cuda(), requires_grad=False)
return torch.max(loss - margin, zeros)
def kp_l2_loss(kp_pred, kp_gt):
"""
L2 loss between visible keypoints.
\Sum_i [0.5 * vis[i] * (kp_gt[i] - kp_pred[i])^2] / (|vis|)
"""
criterion = torch.nn.MSELoss()
vis = (kp_gt[:, :, 2, None] > 0).float()
# This always has to be (output, target), not (target, output)
return criterion(vis * kp_pred, vis * kp_gt[:, :, :2])
def keypoints_2D_loss(kp_pred, kp_gt):
criterion = torch.nn.MSELoss()
vis = (kp_gt[:, :, 2, None] > 0).float()
return criterion(vis * kp_pred, vis * kp_gt[:, :, :2])
def MSE_texture_loss(img_pred, img_gt, mask_pred, mask_gt, background_imgs=None):
mask_pred = mask_pred.unsqueeze(1)
if mask_gt is None:
M = torch.abs(mask_pred - 1.)
img_pred = img_pred*mask_pred + background_imgs*M
dist = torch.nn.MSELoss()(img_pred*mask_pred, img_gt*mask_pred)
return dist
class PerceptualTextureLoss(object):
def __init__(self):
from ..nnutils.perceptual_loss import PerceptualLoss
self.perceptual_loss = PerceptualLoss()
def __call__(self, img_pred, img_gt, mask_pred, mask_gt, background_imgs=None):
"""
Input:
img_pred, img_gt: B x 3 x H x W
mask_pred, mask_gt: B x H x W
"""
mask_pred = mask_pred.unsqueeze(1)
# Add a background to img_pred. This is used for the optimization without the groundtruth mask, but could
# be also used for the regular training
if mask_gt is None:
img_pred = img_pred*mask_pred + background_imgs*(torch.abs(mask_pred - 1.))
dist = self.perceptual_loss(img_pred, img_gt)
return dist.mean()
mask_gt = mask_gt.unsqueeze(1)
# Only use mask_gt..
dist = self.perceptual_loss(img_pred * mask_gt, img_gt * mask_gt)
return dist.mean()
================================================
FILE: nnutils/net_blocks.py
================================================
'''
CNN building blocks.
Taken from https://github.com/shubhtuls/factored3d/
'''
from __future__ import division
from __future__ import print_function
import torch
import torch.nn as nn
import math
class Flatten(nn.Module):
def forward(self, x):
return x.view(x.size()[0], -1)
class Unsqueeze(nn.Module):
def __init__(self, dim):
super(Unsqueeze, self).__init__()
self.dim = dim
def forward(self, x):
return x.unsqueeze(self.dim)
## fc layers
def fc(norm_type, nc_inp, nc_out):
if norm_type == 'batch':
return nn.Sequential(
nn.Linear(nc_inp, nc_out, bias=True),
nn.BatchNorm1d(nc_out),
nn.LeakyReLU(0.2,inplace=True)
)
else:
return nn.Sequential(
nn.Linear(nc_inp, nc_out),
nn.LeakyReLU(0.1,inplace=True)
)
def fc_stack(nc_inp, nc_out, nlayers, norm_type='batch'):
modules = []
for l in range(nlayers):
modules.append(fc(norm_type, nc_inp, nc_out))
nc_inp = nc_out
encoder = nn.Sequential(*modules)
net_init(encoder)
return encoder
def fc_stack_dropout(nc_inp, nc_out, nlayers):
modules = []
modules.append(nn.Linear(nc_inp, 1024, bias=True))
modules.append(nn.ReLU())
modules.append(nn.Dropout())
modules.append(nn.Linear(1024, 1024, bias=True))
modules.append(nn.ReLU())
modules.append(nn.Dropout())
modules.append(nn.Linear(1024, nc_out, bias=True))
encoder = nn.Sequential(*modules)
net_init(encoder)
nl = 1
for m in encoder.modules():
if isinstance(m, nn.Linear):
if nl == nlayers:
torch.nn.init.xavier_normal(m.weight, gain=0.01)
else:
torch.nn.init.xavier_normal(m.weight)
if m.bias is not None:
m.bias.data.zero_()
nl += 1
return encoder
## 2D convolution layers
def conv2d(norm_type, in_planes, out_planes, kernel_size=3, stride=1, num_groups=2):
if norm_type == 'batch':
return nn.Sequential(
nn.Conv2d(in_planes, out_planes, kernel_size=kernel_size, stride=stride, padding=(kernel_size-1)//2, bias=True),
nn.BatchNorm2d(out_planes),
nn.LeakyReLU(0.2,inplace=True)
)
elif norm_type == 'group':
return nn.Sequential(
nn.Conv2d(in_planes, out_planes, kernel_size=kernel_size, stride=stride, padding=(kernel_size-1)//2, bias=True),
nn.GroupNorm(num_groups, out_planes),
nn.LeakyReLU(0.2,inplace=True)
)
else:
return nn.Sequential(
nn.Conv2d(in_planes, out_planes, kernel_size=kernel_size, stride=stride, padding=(kernel_size-1)//2, bias=True),
nn.LeakyReLU(0.2,inplace=True)
)
def deconv2d(in_planes, out_planes):
return nn.Sequential(
nn.ConvTranspose2d(in_planes, out_planes, kernel_size=4, stride=2, padding=1, bias=True),
nn.LeakyReLU(0.2,inplace=True)
)
def upconv2d(in_planes, out_planes, mode='bilinear'):
if mode == 'nearest':
print('Using NN upsample!!')
upconv = nn.Sequential(
nn.Upsample(scale_factor=2, mode=mode),
nn.ReflectionPad2d(1),
nn.Conv2d(in_planes, out_planes, kernel_size=3, stride=1, padding=0),
nn.LeakyReLU(0.2,inplace=True)
)
return upconv
def decoder2d(nlayers, nz_shape, nc_input, norm_type='batch', nc_final=1, nc_min=8, nc_step=1, init_fc=True, use_deconv=False, upconv_mode='bilinear', num_groups=2):
''' Simple 3D encoder with nlayers.
Args:
nlayers: number of decoder layers
nz_shape: number of bottleneck
nc_input: number of channels to start upconvolution from
use_bn: whether to use batch_norm
nc_final: number of output channels
nc_min: number of min channels
nc_step: double number of channels every nc_step layers
init_fc: initial features are not spatial, use an fc & unsqueezing to make them 3D
'''
modules = []
if init_fc:
modules.append(fc('batch', nz_shape, nc_input))
for d in range(3):
modules.append(Unsqueeze(2))
nc_output = nc_input
for nl in range(nlayers):
if (nl % nc_step==0) and (nc_output//2 >= nc_min):
nc_output = nc_output//2
if use_deconv:
print('Using deconv decoder!')
modules.append(deconv2d(nc_input, nc_output))
nc_input = nc_output
modules.append(conv2d(norm_type, nc_input, nc_output, num_groups=num_groups//2))
else:
modules.append(upconv2d(nc_input, nc_output, mode=upconv_mode))
nc_input = nc_output
modules.append(conv2d(norm_type, nc_input, nc_output, num_groups=num_groups//2))
modules.append(nn.Conv2d(nc_output, nc_final, kernel_size=3, stride=1, padding=1, bias=True))
decoder = nn.Sequential(*modules)
net_init(decoder)
return decoder
## 3D convolution layers
def conv3d(norm_type, in_planes, out_planes, kernel_size=3, stride=1, num_groups=2):
if norm_type == 'batch':
return nn.Sequential(
nn.Conv3d(in_planes, out_planes, kernel_size=kernel_size, stride=stride, padding=(kernel_size-1)//2, bias=True),
nn.BatchNorm3d(out_planes),
nn.LeakyReLU(0.2,inplace=True)
)
elif norm_type == 'group':
return nn.Sequential(
nn.Conv3d(in_planes, out_planes, kernel_size=kernel_size, stride=stride, padding=(kernel_size-1)//2, bias=True),
nn.GroupNorm(num_groups, out_planes),
nn.LeakyReLU(0.2,inplace=True)
)
else:
return nn.Sequential(
nn.Conv3d(in_planes, out_planes, kernel_size=kernel_size, stride=stride, padding=(kernel_size-1)//2, bias=True),
nn.LeakyReLU(0.2,inplace=True)
)
def deconv3d(norm_type, in_planes, out_planes, num_groups=2):
if norm_type == 'batch':
return nn.Sequential(
nn.ConvTranspose3d(in_planes, out_planes, kernel_size=4, stride=2, padding=1, bias=True),
nn.BatchNorm3d(out_planes),
nn.LeakyReLU(0.2,inplace=True)
)
elif norm_type == 'group':
return nn.Sequential(
nn.ConvTranspose3d(in_planes, out_planes, kernel_size=4, stride=2, padding=1, bias=True),
nn.GroupNorm(num_groups, out_planes),
nn.LeakyReLU(0.2,inplace=True)
)
else:
return nn.Sequential(
nn.ConvTranspose3d(in_planes, out_planes, kernel_size=4, stride=2, padding=1, bias=True),
nn.LeakyReLU(0.2,inplace=True)
)
## 3D Network Modules
def encoder3d(nlayers, norm_type='batch', nc_input=1, nc_max=128, nc_l1=8, nc_step=1, nz_shape=20):
''' Simple 3D encoder with nlayers.
Args:
nlayers: number of encoder layers
use_bn: whether to use batch_norm
nc_input: number of input channels
nc_max: number of max channels
nc_l1: number of channels in layer 1
nc_step: double number of channels every nc_step layers
nz_shape: size of bottleneck layer
'''
modules = []
nc_output = nc_l1
for nl in range(nlayers):
if (nl>=1) and (nl%nc_step==0) and (nc_output <= nc_max*2):
nc_output *= 2
modules.append(conv3d(norm_type, nc_input, nc_output, stride=1))
nc_input = nc_output
modules.append(conv3d(norm_type, nc_input, nc_output, stride=1))
modules.append(torch.nn.MaxPool3d(kernel_size=2, stride=2))
modules.append(Flatten())
modules.append(fc_stack(nc_output, nz_shape, 2, norm_type))
encoder = nn.Sequential(*modules)
net_init(encoder)
return encoder, nc_output
def decoder3d(nlayers, nz_shape, nc_input, norm_type='batch', nc_final=1, nc_min=8, nc_step=1, init_fc=True):
''' Simple 3D encoder with nlayers.
Args:
nlayers: number of decoder layers
nz_shape: number of bottleneck
nc_input: number of channels to start upconvolution from
use_bn: whether to use batch_norm
nc_final: number of output channels
nc_min: number of min channels
nc_step: double number of channels every nc_step layers
init_fc: initial features are not spatial, use an fc & unsqueezing to make them 3D
'''
modules = []
if init_fc:
modules.append(fc('batch', nz_shape, nc_input))
for d in range(3):
modules.append(Unsqueeze(2))
nc_output = nc_input
for nl in range(nlayers):
if (nl%nc_step==0) and (nc_output//2 >= nc_min):
nc_output = nc_output//2
modules.append(deconv3d(norm_type, nc_input, nc_output))
nc_input = nc_output
modules.append(conv3d(norm_type, nc_input, nc_output))
modules.append(nn.Conv3d(nc_output, nc_final, kernel_size=3, stride=1, padding=1, bias=True))
decoder = nn.Sequential(*modules)
net_init(decoder)
return decoder
def net_init(net):
for m in net.modules():
if isinstance(m, nn.Linear):
m.weight.data.normal_(0, 0.02)
if m.bias is not None:
m.bias.data.zero_()
if isinstance(m, nn.Conv2d): #or isinstance(m, nn.ConvTranspose2d):
m.weight.data.normal_(0, 0.02)
if m.bias is not None:
m.bias.data.zero_()
if isinstance(m, nn.ConvTranspose2d):
# Initialize Deconv with bilinear weights.
base_weights = bilinear_init(m.weight.data.size(-1))
base_weights = base_weights.unsqueeze(0).unsqueeze(0)
m.weight.data = base_weights.repeat(m.weight.data.size(0), m.weight.data.size(1), 1, 1)
if m.bias is not None:
m.bias.data.zero_()
if isinstance(m, nn.Conv3d) or isinstance(m, nn.ConvTranspose3d):
m.weight.data.normal_(0, 0.02)
if m.bias is not None:
m.bias.data.zero_()
elif isinstance(m, nn.BatchNorm2d) or isinstance(m, nn.BatchNorm3d):
m.weight.data.fill_(1)
m.bias.data.zero_()
def bilinear_init(kernel_size=4):
# Following Caffe's BilinearUpsamplingFiller
# https://github.com/BVLC/caffe/pull/2213/files
import numpy as np
width = kernel_size
height = kernel_size
f = int(np.ceil(width / 2.))
cc = (2 * f - 1 - f % 2) / (2.*f)
weights = torch.zeros((height, width))
for y in range(height):
for x in range(width):
weights[y, x] = (1 - np.abs(x / f - cc)) * (1 - np.abs(y / f - cc))
return weights
if __name__ == '__main__':
decoder2d(5, None, 256, use_deconv=True, init_fc=False)
bilinear_init()
================================================
FILE: nnutils/nmr.py
================================================
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import numpy as np
import scipy.misc
import tqdm
import chainer
import torch
import neural_renderer
from ..nnutils import geom_utils
#############
### Utils ###
#############
def convert_as(src, trg):
src = src.type_as(trg)
if src.is_cuda:
src = src.cuda(device=trg.get_device())
return src
########################################################################
############ Wrapper class for the chainer Neural Renderer #############
##### All functions must only use numpy arrays as inputs/outputs #######
########################################################################
class NMR(object):
def __init__(self):
# setup renderer
renderer = neural_renderer.Renderer()
self.renderer = renderer
def to_gpu(self, device=0):
# self.renderer.to_gpu(device)
self.cuda_device = device
def forward_mask(self, vertices, faces):
''' Renders masks.
Args:
vertices: B X N X 3 numpy array
faces: B X F X 3 numpy array
Returns:
masks: B X 256 X 256 numpy array
'''
self.faces = chainer.Variable(chainer.cuda.to_gpu(faces, self.cuda_device))
self.vertices = chainer.Variable(chainer.cuda.to_gpu(vertices, self.cuda_device))
self.masks = self.renderer.render_silhouettes(self.vertices, self.faces)
masks = self.masks.data.get()
return masks
def backward_mask(self, grad_masks):
''' Compute gradient of vertices given mask gradients.
Args:
grad_masks: B X 256 X 256 numpy array
Returns:
grad_vertices: B X N X 3 numpy array
'''
self.masks.grad = chainer.cuda.to_gpu(grad_masks, self.cuda_device)
self.masks.backward()
return self.vertices.grad.get()
def forward_img(self, vertices, faces, textures):
''' Renders masks.
Args:
vertices: B X N X 3 numpy array
faces: B X F X 3 numpy array
textures: B X F X T X T X T X 3 numpy array
Returns:
images: B X 3 x 256 X 256 numpy array
'''
self.faces = chainer.Variable(chainer.cuda.to_gpu(faces, self.cuda_device))
self.vertices = chainer.Variable(chainer.cuda.to_gpu(vertices, self.cuda_device))
self.textures = chainer.Variable(chainer.cuda.to_gpu(textures, self.cuda_device))
self.images = self.renderer.render(self.vertices, self.faces, self.textures)
images = self.images.data.get()
return images
def backward_img(self, grad_images):
''' Compute gradient of vertices given image gradients.
Args:
grad_images: B X 3? X 256 X 256 numpy array
Returns:
grad_vertices: B X N X 3 numpy array
grad_textures: B X F X T X T X T X 3 numpy array
'''
self.images.grad = chainer.cuda.to_gpu(grad_images, self.cuda_device)
self.images.backward()
return self.vertices.grad.get(), self.textures.grad.get()
########################################################################
################# Wrapper class a rendering PythonOp ###################
##### All functions must only use torch Tensors as inputs/outputs ######
########################################################################
class Render(torch.autograd.Function):
# TODO(Shubham): Make sure the outputs/gradients are on the GPU
def __init__(self, renderer):
super(Render, self).__init__()
self.renderer = renderer
def forward(self, vertices, faces, textures=None):
# B x N x 3
# Flipping the y-axis here to make it align with the image coordinate system!
vs = vertices.cpu().numpy()
vs[:, :, 1] *= -1
fs = faces.cpu().numpy()
if textures is None:
self.mask_only = True
masks = self.renderer.forward_mask(vs, fs)
return convert_as(torch.Tensor(masks), vertices)
else:
self.mask_only = False
ts = textures.cpu().numpy()
imgs = self.renderer.forward_img(vs, fs, ts)
return convert_as(torch.Tensor(imgs), vertices)
def backward(self, grad_out):
g_o = grad_out.cpu().numpy()
if self.mask_only:
grad_verts = self.renderer.backward_mask(g_o)
grad_verts = convert_as(torch.Tensor(grad_verts), grad_out)
grad_tex = None
else:
grad_verts, grad_tex = self.renderer.backward_img(g_o)
grad_verts = convert_as(torch.Tensor(grad_verts), grad_out)
grad_tex = convert_as(torch.Tensor(grad_tex), grad_out)
grad_verts[:, :, 1] *= -1
return grad_verts, None, grad_tex
########################################################################
############## Wrapper torch module for Neural Renderer ################
########################################################################
class NeuralRenderer(torch.nn.Module):
"""
This is the core pytorch function to call.
Every torch NMR has a chainer NMR.
Only fwd/bwd once per iteration.
"""
def __init__(self, img_size=256, proj_type='perspective', norm_f=1., norm_z=0.,norm_f0=0.):
super(NeuralRenderer, self).__init__()
self.renderer = NMR()
self.norm_f = norm_f
self.norm_f0 = norm_f0
self.norm_z = norm_z
# Adjust the core renderer
self.renderer.renderer.image_size = img_size
self.renderer.renderer.perspective = False
# Set a default camera to be at (0, 0, -2.732)
self.renderer.renderer.eye = [0, 0, -1.0]
# Make it a bit brighter for vis
self.renderer.renderer.light_intensity_ambient = 0.8
self.renderer.to_gpu()
# Silvia
if proj_type == 'perspective':
self.proj_fn = geom_utils.perspective_proj_withz
else:
print('unknown projection type')
import pdb; pdb.set_trace()
self.offset_z = -1.0
def ambient_light_only(self):
# Make light only ambient.
self.renderer.renderer.light_intensity_ambient = 1
self.renderer.renderer.light_intensity_directional = 0
def directional_light_only(self):
# Make light only directional.
self.renderer.renderer.light_intensity_ambient = 0.8
self.renderer.renderer.light_intensity_directional = 0.8
self.renderer.renderer.light_direction = [0, 1, 0] # up-to-down, this is the default
def set_bgcolor(self, color):
self.renderer.renderer.background_color = color
def project_points(self, verts, cams):
proj = self.proj_fn(verts, cams, offset_z=self.offset_z, norm_f=self.norm_f, norm_z=self.norm_z, norm_f0=self.norm_f0)
return proj[:, :, :2]
def forward(self, vertices, faces, cams, textures=None):
verts = self.proj_fn(vertices, cams, offset_z=self.offset_z, norm_f=self.norm_f, norm_z=self.norm_z, norm_f0=self.norm_f0)
if textures is not None:
return Render(self.renderer)(verts, faces, textures)
else:
return Render(self.renderer)(verts, faces)
================================================
FILE: nnutils/perceptual_loss.py
================================================
"""
Calls Richard's Perceptual Loss.
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import torch
from torch.autograd import Variable
from ..external.PerceptualSimilarity.models import dist_model
class PerceptualLoss(object):
def __init__(self, model='net', net='alex', use_gpu=True):
print('Setting up Perceptual loss..')
self.model = dist_model.DistModel()
self.model.initialize(model=model, net=net, use_gpu=True)
print('Done')
def __call__(self, pred, target, normalize=True):
"""
Pred and target are Variables.
If normalize is on, scales images between [-1, 1]
Assumes the inputs are in range [0, 1].
"""
if normalize:
target = 2 * target - 1
pred = 2 * pred - 1
dist = self.model.forward_pair(target, pred)
return dist
================================================
FILE: nnutils/smal_mesh_eval.py
================================================
"""
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
from absl import flags, app
import numpy as np
import skimage.io as io
import pickle as pkl
import torch
import scipy
import scipy.misc
from ..nnutils import smal_predictor as pred_util
from ..utils import image as img_util
from glob import glob
import scipy.io as sio
import torchvision
from torch.autograd import Variable
opts = flags.FLAGS
def preprocess_image(img_path, img_size=256, kp=None, border=20):
img = io.imread(img_path) / 255.
img = img[:,:,:3]
# Scale the max image size to be img_size
scale_factor = float(img_size-2*border) / np.max(img.shape[:2])
img, _ = img_util.resize_img(img, scale_factor)
# Crop img_size x img_size from the center
center = np.round(np.array(img.shape[:2]) / 2).astype(int)
# img center in (x, y)
center = center[::-1]
bbox = np.hstack([center - img_size / 2., center + img_size / 2.])
img = img_util.crop(img, bbox, bgval=None)
img, _ = img_util.resize_img(img, 256/257.)
# Transpose the image to 3xHxW
img = np.transpose(img, (2, 0, 1))
if kp is not None:
kp = kp*scale_factor
kp[:,0] -= bbox[0]
kp[:,1] -= bbox[1]
return img, kp
def smal_mesh_eval(num_train_epoch):
#predictor.eval()
opts.num_train_epoch = num_train_epoch
img_path = 'smalst/validation_set/'
images = sorted(glob(img_path+'*.jpg'))
N = len(images)
batch_size = opts.batch_size
opts.batch_size=1
predictor = pred_util.MeshPredictor(opts)
tot_pose_err = 0
err_tot = np.zeros((N))
for idx, img_path in enumerate(images):
anno_path = img_path.replace('.jpg', '_ferrari-tail-face.mat')
res = sio.loadmat(anno_path, squeeze_me=True, struct_as_record=False)
res = res['annotation']
kp = res.kp.astype(float)
invisible = res.invisible
vis = np.atleast_2d(~invisible.astype(bool)).T
landmarks = np.hstack((kp, vis))
names = [str(res.names[i]) for i in range(len(res.names))]
img, kp = preprocess_image(img_path, img_size=opts.img_size, kp=kp)
batch = {'img': torch.Tensor(np.expand_dims(img, 0))}
outputs = predictor.predict(batch)
kp_pred = ((outputs['kp_pred'].cpu().detach().numpy()[0,:,:]+1.)*128).astype(int)
kp_err = np.sum(np.abs(kp - kp_pred)*vis)/np.sum(vis)
tot_pose_err += kp_err
err_tot[idx] = kp_err
opts.batch_size=batch_size
return tot_pose_err/N
def set_input(self, batch):
resnet_transform = torchvision.transforms.Normalize(
mean=[0.485, 0.456, 0.406], std=[0.229, 0.224, 0.225])
opts = self.opts
img_tensor = batch['img'].clone().type(torch.FloatTensor)
input_img_tensor = batch['img'].type(torch.FloatTensor)
for b in range(input_img_tensor.size(0)):
input_img_tensor[b] = resnet_transform(input_img_tensor[b])
self.input_imgs = Variable(
input_img_tensor.cuda(device=opts.gpu_id), requires_grad=False)
self.imgs = Variable(
img_tensor.cuda(device=opts.gpu_id), requires_grad=False)
def collect_outputs(self):
outputs = {
'pose_pred': self.pose.data,
'kp_pred': self.kp_pred.data,
'verts': self.pred_v.data,
'kp_verts': self.kp_verts.data,
'cam_pred': self.cam_pred.data,
'mask_pred': self.mask_pred.data,
'faces': self.faces,
'delta_v_pred': self.delta_v.data,
'trans_pred':self.trans.data,
'kp_2D_pred':self.kp_2D_pred,
'f':self.faces,
'v':self.smal_verts
}
if self.opts.use_smal_betas:
outputs['betas_pred'] = self.betas.data
if self.opts.texture:
outputs['texture'] = self.textures
outputs['texture_pred'] = self.texture_pred.data
outputs['uv_image'] = self.uv_images.data
outputs['uv_flow'] = self.uv_flows.data
if self.opts.predict_ambient_occlusion:
outputs['occ_pred'] = self.occ_map
return outputs
================================================
FILE: nnutils/smal_mesh_net.py
================================================
"""
Mesh net model.
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
from absl import app
from absl import flags
import os
import os.path as osp
import numpy as np
import pickle as pkl
import torch
import torchvision
import torch.nn as nn
from torch.autograd import Variable
from ..smal_model.smal_basics import load_smal_model
from ..smal_model.smal_torch import SMAL
from ..utils import mesh
from ..utils import geometry as geom_utils
from . import net_blocks as nb
#-------------- flags -------------#
#----------------------------------#
flags.DEFINE_boolean('is_optimization', False, 'set to True to do refinement')
flags.DEFINE_boolean('is_refinement', False, 'set to True to do refinement')
flags.DEFINE_string('model_dir', 'smalst/smpl_models/', 'location of the SMAL model')
flags.DEFINE_string('model_name', 'my_smpl_00781_4_all.pkl', 'name of the model')
flags.DEFINE_boolean('symmetric', False, 'Use symmetric mesh or not')
flags.DEFINE_boolean('symmetric_texture', False, 'if true texture is symmetric!')
flags.DEFINE_integer('nz_feat', 1024, 'Encoded feature size')
flags.DEFINE_boolean('use_norm_f_and_z', True, 'if to use normalized f and z')
flags.DEFINE_float('camera_ref', '2700.', 'expected focal length value')
flags.DEFINE_float('trans_ref', '19.', 'expected model distance from camera (13 for linear)')
flags.DEFINE_float('norm_f', 2700., 'term in f=norm_f0+norm_f*x_f')
flags.DEFINE_float('norm_f0', 2700., 'term in f=norm_f0+norm_f*x_f')
flags.DEFINE_float('norm_z', 20., 'normalization term for depth')
flags.DEFINE_boolean('use_sym_idx', True, 'If to predict only half delta_v')
flags.DEFINE_bool('use_double_input', False, 'input the img and the fg')
flags.DEFINE_boolean('use_camera', True, 'if optimize camera focal length')
flags.DEFINE_boolean('use_delta_v', True, 'if predict vertex displacements')
flags.DEFINE_boolean('texture', True, 'if true uses texture!')
flags.DEFINE_boolean('texture_map', True, 'if true uses texture map loss!')
flags.DEFINE_boolean('use_directional_light', True, 'if using directional light rather than ambient')
flags.DEFINE_integer('num_betas', 20, 'Number of betas variables')
flags.DEFINE_boolean('use_smal_pose', True, 'if using articulated shape')
flags.DEFINE_boolean('use_smal_betas', False, 'if using smal shape space')
flags.DEFINE_integer('scale_bias', 1, '1 or 0 for bias in nn.Linear') # Does not work for 0
flags.DEFINE_boolean('fix_trans', False, 'do not optimize trans')
flags.DEFINE_integer('tex_size', 6, 'Texture resolution per face')
flags.DEFINE_integer('texture_img_size', 256, 'Texture resolution per face')
flags.DEFINE_integer('number_of_textures', 4, 'Number of texture layers that compose the texture map')
flags.DEFINE_float('occlusion_map_scale', 1./16., 'division of the image')
flags.DEFINE_integer('bottleneck_size', 2048, 'Define bottleneck size')
flags.DEFINE_integer('channels_per_group', 16, 'number of channels per group in group normalization')
flags.DEFINE_integer('subdivide', 3, '# to subdivide icosahedron, 3=642verts, 4=2562 verts')
flags.DEFINE_boolean('use_deconv', False, 'If true uses Deconv')
flags.DEFINE_string('upconv_mode', 'bilinear', 'upsample mode')
flags.DEFINE_boolean('only_mean_sym', True, 'If true, only the meanshape is symmetric')
flags.DEFINE_boolean('use_resnet50', True, 'otherwise use resnet18')
flags.DEFINE_string('uv_data_file', 'my_smpl_00781_4_all_template_w_tex_uv_001.pkl', 'ft and vt data of the obj file')
flags.DEFINE_string('projection_type', 'perspective', 'camera projection type (orth or perspective')
flags.DEFINE_integer('n_shape_feat', 40, 'number of shape features when we do not use the betas')
flags.DEFINE_float('depth_var', 2.0, 'see TransPred')
flags.DEFINE_float('x_var', 2.0, 'see TransPred')
flags.DEFINE_float('y_var', 1.0, 'see TransPred')
flags.DEFINE_float('pose_var', 1.0, 'see PosePred')
#------------- Modules ------------#
#----------------------------------#
class ResNetConv(nn.Module):
def __init__(self, n_blocks=4, opts=None):
super(ResNetConv, self).__init__()
if opts.use_resnet50:
self.resnet = torchvision.models.resnet50(pretrained=True)
else:
self.resnet = torchvision.models.resnet18(pretrained=True)
self.n_blocks = n_blocks
self.opts = opts
if self.opts.use_double_input:
self.fc = nb.fc_stack(512*16*8, 512*8*8, 2)
def forward(self, x, y=None):
if self.opts.use_double_input and y is not None:
x = torch.cat([x, y], 2)
n_blocks = self.n_blocks
x = self.resnet.conv1(x)
x = self.resnet.bn1(x)
x = self.resnet.relu(x)
x = self.resnet.maxpool(x)
if n_blocks >= 1:
x = self.resnet.layer1(x)
if n_blocks >= 2:
x = self.resnet.layer2(x)
if n_blocks >= 3:
x = self.resnet.layer3(x)
if n_blocks >= 4:
x = self.resnet.layer4(x)
if self.opts.use_double_input and y is not None:
x = x.view(x.size(0), -1)
x = self.fc.forward(x)
x = x.view(x.size(0), 512, 8, 8)
return x
class Encoder(nn.Module):
"""
Current:
Resnet with 4 blocks (x32 spatial dim reduction)
Another conv with stride 2 (x64)
This is sent to 2 fc layers with final output nz_feat.
"""
def __init__(self, opts, input_shape, n_blocks=4, nz_feat=100, bott_size=256):
super(Encoder, self).__init__()
self.opts = opts
self.resnet_conv = ResNetConv(n_blocks=4, opts=opts)
num_norm_groups = bott_size//opts.channels_per_group
if opts.use_resnet50:
self.enc_conv1 = nb.conv2d('group', 2048, bott_size, stride=2, kernel_size=4, num_groups=num_norm_groups)
else:
self.enc_conv1 = nb.conv2d('group', 512, bott_size, stride=2, kernel_size=4, num_groups=num_norm_groups)
nc_input = bott_size * (input_shape[0] // 64) * (input_shape[1] // 64)
self.enc_fc = nb.fc_stack(nc_input, nz_feat, 2, 'batch')
self.nenc_feat = nc_input
nb.net_init(self.enc_conv1)
def forward(self, img, fg_img):
resnet_feat = self.resnet_conv.forward(img, fg_img)
out_enc_conv1 = self.enc_conv1(resnet_feat)
out_enc_conv1 = out_enc_conv1.view(img.size(0), -1)
feat = self.enc_fc.forward(out_enc_conv1)
return feat, out_enc_conv1
class TexturePredictorUV(nn.Module):
"""
Outputs mesh texture
"""
def __init__(self, nz_feat, uv_sampler, opts, img_H=64, img_W=128, n_upconv=5, nc_init=256, predict_flow=False, symmetric=False, num_sym_faces=624, tex_masks=None,vt=None, ft=None):
super(TexturePredictorUV, self).__init__()
self.opts = opts
self.feat_H = img_H // (2 ** n_upconv)
self.feat_W = img_W // (2 ** n_upconv)
self.nc_init = nc_init
self.symmetric = symmetric
self.num_sym_faces = num_sym_faces
self.F = uv_sampler.size(1)
self.T = uv_sampler.size(2)
self.predict_flow = predict_flow
self.tex_masks = tex_masks
# Convert texture masks into the nmr format
# B x F x T x T x 2 --> B x F x T*T x 2
self.uv_sampler = uv_sampler.view(-1, self.F, self.T*self.T, 2)
if opts.number_of_textures > 0:
self.enc = nn.ModuleList([nb.fc_stack(nz_feat, self.nc_init*self.feat_H[i]*self.feat_W[i], 2, 'batch') for i in range(opts.number_of_textures)])
else:
self.enc = nb.fc_stack(nz_feat, self.nc_init*self.feat_H*self.feat_W, 2, 'batch')
if predict_flow:
nc_final=2
else:
nc_final=3
if opts.number_of_textures > 0:
num_groups = nc_init//opts.channels_per_group
self.decoder = nn.ModuleList([nb.decoder2d(n_upconv, None, nc_init,
norm_type='group', num_groups=num_groups, init_fc=False, nc_final=nc_final,
use_deconv=opts.use_deconv, upconv_mode=opts.upconv_mode) for _ in range(opts.number_of_textures)])
self.uvimage_pred_layer = [None]*opts.number_of_textures
else:
num_groups = nc_init//opts.channels_per_group
self.decoder = nb.decoder2d(n_upconv, None, nc_init, norm_type='group',
num_groups=num_groups, init_fc=False, nc_final=nc_final,
use_deconv=opts.use_deconv, upconv_mode=opts.upconv_mode)
def forward(self, feat):
if self.opts.number_of_textures > 0:
tex_pred_layer = [None]*self.opts.number_of_textures
uvimage_pred_layer = [None]*self.opts.number_of_textures
for i in range(self.opts.number_of_textures):
uvimage_pred_layer[i] = self.enc[i].forward(feat)
uvimage_pred_layer[i] = uvimage_pred_layer[i].view(uvimage_pred_layer[i].size(0), self.nc_init, self.feat_H[i], self.feat_W[i])
# B x 2 or 3 x H x W
self.uvimage_pred_layer[i] = self.decoder[i].forward(uvimage_pred_layer[i])
self.uvimage_pred_layer[i] = torch.nn.functional.tanh(self.uvimage_pred_layer[i])
# Compose the predicted texture maps
# Composition by tiling
if self.opts.number_of_textures == 7:
upper = torch.cat((uvimage_pred_layer[0], uvimage_pred_layer[1], uvimage_pred_layer[2]), 3)
lower = torch.cat((uvimage_pred_layer[4], uvimage_pred_layer[5]), 3)
right = torch.cat((uvimage_pred_layer[3], uvimage_pred_layer[6]), 2)
uvimage_pred = torch.cat((torch.cat((upper, lower), 2), right), 3)
upper = torch.cat((self.uvimage_pred_layer[0], self.uvimage_pred_layer[1], self.uvimage_pred_layer[2]), 3)
lower = torch.cat((self.uvimage_pred_layer[4], self.uvimage_pred_layer[5]), 3)
right = torch.cat((self.uvimage_pred_layer[3], self.uvimage_pred_layer[6]), 2)
self.uvimage_pred = torch.cat((torch.cat((upper, lower), 2), right), 3)
elif self.opts.number_of_textures == 4:
uvimage_pred = torch.cat((torch.cat((uvimage_pred_layer[0],
torch.cat((uvimage_pred_layer[1], uvimage_pred_layer[2]), 3)), 2), uvimage_pred_layer[3]), 3)
self.uvimage_pred = torch.cat((torch.cat((self.uvimage_pred_layer[0],
torch.cat((self.uvimage_pred_layer[1], self.uvimage_pred_layer[2]), 3)), 2), self.uvimage_pred_layer[3]), 3)
else:
uvimage_pred = self.enc.forward(feat)
uvimage_pred = uvimage_pred.view(uvimage_pred.size(0), self.nc_init, self.feat_H, self.feat_W)
# B x 2 or 3 x H x W
self.uvimage_pred = self.decoder.forward(uvimage_pred)
self.uvimage_pred = torch.nn.functional.tanh(self.uvimage_pred)
tex_pred = torch.nn.functional.grid_sample(self.uvimage_pred, self.uv_sampler)
tex_pred = tex_pred.view(self.uvimage_pred.size(0), -1, self.F, self.T, self.T).permute(0, 2, 3, 4, 1)
if self.symmetric:
# Symmetrize.
tex_left = tex_pred[:, -self.num_sym_faces:]
return torch.cat([tex_pred, tex_left], 1)
else:
# Contiguous Needed after the permute..
return tex_pred.contiguous()
class ShapePredictor(nn.Module):
"""
Outputs mesh deformations
"""
def __init__(self, nz_feat, num_verts, opts, left_idx, right_idx, shapedirs):
super(ShapePredictor, self).__init__()
self.opts = opts
if opts.use_delta_v:
if opts.use_sym_idx:
self.left_idx = left_idx
self.right_idx = right_idx
self.num_verts = num_verts
B = shapedirs.reshape([shapedirs.shape[0], num_verts, 3])[:,left_idx]
B = B.reshape([B.shape[0], -1])
self.pred_layer = nn.Linear(nz_feat, len(left_idx) * 3)
else:
B = shapedirs
self.pred_layer = nn.Linear(nz_feat, num_verts * 3)
if opts.use_smal_betas:
# Initialize pred_layer weights to be small so initial def aren't so big
self.pred_layer.weight.data.normal_(0, 0.0001)
else:
self.fc = nb.fc('batch', nz_feat, opts.n_shape_feat)
n_feat = opts.n_shape_feat
B = B.permute(1,0)
A = torch.Tensor(np.zeros((B.size(0), n_feat)))
n = np.min((B.size(1), n_feat))
A[:,:n] = B[:,:n]
self.pred_layer.weight.data = torch.nn.Parameter(A)
self.pred_layer.bias.data.fill_(0.)
else:
self.ref_delta_v = torch.Tensor(np.zeros((opts.batch_size,num_verts,3))).cuda(device=opts.gpu_id)
def forward(self, feat):
if self.opts.use_sym_idx:
delta_v = torch.Tensor(np.zeros((self.opts.batch_size,self.num_verts,3))).cuda(device=self.opts.gpu_id)
feat = self.fc(feat)
self.shape_f = feat
half_delta_v = self.pred_layer.forward(feat)
half_delta_v = half_delta_v.view(half_delta_v.size(0), -1, 3)
delta_v[:,self.left_idx,:] = half_delta_v
half_delta_v[:,:,1] = -1.*half_delta_v[:,:,1]
delta_v[:,self.right_idx,:] = half_delta_v
else:
delta_v = self.pred_layer.forward(feat)
# Make it B x num_verts x 3
delta_v = delta_v.view(delta_v.size(0), -1, 3)
# print('shape: ( Mean = {}, Var = {} )'.format(delta_v.mean().data[0], delta_v.var().data[0]))
return delta_v
class PosePredictor(nn.Module):
"""
"""
def __init__(self, opts, nz_feat, num_joints=35):
super(PosePredictor, self).__init__()
self.opts = opts
self.num_joints = num_joints
self.pred_layer = nn.Linear(nz_feat, num_joints*3)
def forward(self, feat):
pose = self.opts.pose_var*self.pred_layer.forward(feat)
# Add this to have zero to correspond to frontal facing
pose[:,0] += 1.20919958
pose[:,1] += 1.20919958
pose[:,2] += -1.20919958
return pose
class BetasPredictor(nn.Module):
def __init__(self, opts, nz_feat, nenc_feat, num_betas=10):
super(BetasPredictor, self).__init__()
self.opts = opts
self.pred_layer = nn.Linear(nenc_feat, num_betas)
def forward(self, feat, enc_feat):
betas = self.pred_layer.forward(enc_feat)
return betas
class Keypoints2DPredictor(nn.Module):
def __init__(self, opts, nz_feat, nenc_feat, num_keypoints=28):
super(Keypoints2DPredictor, self).__init__()
self.opts = opts
self.num_keypoints = num_keypoints
self.pred_layer = nn.Linear(nz_feat, 2*num_keypoints)
def forward(self, feat, enc_feat):
keypoints2D = self.pred_layer.forward(feat)
return keypoints2D.view(-1,self.num_keypoints,2)
class ScalePredictor(nn.Module):
'''
In case of perspective projection scale is focal length
'''
def __init__(self, nz, opts):
super(ScalePredictor, self).__init__()
self.opts = opts
if opts.use_camera:
self.opts = opts
self.pred_layer = nn.Linear(nz, opts.scale_bias)
else:
scale = np.zeros((opts.batch_size,1))
scale[:,0] = 0.
self.ref_camera = torch.Tensor(scale).cuda(device=opts.gpu_id)
def forward(self, feat):
if not self.opts.use_camera:
return self.ref_camera
if self.opts.norm_f0 != 0:
off = 0.
else:
off = 1.
scale = self.pred_layer.forward(feat) + off
return scale
class TransPredictor(nn.Module):
"""
Outputs [tx, ty] or [tx, ty, tz]
"""
def __init__(self, nz, projection_type, opts):
super(TransPredictor, self).__init__()
self.opts = opts
if projection_type =='orth':
self.pred_layer = nn.Linear(nz, 2)
elif projection_type == 'perspective':
self.pred_layer_xy = nn.Linear(nz, 2)
self.pred_layer_z = nn.Linear(nz, 1)
self.pred_layer_xy.weight.data.normal_(0, 0.0001)
self.pred_layer_xy.bias.data.normal_(0, 0.0001)
self.pred_layer_z.weight.data.normal_(0, 0.0001)
self.pred_layer_z.bias.data.normal_(0, 0.0001)
else:
print('Unknown projection type')
def forward(self, feat):
trans = torch.Tensor(np.zeros((feat.shape[0],3))).cuda(device=self.opts.gpu_id)
f = torch.Tensor(np.zeros((feat.shape[0],1))).cuda(device=self.opts.gpu_id)
feat_xy = feat
feat_z = feat
trans[:,:2] = self.pred_layer_xy(feat_xy)
trans[:,0] += 1.0
trans[:,2] = 1.0+self.pred_layer_z(feat_z)[:,0]
if self.opts.fix_trans:
trans[:,2] = 1.
# print('trans: ( Mean = {}, Var = {} )'.format(trans.mean().data[0], trans.var().data[0]))
return trans
class CodePredictor(nn.Module):
def __init__(self, nz_feat=100, nenc_feat=2048, num_verts=1000, opts=None, left_idx=None, right_idx=None, shapedirs=None):
super(CodePredictor, self).__init__()
self.opts = opts
self.shape_predictor = ShapePredictor(nz_feat, num_verts=num_verts, opts=self.opts, left_idx=left_idx, right_idx=right_idx, shapedirs=shapedirs)
self.scale_predictor = ScalePredictor(nz_feat, self.opts)
self.trans_predictor = TransPredictor(nz_feat, self.opts.projection_type, self.opts)
if opts.use_smal_pose:
self.pose_predictor = PosePredictor(self.opts, nz_feat)
if opts.use_smal_betas:
self.betas_predictor = BetasPredictor(self.opts, nz_feat, nenc_feat, self.opts.num_betas)
def forward(self, feat, enc_feat):
if self.opts.use_delta_v:
shape_pred = self.shape_predictor.forward(feat)
else:
shape_pred = self.shape_predictor.ref_delta_v
if self.opts.use_camera:
scale_pred = self.scale_predictor.forward(feat)
else:
scale_pred = self.scale_predictor.ref_camera
trans_pred = self.trans_predictor.forward(feat)
if self.opts.use_smal_pose:
pose_pred = self.pose_predictor.forward(feat)
else:
pose_pred = None
if self.opts.use_smal_betas:
betas_pred = self.betas_predictor.forward(feat, enc_feat)
else:
betas_pred = None
keypoints2D_pred = None
return shape_pred, scale_pred, trans_pred, pose_pred, betas_pred, keypoints2D_pred
#------------ Mesh Net ------------#
#----------------------------------#
class MeshNet(nn.Module):
def __init__(self, input_shape, opts, nz_feat=100, num_kps=28, sfm_mean_shape=None, tex_masks=None):
# Input shape is H x W of the image.
super(MeshNet, self).__init__()
self.opts = opts
self.pred_texture = opts.texture
self.symmetric = opts.symmetric
self.symmetric_texture = opts.symmetric_texture
self.tex_masks = tex_masks
self.op_features = None
# Instantiate the SMAL model in Torch
model_path = os.path.join(self.opts.model_dir, self.opts.model_name)
self.smal = SMAL(pkl_path=model_path, opts=self.opts)
self.left_idx = np.hstack((self.smal.left_inds, self.smal.center_inds))
self.right_idx = np.hstack((self.smal.right_inds, self.smal.center_inds))
pose = np.zeros((1,105))
betas = np.zeros((1,self.opts.num_betas))
V,J,R = self.smal(torch.Tensor(betas).cuda(device=self.opts.gpu_id), torch.Tensor(pose).cuda(device=self.opts.gpu_id))
verts = V[0,:,:]
verts = verts.data.cpu().numpy()
faces = self.smal.f
num_verts = verts.shape[0]
if self.symmetric:
verts, faces, num_indept, num_sym, num_indept_faces, num_sym_faces = mesh.make_symmetric(verts, faces, self.smal.left_inds, self.smal.right_inds, self.smal.center_inds)
if sfm_mean_shape is not None:
verts = geom_utils.project_verts_on_mesh(verts, sfm_mean_shape[0], sfm_mean_shape[1])
num_sym_output = num_indept + num_sym
if opts.only_mean_sym:
print('Only the mean shape is symmetric!')
self.num_output = num_verts
else:
self.num_output = num_sym_output
self.num_sym = num_sym
self.num_indept = num_indept
self.num_indept_faces = num_indept_faces
self.num_sym_faces = num_sym_faces
# mean shape is only half.
self.mean_v = nn.Parameter(torch.Tensor(verts[:num_sym_output]))
# Needed for symmetrizing..
self.flip = Variable(torch.ones(1, 3).cuda(device=self.opts.gpu_id), requires_grad=False)
self.flip[0, 0] = -1
else:
if sfm_mean_shape is not None:
verts = geom_utils.project_verts_on_mesh(verts, sfm_mean_shape[0], sfm_mean_shape[1])
self.mean_v = nn.Parameter(torch.Tensor(verts))
self.num_output = num_verts
faces = faces.astype(np.int32)
verts_np = verts
faces_np = faces
self.faces = Variable(torch.LongTensor(faces).cuda(device=self.opts.gpu_id), requires_grad=False)
self.edges2verts = mesh.compute_edges2verts(verts, faces)
vert2kp_init = torch.Tensor(np.ones((num_kps, num_verts)) / float(num_verts))
# Remember initial vert2kp (after softmax)
self.vert2kp_init = torch.nn.functional.softmax(Variable(vert2kp_init.cuda(device=self.opts.gpu_id), requires_grad=False), dim=1)
self.vert2kp = nn.Parameter(vert2kp_init)
self.encoder = Encoder(self.opts, input_shape, n_blocks=4, nz_feat=nz_feat, bott_size=opts.bottleneck_size)
nenc_feat = self.encoder.nenc_feat
self.code_predictor = CodePredictor(nz_feat=nz_feat, nenc_feat=nenc_feat,
num_verts=self.num_output, opts=opts, left_idx=self.left_idx, right_idx=self.right_idx, shapedirs=self.smal.shapedirs)
if self.pred_texture:
if self.symmetric_texture:
num_faces = self.num_indept_faces + self.num_sym_faces
else:
num_faces = faces.shape[0]
self.num_sym_faces = 0
# Instead of loading an obj file
uv_data = pkl.load(open(os.path.join(self.opts.model_dir,opts.uv_data_file)))
vt = uv_data['vt']
ft = uv_data['ft']
self.vt = vt
self.ft = ft
uv_sampler = mesh.compute_uvsampler(verts_np, faces_np[:num_faces], vt, ft, tex_size=opts.tex_size)
# F' x T x T x 2
uv_sampler = Variable(torch.FloatTensor(uv_sampler).cuda(device=self.opts.gpu_id), requires_grad=False)
# B x F' x T x T x 2
uv_sampler = uv_sampler.unsqueeze(0).repeat(self.opts.batch_size, 1, 1, 1, 1)
if opts.number_of_textures > 0:
if opts.texture_img_size == 256:
if opts.number_of_textures == 7:
img_H = np.array([96, 96, 96, 96, 160, 160, 160])
img_W = np.array([64, 128, 32, 32, 128, 96, 32])
elif opts.number_of_textures == 4:
img_H = np.array([96, 160, 160, 256])
img_W = np.array([224, 128, 96, 32])
else:
print('ERROR texture')
import pdb; pdb.set_trace()
else:
img_H = opts.texture_img_size
img_W = opts.texture_img_size
self.texture_predictor = TexturePredictorUV(
nz_feat, uv_sampler, opts, img_H=img_H, img_W=img_W, predict_flow=True, symmetric=opts.symmetric_texture,
num_sym_faces=self.num_sym_faces, tex_masks=self.tex_masks, vt=vt, ft=ft)
nb.net_init(self.texture_predictor)
def forward(self, img, masks=None):
opts = self.opts
if self.opts.is_optimization:
if self.opts.is_var_opt:
img_feat, enc_feat = self.encoder.forward(img, masks)
if self.op_features is None:
codes_pred = self.code_predictor.forward(img_feat, enc_feat)
self.opts_scale = Variable(codes_pred[1].cuda(device=opts.gpu_id), requires_grad=True)
self.opts_pose = Variable(codes_pred[3].cuda(device=opts.gpu_id), requires_grad=True)
self.opts_trans = Variable(codes_pred[2].cuda(device=opts.gpu_id), requires_grad=True)
self.opts_delta_v= Variable(codes_pred[0].cuda(device=opts.gpu_id), requires_grad=True)
self.op_features = [self.opts_scale, self.opts_pose, self.opts_trans]
codes_pred = (self.opts_delta_v, self.opts_scale, self.opts_trans, self.opts_pose, None, None)
else:
# Optimization over the features
if self.op_features is None:
img_feat, enc_feat = self.encoder.forward(img, masks)
self.op_features = Variable(img_feat.cuda(device=self.opts.gpu_id), requires_grad=True)
codes_pred = self.code_predictor.forward(self.op_features, None)
img_feat = self.op_features
else:
img_feat, enc_feat = self.encoder.forward(img, masks)
codes_pred = self.code_predictor.forward(img_feat, enc_feat)
if self.pred_texture:
texture_pred = self.texture_predictor.forward(img_feat)
return codes_pred, texture_pred
else:
return codes_pred
def symmetrize(self, V):
"""
Takes num_indept+num_sym verts and makes it
num_indept + num_sym + num_sym
Is identity if model is not symmetric
"""
if self.symmetric:
if V.dim() == 2:
# No batch
V_left = self.flip * V[-self.num_sym:]
return torch.cat([V, V_left], 0)
else:
# With batch
V_left = self.flip * V[:, -self.num_sym:]
return torch.cat([V, V_left], 1)
else:
return V
def get_smal_verts(self, pose=None, betas=None, trans=None, del_v=None):
if pose is None:
pose = torch.Tensor(np.zeros((1,105))).cuda(device=self.opts.gpu_id)
if betas is None:
betas = torch.Tensor(np.zeros((1,self.opts.num_betas))).cuda(device=self.opts.gpu_id)
if trans is None:
trans = torch.Tensor(np.zeros((1,3))).cuda(device=self.opts.gpu_id)
verts, _, _ = self.smal(betas, pose, trans, del_v)
return verts
def get_mean_shape(self):
return self.symmetrize(self.mean_v)
================================================
FILE: nnutils/smal_predictor.py
================================================
"""
Takes an image, returns stuff.
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
from absl import app
from absl import flags
import os
import os.path as osp
import numpy as np
import scipy.misc
import torch
import torchvision
from torch.autograd import Variable
import scipy.io as sio
from ..nnutils import smal_mesh_net as mesh_net
from ..nnutils import geom_utils
from ..nnutils.nmr import NeuralRenderer
from ..utils import smal_vis
import pickle as pkl
# These options are off by default, but used for some ablations reported.
flags.DEFINE_boolean('ignore_pred_delta_v', False, 'Use only mean shape for prediction')
class MeshPredictor(object):
def __init__(self, opts):
self.opts = opts
self.symmetric = opts.symmetric
img_size = (opts.img_size, opts.img_size)
# Load the texture map layers
tex_masks = [None]*opts.number_of_textures
self.vert2kp = torch.Tensor(pkl.load(open('smalst/zebra_data/verts2kp.pkl'))).cuda(device=opts.gpu_id)
print('Setting up model..')
self.model = mesh_net.MeshNet(img_size, opts, nz_feat=opts.nz_feat, tex_masks=tex_masks)
self.load_network(self.model, 'pred', self.opts.num_train_epoch)
# set the module in evaluation mode
self.model.eval()
self.model = self.model.cuda(device=self.opts.gpu_id)
self.renderer = NeuralRenderer(opts.img_size, opts.projection_type, opts.norm_f, opts.norm_z, opts.norm_f0)
if opts.texture:
self.tex_renderer = NeuralRenderer(opts.img_size, opts.projection_type, opts.norm_f, opts.norm_z, opts.norm_f0)
# Only use ambient light for tex renderer
self.tex_renderer.ambient_light_only()
self.mean_shape = self.model.get_mean_shape()
# For visualization
faces = self.model.faces.view(1, -1, 3)
self.faces = faces.repeat(opts.batch_size, 1, 1)
self.vis_rend = smal_vis.VisRenderer(opts.img_size,
faces.data.cpu().numpy(), opts.projection_type, opts.norm_f, opts.norm_z, opts.norm_f0)
self.vis_rend.set_bgcolor([1., 1., 1.])
self.resnet_transform = torchvision.transforms.Normalize(
mean=[0.485, 0.456, 0.406], std=[0.229, 0.224, 0.225])
def load_network(self, network, network_label, epoch_label):
save_filename = '{}_net_{}.pth'.format(network_label, epoch_label)
network_dir = os.path.join(self.opts.checkpoint_dir, self.opts.name)
save_path = os.path.join(network_dir, save_filename)
print('loading {}..'.format(save_path))
network.load_state_dict(torch.load(save_path))
return
def set_input(self, batch):
opts = self.opts
# original image where texture is sampled from.
img_tensor = batch['img'].clone().type(torch.FloatTensor)
# input_img is the input to resnet
input_img_tensor = batch['img'].type(torch.FloatTensor)
for b in range(input_img_tensor.size(0)):
input_img_tensor[b] = self.resnet_transform(input_img_tensor[b])
self.input_imgs = Variable(
input_img_tensor.cuda(device=opts.gpu_id), requires_grad=False)
self.imgs = Variable(
img_tensor.cuda(device=opts.gpu_id), requires_grad=False)
def predict(self, batch, cam_gt=None, trans_gt=None, pose_gt=None, betas_gt=None, rot=0):
"""
batch has B x C x H x W numpy
"""
self.set_input(batch)
self.forward(cam_gt, trans_gt, pose_gt, betas_gt, rot)
return self.collect_outputs()
def forward(self, cam_gt=None, trans_gt=None, pose_gt=None, betas_gt=None, rot=0):
if self.opts.texture:
pred_codes, self.textures = self.model.forward(self.input_imgs)
else:
pred_codes = self.model.forward(self.input_imgs)
self.delta_v, scale, self.trans, self.pose, self.betas, self.kp_2D_pred = pred_codes
# Rotate the view
if rot != 0:
import cv2
r0 = self.pose[:,:3].detach().cpu().numpy()
R0, _ = cv2.Rodrigues(r0)
ry = np.array([0, rot, 0])
Ry, _ = cv2.Rodrigues(ry)
Rt = np.matrix(Ry)*np.matrix(R0)
rt, _ = cv2.Rodrigues(Rt)
self.pose[:,:3] = torch.Tensor(rt).permute(1,0)
if cam_gt is not None:
print('Setting gt cam')
scale[:] = cam_gt
if trans_gt is not None:
print('Setting gt trans')
self.trans[0,:] = torch.Tensor(trans_gt)
if pose_gt is not None:
print('Setting gt pose')
self.pose[0,:] = torch.Tensor(pose_gt)
if betas_gt is not None:
print('Setting gt betas')
self.betas[0,:] = torch.Tensor(betas_gt[:10])
print('Removing delta_v')
self.delta_v[:] = 0
if True:
if self.opts.projection_type == 'perspective':
# The camera center does not change;
cam_center = torch.Tensor([self.input_imgs.shape[2]//2, self.input_imgs.shape[3]//2]).cuda(device=self.opts.gpu_id)
if scale.shape[0] == 1:
self.cam_pred = torch.cat([scale, cam_center[None,:]], 1)
else:
self.cam_pred = torch.cat([scale.permute(1,0), cam_center.repeat(scale.shape[0],1).permute(1,0)]).permute(1,0)
else:
import pdb; pdb.set_trace()
del_v = self.delta_v
# Deform mean shape:
if self.opts.ignore_pred_delta_v:
del_v[:] = 0
if self.opts.use_smal_pose:
self.smal_verts = self.model.get_smal_verts(self.pose, self.betas, self.trans, del_v)
self.pred_v = self.smal_verts
else:
# TODO
import pdb; pdb.set_trace()
self.kp_verts = torch.matmul(self.vert2kp, self.pred_v)
# Project keypoints
self.kp_pred = self.renderer.project_points(self.kp_verts,
self.cam_pred)
self.mask_pred = self.renderer.forward(self.pred_v, self.faces,
self.cam_pred)
# Render texture.
if self.opts.texture:
if self.textures.size(-1) == 2:
# Flow texture!
self.texture_flow = self.textures
self.textures = geom_utils.sample_textures(self.textures,
self.imgs)
if self.textures.dim() == 5: # B x F x T x T x 3
tex_size = self.textures.size(2)
self.textures = self.textures.unsqueeze(4).repeat(1, 1, 1, 1,
tex_size, 1)
# Render texture:
self.texture_pred = self.tex_renderer.forward(
self.pred_v, self.faces, self.cam_pred, textures=self.textures)
# B x 2 x H x W
uv_flows = self.model.texture_predictor.uvimage_pred
# B x H x W x 2
self.uv_flows = uv_flows.permute(0, 2, 3, 1)
self.uv_images = torch.nn.functional.grid_sample(self.imgs, self.uv_flows)
else:
self.textures = None
def collect_outputs(self):
outputs = {
'pose_pred': self.pose.data,
'kp_pred': self.kp_pred.data,
'verts': self.pred_v.data,
'kp_verts': self.kp_verts.data,
'cam_pred': self.cam_pred.data,
'mask_pred': self.mask_pred.data,
'delta_v_pred': self.delta_v.data,
'trans_pred':self.trans.data,
'kp_2D_pred':self.kp_2D_pred,
'shape_f': self.model.code_predictor.shape_predictor.shape_f.data,
'f':self.faces,
'v':self.smal_verts
}
if self.opts.use_smal_betas:
outputs['betas_pred'] = self.betas.data
if self.opts.texture:
outputs['texture'] = self.textures
outputs['texture_pred'] = self.texture_pred.data
outputs['uv_image'] = self.uv_images.data
outputs['uv_flow'] = self.uv_flows.data
return outputs
================================================
FILE: nnutils/train_utils.py
================================================
"""
Generic Training Utils.
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import torch
import os
import os.path as osp
import time
import pdb
from absl import flags
import pickle as pkl
import scipy.misc
import numpy as np
from ..nnutils import geom_utils
import time
from ..utils.visualizer import Visualizer
from .smal_mesh_eval import smal_mesh_eval
#-------------- flags -------------#
#----------------------------------#
## Flags for training
curr_path = osp.dirname(osp.abspath(__file__))
cache_path = osp.join(curr_path, '..', 'cachedir')
flags.DEFINE_string('name', 'exp_name', 'Experiment Name')
# flags.DEFINE_string('cache_dir', cache_path, 'Cachedir') # Not used!
flags.DEFINE_integer('gpu_id', 0, 'Which gpu to use')
flags.DEFINE_integer('num_epochs', 1000, 'Number of epochs to train')
flags.DEFINE_integer('num_pretrain_epochs', 0, 'If >0, we will pretain from an existing saved model.')
flags.DEFINE_float('learning_rate', 0.0001, 'learning rate')
flags.DEFINE_float('beta1', 0.9, 'Momentum term of adam')
flags.DEFINE_bool('use_sgd', False, 'if true uses sgd instead of adam, beta1 is used as mmomentu')
flags.DEFINE_integer('batch_size', 8, 'Size of minibatches')
flags.DEFINE_integer('num_iter', 0, 'Number of training iterations. 0 -> Use epoch_iter')
flags.DEFINE_integer('new_dataset_freq', 2, 'at which epoch to get a new dataset')
## Flags for logging and snapshotting
flags.DEFINE_string('checkpoint_dir', osp.join(cache_path, 'snapshots'),
'Root directory for output files')
flags.DEFINE_integer('print_freq', 20, 'scalar logging frequency')
flags.DEFINE_integer('save_latest_freq', 10000, 'save latest model every x iterations')
flags.DEFINE_integer('save_epoch_freq', 25, 'save model every k epochs')
flags.DEFINE_bool('save_training_imgs', False, 'save mask and images for debugging')
## Flags for visualization
flags.DEFINE_integer('display_freq', 100, 'visuals logging frequency')
flags.DEFINE_boolean('display_visuals', False, 'whether to display images')
flags.DEFINE_boolean('print_scalars', True, 'whether to print scalars')
flags.DEFINE_boolean('plot_scalars', False, 'whether to plot scalars')
flags.DEFINE_boolean('is_train', True, 'Are we training ?')
flags.DEFINE_integer('display_id', 1, 'Display Id')
flags.DEFINE_integer('display_winsize', 256, 'Display Size')
flags.DEFINE_integer('display_port', 8097, 'Display port')
flags.DEFINE_integer('display_single_pane_ncols', 0, 'if positive, display all images in a single visdom web panel with certain number of images per row.')
flags.DEFINE_integer('num_train_epoch', 40, '')
flags.DEFINE_boolean('do_validation', False, 'compute on validation set at each epoch')
flags.DEFINE_boolean('is_var_opt', False, 'set to True to optimize over pose scale trans')
def set_bn_eval(m):
classname = m.__class__.__name__
if (classname.find('BatchNorm1d') != -1) or (classname.find('BatchNorm2d') != -1):
m.eval()
#-------- tranining class ---------#
#----------------------------------#
class Trainer():
def __init__(self, opts):
self.opts = opts
self.gpu_id = opts.gpu_id
self.Tensor = torch.cuda.FloatTensor if (self.gpu_id is not None) else torch.Tensor
self.invalid_batch = False #the trainer can optionally reset this every iteration during set_input call
self.save_dir = os.path.join(opts.checkpoint_dir, opts.name)
if not os.path.exists(self.save_dir):
os.makedirs(self.save_dir)
log_file = os.path.join(self.save_dir, 'opts.log')
with open(log_file, 'w') as f:
for k in dir(opts):
f.write('{}: {}\n'.format(k, opts.__getattr__(k)))
# helper saving function that can be used by subclasses
def save_network(self, network, network_label, epoch_label, gpu_id=None):
save_filename = '{}_net_{}.pth'.format(network_label, epoch_label)
save_path = os.path.join(self.save_dir, save_filename)
torch.save(network.cpu().state_dict(), save_path)
if gpu_id is not None and torch.cuda.is_available():
network.cuda(device=gpu_id)
return
# helper loading function that can be used by subclasses
def load_network(self, network, network_label, epoch_label, network_dir=None):
save_filename = '{}_net_{}.pth'.format(network_label, epoch_label)
if network_dir is None:
network_dir = self.save_dir
save_path = os.path.join(network_dir, save_filename)
network.load_state_dict(torch.load(save_path))
return
def define_model(self):
'''Should be implemented by the child class.'''
raise NotImplementedError
def init_dataset(self):
'''Should be implemented by the child class.'''
raise NotImplementedError
def define_criterion(self):
'''Should be implemented by the child class.'''
raise NotImplementedError
def set_input(self, batch):
'''Should be implemented by the child class.'''
raise NotImplementedError
def forward(self):
'''Should compute self.total_loss. To be implemented by the child class.'''
raise NotImplementedError
def save(self, epoch_prefix):
'''Saves the model.'''
self.save_network(self.model, 'pred', epoch_prefix, gpu_id=self.opts.gpu_id)
return
def get_current_visuals(self):
'''Should be implemented by the child class.'''
raise NotImplementedError
def get_current_scalars(self):
'''Should be implemented by the child class.'''
raise NotImplementedError
def get_current_points(self):
'''Should be implemented by the child class.'''
raise NotImplementedError
def init_training(self):
opts = self.opts
self.init_dataset()
self.define_model()
self.define_criterion()
if opts.use_sgd:
self.optimizer = torch.optim.SGD(
self.model.parameters(), lr=opts.learning_rate, momentum=opts.beta1)
else:
self.optimizer = torch.optim.Adam(
self.model.parameters(), lr=opts.learning_rate, betas=(opts.beta1, 0.999))
def save_current(self, opts, initial_loss=0, final_loss=0, code='_'):
res_dict = {
'final_loss': final_loss.data.detach().cpu().numpy(),
'delta_v': self.delta_v.data.detach().cpu().numpy(),
'kp_pred': self.kp_pred.data.detach().cpu().numpy(),
'scale': self.scale_pred.data.detach().cpu().numpy(),
'trans': self.trans_pred.data.detach().cpu().numpy(),
'pose': self.pose_pred.data.detach().cpu().numpy(),
'initial_loss': initial_loss.data.detach().cpu().numpy(),
}
scipy.misc.imsave(opts.image_file_string.replace('.png', code + 'mask.png'),
255*self.mask_pred.detach().cpu()[0,:,:])
uv_flows = self.model.texture_predictor.uvimage_pred
uv_flows = uv_flows.permute(0, 2, 3, 1)
uv_images = torch.nn.functional.grid_sample(self.imgs, uv_flows)
scipy.misc.imsave(opts.image_file_string.replace('.png', code + 'tex.png'),
255*np.transpose(uv_images.detach().cpu()[0,:,:,:], (1, 2, 0)))
pkl.dump(res_dict, open(opts.image_file_string.replace('.png', code + 'res.pkl'), 'wb'))
def train(self):
time_stamp = str(time.time())[:10]
opts = self.opts
self.smoothed_total_loss = 0
self.visualizer = Visualizer(opts)
visualizer = self.visualizer
total_steps = 0
dataset_size = len(self.dataloader)
print('dataset_size '+str(dataset_size))
v_log_file = os.path.join(self.save_dir, 'validation.log')
curr_epoch_err = 1000
if opts.is_optimization:
self.model.eval()
self.model.texture_predictor.eval()
for param in self.model.texture_predictor.parameters():
param.requires_grad = False
self.model.encoder.eval()
for param in self.model.encoder.parameters():
param.requires_grad = False
self.model.code_predictor.shape_predictor.pred_layer.eval()
for param in self.model.code_predictor.shape_predictor.pred_layer.parameters():
param.requires_grad = False
self.model.code_predictor.shape_predictor.fc.eval()
for param in self.model.code_predictor.shape_predictor.fc.parameters():
param.requires_grad = False
self.model.code_predictor.scale_predictor.pred_layer.eval()
for param in self.model.code_predictor.scale_predictor.pred_layer.parameters():
param.requires_grad = False
self.model.code_predictor.trans_predictor.pred_layer_xy.eval()
for param in self.model.code_predictor.trans_predictor.pred_layer_xy.parameters():
param.requires_grad = False
self.model.code_predictor.trans_predictor.pred_layer_z.eval()
for param in self.model.code_predictor.trans_predictor.pred_layer_z.parameters():
param.requires_grad = False
self.model.code_predictor.pose_predictor.pred_layer.eval()
for param in self.model.code_predictor.pose_predictor.pred_layer.parameters():
param.requires_grad = False
self.model.apply(set_bn_eval)
if opts.is_optimization:
code = osp.splitext(osp.basename(opts.image_file_string))[0]
visualizer.print_message(code)
self.background_model_top = None
set_optimization_input = True
if True:
for epoch in range(opts.num_pretrain_epochs, opts.num_epochs):
epoch_iter = 0
for i, batch in enumerate(self.dataloader):
iter_start_time = time.time()
if not opts.is_optimization:
self.set_input(batch)
else:
if set_optimization_input:
self.set_input(batch)
if not self.invalid_batch:
self.optimizer.zero_grad()
self.forward()
if opts.is_optimization:
if set_optimization_input:
initial_loss = self.tex_loss
print("Initial loss")
print(initial_loss)
current_loss = initial_loss
opt_loss = current_loss
# Now the input should be the image prediction
self.set_optimization_input()
set_optimization_input = False
self.save_current(opts, initial_loss, current_loss, code='_init_')
else:
current_loss = self.tex_loss
if current_loss < opt_loss:
opt_loss = current_loss
self.save_current(opts, initial_loss, current_loss, code='_best_')
visualizer.print_message('save current best ' + str(current_loss))
# self.background_model_top is not used but exloited as a flag
if opts.is_optimization and self.background_model_top is None:
# Create background model with current prediction
M = np.abs(self.mask_pred.cpu().detach().numpy()[0,:,:]-1)
I = np.transpose(self.imgs.cpu().detach().numpy()[0,:,:,:],(1,2,0))
N = 128
# Top half of the image
self.background_model_top = np.zeros((3))
n = np.sum(M[:N,:])
for c in range(3):
J = I[:,:,c] * M
self.background_model_top[c] = np.sum(J[:N,:])/n
self.background_model_bottom = np.zeros((3))
n = np.sum(M[N:,:])
for c in range(3):
J = I[:,:,c] * M
self.background_model_bottom[c] = np.sum(J[N:,:])/n
if opts.use_sgd:
self.optimizer = torch.optim.SGD(
[self.model.op_features], lr=opts.learning_rate, momentum=opts.beta1)
else:
if opts.is_var_opt:
self.optimizer = torch.optim.Adam(
self.model.op_features, lr=opts.learning_rate, betas=(opts.beta1, 0.999))
else:
self.optimizer = torch.optim.Adam(
[self.model.op_features], lr=opts.learning_rate, betas=(opts.beta1, 0.999))
self.smoothed_total_loss = self.smoothed_total_loss*0.99 + 0.01*self.total_loss.data
self.total_loss.backward()
self.optimizer.step()
total_steps += 1
epoch_iter += 1
if opts.display_visuals and (total_steps % opts.display_freq == 0):
iter_end_time = time.time()
print('time/itr %.2g' % ((iter_end_time - iter_start_time)/opts.display_freq))
visualizer.display_current_results(self.get_current_visuals(), epoch)
visualizer.plot_current_points(self.get_current_points())
if opts.print_scalars and (total_steps % opts.print_freq == 0):
scalars = self.get_current_scalars()
visualizer.print_current_scalars(epoch, epoch_iter, scalars)
if opts.plot_scalars:
visualizer.plot_current_scalars(epoch, float(epoch_iter)/dataset_size, opts, scalars)
if total_steps % opts.save_latest_freq == 0:
print('saving the model at the end of epoch {:d}, iters {:d}'.format(epoch, total_steps))
self.save('latest')
if total_steps == opts.num_iter:
return
if opts.do_validation:
self.save('100000')
epoch_err = smal_mesh_eval(num_train_epoch=100000)
if epoch_err <= curr_epoch_err:
print('update best model')
curr_epoch_err = epoch_err
self.save('best')
with open(v_log_file, 'a') as f:
f.write('{}: {}\n'.format(epoch, epoch_err))
'''
if opts.is_optimization and (epoch==(opts.num_epochs-1) or epoch==opts.num_pretrain_epochs):
img_pred = self.texture_pred*self.mask_pred + self.background_imgs*(torch.abs(self.mask_pred - 1.))
T = img_pred.cpu().detach().numpy()[0,:,:,:]
T = np.transpose(T,(1,2,0))
scipy.misc.imsave(code + '_img_pred_'+str(epoch)+'.png', T)
img_pred = self.texture_pred*self.mask_pred + self.imgs*(torch.abs(self.mask_pred - 1.))
T = img_pred.cpu().detach().numpy()[0,:,:,:]
T = np.transpose(T,(1,2,0))
scipy.misc.imsave(code + '_img_ol_'+str(epoch)+'.png', T)
'''
'''
if opts.is_optimization and opts.save_training_imgs and np.mod(epoch,20)==0:
img_pred = self.texture_pred*self.mask_pred + self.background_imgs*(torch.abs(self.mask_pred - 1.))
T = img_pred.cpu().detach().numpy()[0,:,:,:]
T = np.transpose(T,(1,2,0))
scipy.misc.imsave(opts.name + '_img_pred_'+str(epoch)+'.png', T)
img_pred = self.texture_pred*self.mask_pred + self.imgs*(torch.abs(self.mask_pred - 1.))
T = img_pred.cpu().detach().numpy()[0,:,:,:]
T = np.transpose(T,(1,2,0))
scipy.misc.imsave(opts.name + '_img_ol_'+str(epoch)+'.png', T)
'''
'''
if opts.is_optimization and epoch == opts.num_pretrain_epochs:
T = 255*self.imgs.cpu().detach().numpy()[0,:,:,:]
T = np.transpose(T,(1,2,0))
scipy.misc.imsave(code+'_img_gt.png', T)
'''
if (epoch+1) % opts.save_epoch_freq == 0:
print('saving the model at the end of epoch {:d}, iters {:d}'.format(epoch, total_steps))
if opts.is_optimization:
self.save_current(opts, initial_loss, current_loss, code=None)
else:
self.save(epoch+1)
self.save('latest')
if opts.is_optimization:
if opt_loss < initial_loss:
visualizer.print_message('updated')
================================================
FILE: requirements.txt
================================================
absl-py==0.1.10
chainer==3.3.0
cupy==2.3.0
Cython==0.27.3
h5py==2.7.1
imageio==2.2.0
ipdb==0.10.3
matplotlib==2.1.2
meshzoo==0.3.1
numpy==1.14.0
opencv-python==3.4.0.12
Pillow==8.3.2
progressbar==2.3
protobuf==3.5.1
PyOpenGL==3.1.0
scikit-image==0.13.1
scipy==1.0.0
torch==0.4.1
torchfile==0.1.0
torchvision==0.2.0
tqdm==4.19.5
visdom==0.1.7
================================================
FILE: scripts/smalst_evaluation_run.sh
================================================
# Example script to run the evaluation
python -m smalst.smal_eval --name=smal_net_600 --img_path='smalst/zebra_testset/' --num_train_epoch=186 --use_annotations=True --mirror=True --segm_eval=True --img_ext='.jpg' --anno_path='smalst/zebra_testset/annotations'
#python -m smalst.smal_eval --name=smal_net_600 --img_path='smalst/zebra_video_frame/' --num_train_epoch=186 --use_annotations=False --mirror=False --segm_eval=False --img_ext='.png' --bgval=0 --save_input=False --test_optimization_results=True --optimization_dir=smalst_experiments/demo_var_feat
================================================
FILE: scripts/smalst_op_run.sh
================================================
#!/bin/sh
export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:/usr/local/cuda/lib
# The directory processed contains the input image as processed by the network in the feed forward pass.
# Before running the optimization please run the feed forward network on the data with the flag save_input at True (see smalst_evaluation_run.sh)
zebra_dir='/Users/silvia/Dropbox/Work/smalst/zebra_video_frame/processed'
zebra_dir_images='/Users/silvia/Dropbox/Work/smalst/zebra_video_frame/processed/*'
for dir in $zebra_dir_images
do
for fil in $dir
do
file=$(basename $fil)
echo "$file"
python -m smalst.experiments.smal_shape --name=smal_net_600 --zebra_dir=$zebra_dir --image_file_string=$fil --num_pretrain_epochs=186 --batch_size=1 --texture_map=False --perturb_bbox=False --save_epoch_freq=1000 --save_training_imgs=True --is_optimization=True --use_loss_on_whole_image=True --learning_rate=0.0001 --use_directional_light=False --num_epochs=220 --is_var_opt=False
done
done
================================================
FILE: scripts/smalst_train_run.sh
================================================
#python -m smalst.experiments.smal_shape --zebra_dir='smalst/zebra_training_set' --num_epochs=40 --save_epoch_freq=20 --name=smal_net_0 --save_training_imgs=False --num_images=20000 --do_validation=False --texture=False --texture_map=False --uv_flow=False --batch_size=2 --nz_feat=16 --bottleneck_size=16
python -m nokap.experiments.smal_shape --zebra_dir='nokap/zebra_training_set' --num_epochs=200 --save_epoch_freq=20 --name=smal_net_0 --save_training_imgs=False --num_images=20000 --do_validation=True
================================================
FILE: smal_eval.py
================================================
"""
Evaluation on the testset.
python -m smalst.smal_eval --name=smal_net_600 --img_path='smalst/testset_zoo/' --num_train_epoch=186 --use_annotations=False --mirror=False --segm_eval=False --img_ext='.png' --bgval=0
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
from absl import flags, app
import numpy as np
import pickle as pkl
import torch
import scipy
import scipy.misc
#from .nnutils import test_utils
from .nnutils import smal_predictor as pred_util
from .utils import image as img_util
from glob import glob
import scipy.io as sio
import matplotlib.pyplot as plt
# Only necessary for running on the testset to pad the image with the original one
from .testset_shape_experiments_crops import bboxes
import os.path as osp
from os.path import exists
from os import makedirs
curr_path = osp.dirname(osp.abspath(__file__))
cache_path = osp.join(curr_path, 'cachedir')
flags.DEFINE_string('img_path', 'data/im1963.jpg', 'Image to run')
flags.DEFINE_integer('img_size', 256, 'image size the network was trained on.')
flags.DEFINE_boolean('use_annotations', True, '')
flags.DEFINE_boolean('mirror', False, '')
flags.DEFINE_boolean('visualize', False, '')
flags.DEFINE_boolean('save_input', False, '')
flags.DEFINE_string('anno_path', '.', 'where the annotations are')
flags.DEFINE_string('img_ext', '.jpg', 'image extension')
flags.DEFINE_boolean('segm_eval', True, 'if we have gt segmentations and evaluate overlap')
flags.DEFINE_boolean('synthetic', False, '')
flags.DEFINE_integer('bgval', -1, '-1 means to pad the image with the original one (used for the testset)')
flags.DEFINE_boolean('test_optimization_results', False, '')
flags.DEFINE_string('optimization_dir', 'smalst/optimization_results', '')
flags.DEFINE_integer('batch_size', 4, 'Size of minibatches')
flags.DEFINE_string('name', 'exp_name', 'Experiment Name')
flags.DEFINE_integer('num_train_epoch', 0, 'Number of training iterations')
flags.DEFINE_integer('gpu_id', 0, 'Which gpu to use')
flags.DEFINE_string('cache_dir', cache_path, 'Cachedir')
flags.DEFINE_string('checkpoint_dir',
osp.join(cache_path, 'snapshots'),
'Directory where networks are saved')
flags.DEFINE_string('out_path', './smalst_results', 'where to save the result images')
opts = flags.FLAGS
def get_bbox(img_path, kp):
# Load the mask
mask_img = scipy.misc.imread(img_path.replace('images', 'bgsub')) / 255.
# Load the image
img = scipy.misc.imread(img_path) / 255.
where = np.array(np.where(mask_img))
xmin, ymin, _ = np.amin(where, axis=1)
xmax, ymax, _ = np.amax(where, axis=1)
mask_img = mask_img[xmin:xmax, ymin:ymax,:]
img = img[xmin:xmax, ymin:ymax,:]
kp[:,0] = kp[:,0] - ymin
kp[:,1] = kp[:,1] - xmin
return img, mask_img, kp
def preprocess_image(img_path, img_size=256, kp=None, border=5, bgval=-1, img=None, img_ext='.jpg'):
if img is None:
img = scipy.misc.imread(img_path) / 255.
img = img[:,:,:3]
img_in_shape = img.shape
# Scale the max image size to be img_size
scale_factor = float(img_size-2*border) / np.max(img.shape[:2])
img, _ = img_util.resize_img(img, scale_factor)
# Crop img_size x img_size from the center
center = np.round(np.array(img.shape[:2]) / 2).astype(int)
# img center in (x, y)
center = center[::-1]
bbox = np.hstack([center - img_size / 2., center + img_size / 2.])
img = img_util.crop(img, bbox, bgval=bgval)
# Replace the border with the real background
img_name = osp.splitext(osp.basename(img_path))[0]
# Read the full image
if bgval == -1:
full_img_path = osp.join(osp.dirname(img_path), 'full_size', img_name+'*'+img_ext)
full_img_path = glob(full_img_path)[0]
if osp.exists(full_img_path):
full_img = scipy.misc.imread(full_img_path)/255.
bbox_orig = np.array(bboxes[img_name])
sf = img_in_shape[0]/(1.0*bbox_orig[3])
new_img, _ = img_util.resize_img(full_img, sf*scale_factor)
center[0] = np.round((bbox_orig[2]/2. + bbox_orig[0])*sf*scale_factor).astype(int)
center[1] = np.round((bbox_orig[3]/2. + bbox_orig[1])*sf*scale_factor).astype(int)
bbox2 = np.hstack([center - img_size / 2., center + img_size / 2.])
img = img_util.crop(new_img, bbox2, bgval=0)
img, _ = img_util.resize_img(img, 256/257.)
# Transpose the image to 3xHxW
img = np.transpose(img, (2, 0, 1))
if kp is not None:
kp = kp*scale_factor
kp[:,0] -= bbox[0]
kp[:,1] -= bbox[1]
return img, kp
def mirror_keypoints(keyp, vis, img_w):
'''
exchange keypoints from left to right and update x value
names =['leftEye','rightEye','chin','frontLeftFoot','frontRightFoot',
'backLeftFoot','backRightFoot','tailStart','frontLeftKnee',
'frontRightKnee','backLeftKnee','backRightKnee','leftShoulder',
'rightShoulder','frontLeftAnkle','frontRightAnkle','backLeftAnkle'
'backRightAnkle','neck','TailTip','leftEar','rightEar',
'nostrilLeft','nostrilRight','mouthLeft','mouthRight',
'cheekLeft','cheekRight']
'''
dx2sx = [1,0,2,4,3,6,5,7,9,8,11,10,13,12,15,14,17,16,18,19,21,20,23,22,25,24,27,26]
keyp_m = np.zeros_like(keyp)
keyp_m[:,0] = img_w - keyp[dx2sx,0] - 1
keyp_m[:,1] = keyp[dx2sx,1]
vis_m = np.zeros_like(vis)
vis_m[:] = vis[dx2sx]
return keyp_m, vis_m
def mirror_image(img):
if len(img.shape)==3:
img_m = img[:,:,::-1].copy()
else:
img_m = img[:,::-1].copy()
return img_m
def visualize_opt(img, predictor, renderer, data, out_path):
pose = torch.Tensor(data['pose']).cuda(0)
trans = torch.Tensor(data['trans']).cuda(0)
del_v = torch.Tensor(data['delta_v']).cuda(0)
vert = predictor.model.get_smal_verts(pose, None, trans, del_v)
cam = 128*np.ones((3))
cam[0] = data['scale'][0,:]
cam = torch.Tensor(cam).cuda(0)
shape_pred = renderer(vert, cam)
img = np.transpose(img, (1, 2, 0))
I = 0.3*255*img + 0.7*shape_pred
scipy.misc.imsave(out_path, I)
def visualize(img, outputs, renderer, img_path=None, opts=None, cam_gt=0,
z_gt=0, kp_gt=None, kp_pred=None, mask_gt=None, vis=None, out_path=None, tex_mask=None, visualize=False):
vert = outputs['verts'][0]
cam = outputs['cam_pred'][0]
mask = outputs['mask_pred'].cpu().detach().numpy()
if 'texture' in outputs.keys():
texture = outputs['texture'][0]
uv_image = outputs['uv_image'][0].cpu().detach().numpy()
T = uv_image.transpose(1,2,0)
img_pred = renderer(vert, cam, texture=texture)
if 'occ_pred' in outputs.keys():
occ_pred = outputs['occ_pred'][0].cpu().detach().numpy()
shape_pred = renderer(vert, cam)
img = np.transpose(img, (1, 2, 0))
mask = np.transpose(mask, (1, 2, 0))[:,:,0]
Iov = 0.3*255*img + 0.7*shape_pred
I = shape_pred
scipy.misc.imsave(osp.join(opts.out_path, 'shape_ov_'+out_path), Iov)
scipy.misc.imsave(osp.join(opts.out_path, 'shape_'+out_path), I)
N = 0.6*np.abs(tex_mask[:,:,:3]-1)
if 'texture' in outputs.keys():
scipy.misc.imsave(osp.join(opts.out_path, 'tex_'+out_path), N+T*tex_mask[:,:,:3])
scipy.misc.imsave(osp.join(opts.out_path, 'img_'+out_path), img_pred)
if visualize:
plt.ion()
plt.figure(1)
plt.clf()
plt.subplot(231)
plt.imshow(img)
plt.title('input')
plt.axis('off')
plt.subplot(232)
plt.imshow(img)
plt.imshow(shape_pred, alpha=0.7)
if kp_gt is not None:
idx = np.where(vis==True)
plt.scatter(kp_gt[idx[0],0], kp_gt[idx[0],1])
plt.scatter(kp_pred[idx,0], kp_pred[idx,1])
plt.title('pred mesh')
plt.axis('off')
plt.subplot(233)
if 'texture' in outputs.keys():
plt.imshow(img_pred)
plt.title('pred mesh w/texture')
plt.axis('off')
plt.subplot(234)
plt.imshow(T)
plt.axis('off')
plt.subplot(235)
plt.imshow(T*tex_mask[:,:,:3])
plt.axis('off')
plt.subplot(236)
plt.imshow(mask)
plt.axis('off')
plt.draw()
plt.show()
plt.savefig(out_path, bbox_inches='tight')
import pdb; pdb.set_trace()
def save_params(outputs, idx):
data = {'pose': outputs['pose_pred'].data.detach().cpu().numpy()[0,:],
'verts': outputs['verts'].data.detach().cpu().numpy()[0,:],
'f': outputs['f'].data.detach().cpu().numpy()[0,:],
'v': outputs['v'].data.detach().cpu().numpy()[0,:],}
pkl.dump(data, open('data_'+str(idx)+'.pkl', 'wb'))
def main(_):
texture_mask_path = 'smalst/zebra_data/texture_maps/my_smpl_00781_4_all_template_w_tex_uv_001_mask_small_256.png'
tex_mask = scipy.misc.imread(texture_mask_path)/255.
if not exists(opts.out_path): makedirs(opts.out_path)
images = sorted(glob(opts.img_path+'*'+opts.img_ext))
print(str(len(images)))
N = len(images)
show = True
segm_eval = opts.segm_eval
use_annotations = opts.use_annotations
mirror = opts.mirror
if mirror:
N = 2*N
if show:
predictor = pred_util.MeshPredictor(opts)
tot_pose_err = 0
annotations_path = opts.anno_path
alpha = [0.01, 0.02, 0.05, 0.1, 0.15]
n_alpha = len(alpha)
global_rotation = 0
mirr_global_rotation = 0
err_tot = np.zeros((N, n_alpha))
shape_f = np.zeros((N,40))
overlap = np.zeros((N))
IOU = np.zeros((N))
idx = 0
for iidx, img_path in enumerate(images):
if use_annotations:
if opts.synthetic:
anno_path = osp.join(annotations_path, osp.basename(img_path).replace(opts.img_ext, '.pkl'))
res = pkl.load(open(anno_path))
kp = res['keypoints']
pose = res['pose']
trans = res['trans']
flength = res['flength']
delta_v = res['delta_v']
vis = np.ones((kp.shape[0],1),dtype=bool)
else:
anno_path = osp.join(annotations_path, osp.basename(img_path).replace(opts.img_ext, '_ferrari-tail-face.mat'))
res = sio.loadmat(anno_path, squeeze_me=True, struct_as_record=False)
res = res['annotation']
kp = res.kp.astype(float)
invisible = res.invisible
vis = np.atleast_2d(~invisible.astype(bool)).T
landmarks = np.hstack((kp, vis))
names = [str(res.names[i]) for i in range(len(res.names))]
else:
kp = None
kp_pred = None
vis = None
if opts.synthetic:
img, mask_img, kp = get_bbox(img_path, kp=kp)
mask_img, _ = preprocess_image(img_path.replace('images','bgsub'), img_size=opts.img_size, kp=None, bgval=0, img=mask_img, img_ext=opts.img_ext)
img, kp = preprocess_image(img_path, img_size=opts.img_size, kp=kp, img=img, bgval=0, img_ext=opts.img_ext)
else:
img, kp = preprocess_image(img_path, img_size=opts.img_size, kp=kp, bgval=opts.bgval, img_ext=opts.img_ext)
code = osp.splitext(osp.basename(img_path))[0]
# Load the gt mask
if segm_eval:
if not opts.synthetic:
mask_path = osp.join(opts.img_path, 'masks', osp.basename(img_path).replace('jpg','png'))
mask_img, _ = preprocess_image(mask_path, img_size=opts.img_size, bgval=0, img_ext=opts.img_ext)
if opts.save_input:
scipy.misc.imsave(osp.join(opts.out_path, 'proc_'+osp.basename(img_path)), 255*np.transpose(img, (1, 2, 0)))
if segm_eval:
scipy.misc.imsave(osp.join(opts.out_path, 'mask_proc_'+osp.basename(img_path)), 255*np.transpose(mask_img, (1, 2, 0)))
print(idx)
print(code)
if opts.test_optimization_results:
res_file = osp.join(opts.optimization_dir, 'proc_'+code+'_best_res.pkl')
mask_file = osp.join(opts.optimization_dir, 'proc_'+code+'_best_mask.png')
print('look for file ' + res_file)
if not osp.exists(res_file) or not osp.exists(mask_file):
res_file = osp.join(opts.optimization_dir, 'proc_'+code+'_init_res.pkl')
mask_file = osp.join(opts.optimization_dir, 'proc_'+code+'_init_mask.png')
else:
print('found optimization result')
data = pkl.load(open(res_file))
mask_pred = scipy.misc.imread(mask_file)/255.
else:
batch = {'img': torch.Tensor(np.expand_dims(img, 0))}
outputs = predictor.predict(batch, rot=global_rotation)
mask_pred = outputs['mask_pred'].detach().cpu().numpy()[0,:,:]
shape_f[idx,:] = outputs['shape_f'].detach().cpu().numpy()
if segm_eval:
M_gt = mask_img[0,:,:]
overlap[idx] = np.sum(M_gt*mask_pred)/(np.sum(M_gt)+np.sum(mask_pred))
IOU[idx] = np.sum(M_gt*mask_pred)/(np.sum(M_gt)+np.sum(mask_pred)-np.sum(M_gt*mask_pred))
print(overlap[idx])
print(IOU[idx])
if use_annotations:
if opts.test_optimization_results:
kp_pred = ((data['kp_pred'][0,:,:]+1.)*128).astype(int)
else:
kp_pred = ((outputs['kp_pred'].cpu().detach().numpy()[0,:,:]+1.)*128).astype(int)
kp_diffs = np.linalg.norm(kp[vis[:,0],:]/256. - kp_pred[vis[:,0],:]/256., axis=1)
for a in range(n_alpha):
kp_err = np.mean(kp_diffs < alpha[a])
print(kp_err)
err_tot[idx, a] = kp_err
if show and not opts.test_optimization_results:
renderer = predictor.vis_rend
renderer.set_light_dir([0, 1, -1], 0.4)
visualize(img, outputs, predictor.vis_rend, img_path, opts,
kp_gt=kp, kp_pred=kp_pred, vis=vis, out_path=opts.name+'_test_%03d' % (idx) +'.png', tex_mask=tex_mask,
visualize=opts.visualize)
if show and opts.test_optimization_results:
visualize_opt(img, predictor, predictor.vis_rend, data, opts.name+'_opt_%03d' % (idx) +'.png')
idx += 1
if mirror:
kp_m = None
vis_m = None
img_m = mirror_image(img)
M_gt_m = mirror_image(M_gt)
if opts.save_input:
scipy.misc.imsave('proc_mirr_'+osp.basename(img_path), 255*np.transpose(img_m, (1, 2, 0)))
if opts.test_optimization_results:
res_file = osp.join(opts.optimization_dir, 'proc_mirr_'+code+'_best_res.pkl')
mask_file = osp.join(opts.optimization_dir, 'proc_mirr_'+code+'_best_mask.png')
if not osp.exists(res_file) or not osp.exists(mask_file):
res_file = osp.join(opts.optimization_dir, 'proc_mirr_'+code+'_init_res.pkl')
mask_file = osp.join(opts.optimization_dir, 'proc_mirr_'+code+'_init_mask.png')
data = pkl.load(open(res_file))
mask_pred = scipy.misc.imread(mask_file)/255.
else:
batch = {'img': torch.Tensor(np.expand_dims(img_m, 0))}
outputs = predictor.predict(batch, rot=mirr_global_rotation)
shape_f[idx,:] = outputs['shape_f'].detach().cpu().numpy()
mask_pred = outputs['mask_pred'].detach().cpu().numpy()[0,:,:]
if segm_eval:
M_gt = mask_img[0,:,:]
overlap[idx] = np.sum(M_gt_m*mask_pred)/(np.sum(M_gt_m)+np.sum(mask_pred))
IOU[idx] = np.sum(M_gt*mask_pred)/(np.sum(M_gt)+np.sum(mask_pred)-np.sum(M_gt*mask_pred))
print(overlap[idx])
print(IOU[idx])
if use_annotations:
if opts.test_optimization_results:
kp_m, vis_m = mirror_keypoints(kp, vis, mask_img.shape[1])
kp_pred = ((data['kp_pred'][0,:,:]+1.)*128).astype(int)
else:
kp_m, vis_m = mirror_keypoints(kp, vis, img.shape[2])
kp_pred = ((outputs['kp_pred'].cpu().detach().numpy()[0,:,:]+1.)*128).astype(int)
kp_diffs = np.linalg.norm(kp_m[vis[:,0],:]/256. - kp_pred[vis[:,0],:]/256., axis=1)
for a in range(n_alpha):
kp_err = np.mean(kp_diffs < alpha[a])
print(kp_err)
err_tot[idx, a] = kp_err
if show and not opts.test_optimization_results:
visualize(img_m, outputs, predictor.vis_rend, img_path, opts,
kp_gt=kp_m, kp_pred=kp_pred, vis=vis_m, out_path=opts.name+'_test_%03d' % (idx) +'.png', tex_mask=tex_mask,
visualize=opts.visualize)
if show and opts.test_optimization_results:
visualize_opt(img_m, predictor, predictor.vis_rend, data, opts.name+'_opt_%03d' % (idx) +'.png')
idx += 1
if use_annotations:
print('PCK')
print(np.mean(err_tot, axis=0))
print(np.median(err_tot, axis=0))
print(np.std(err_tot, axis=0))
print('Overlap')
print(np.mean(overlap))
print(np.median(overlap))
print(np.std(overlap))
print('IOU')
print(np.mean(IOU))
print(np.median(IOU))
print(np.std(IOU))
if __name__ == '__main__':
opts.batch_size = 1
app.run(main)
================================================
FILE: smal_model/__init__.py
================================================
================================================
FILE: smal_model/batch_lbs.py
================================================
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import torch
import numpy as np
def batch_skew(vec, batch_size=None, opts=None):
"""
vec is N x 3, batch_size is int
returns N x 3 x 3. Skew_sym version of each matrix.
"""
if batch_size is None:
batch_size = vec.shape.as_list()[0]
col_inds = torch.LongTensor([1, 2, 3, 5, 6, 7])
indices = torch.reshape(torch.reshape(torch.arange(0, batch_size) * 9, [-1, 1]) + col_inds, [-1, 1])
updates = torch.reshape(
torch.stack(
[
-vec[:, 2], vec[:, 1], vec[:, 2], -vec[:, 0], -vec[:, 1],
vec[:, 0]
],
dim=1), [-1])
out_shape = [batch_size * 9]
res = torch.Tensor(np.zeros(out_shape[0])).cuda(device=opts.gpu_id)
res[np.array(indices.flatten())] = updates
res = torch.reshape(res, [batch_size, 3, 3])
return res
def batch_rodrigues(theta, opts=None):
"""
Theta is Nx3
"""
batch_size = theta.shape[0]
angle = (torch.norm(theta + 1e-8, p=2, dim=1)).unsqueeze(-1)
r = (torch.div(theta, angle)).unsqueeze(-1)
angle = angle.unsqueeze(-1)
cos = torch.cos(angle)
sin = torch.sin(angle)
outer = torch.matmul(r, r.transpose(1,2))
eyes = torch.eye(3).unsqueeze(0).repeat([batch_size, 1, 1]).cuda(device=opts.gpu_id)
H = batch_skew(r, batch_size=batch_size, opts=opts)
R = cos * eyes + (1 - cos) * outer + sin * H
return R
def batch_lrotmin(theta):
"""
Output of this is used to compute joint-to-pose blend shape mapping.
Equation 9 in SMPL paper.
Args:
pose: `Tensor`, N x 72 vector holding the axis-angle rep of K joints.
This includes the global rotation so K=24
Returns
diff_vec : `Tensor`: N x 207 rotation matrix of 23=(K-1) joints with identity subtracted.,
"""
# Ignore global rotation
theta = theta[:,3:]
Rs = batch_rodrigues(torch.reshape(theta, [-1,3]))
lrotmin = torch.reshape(Rs - torch.eye(3), [-1, 207])
return lrotmin
def batch_global_rigid_transformation(Rs, Js, parent, rotate_base = False, opts=None):
"""
Computes absolute joint locations given pose.
rotate_base: if True, rotates the global rotation by 90 deg in x axis.
if False, this is the original SMPL coordinate.
Args:
Rs: N x 24 x 3 x 3 rotation vector of K joints
Js: N x 24 x 3, joint locations before posing
parent: 24 holding the parent id for each index
Returns
new_J : `Tensor`: N x 24 x 3 location of absolute joints
A : `Tensor`: N x 24 4 x 4 relative joint transformations for LBS.
"""
if rotate_base:
print('Flipping the SMPL coordinate frame!!!!')
rot_x = torch.Tensor([[1, 0, 0], [0, -1, 0], [0, 0, -1]])
rot_x = torch.reshape(torch.repeat(rot_x, [N, 1]), [N, 3, 3]) # In tf it was tile
root_rotation = torch.matmul(Rs[:, 0, :, :], rot_x)
else:
root_rotation = Rs[:, 0, :, :]
# Now Js is N x 24 x 3 x 1
Js = Js.unsqueeze(-1)
N = Rs.shape[0]
def make_A(R, t):
# Rs is N x 3 x 3, ts is N x 3 x 1
R_homo = torch.nn.functional.pad(R, (0,0,0,1,0,0))
t_homo = torch.cat([t, torch.ones([N, 1, 1]).cuda(device=opts.gpu_id)], 1)
return torch.cat([R_homo, t_homo], 2)
A0 = make_A(root_rotation, Js[:, 0])
results = [A0]
for i in range(1, parent.shape[0]):
j_here = Js[:, i] - Js[:, parent[i]]
A_here = make_A(Rs[:, i], j_here)
res_here = torch.matmul(
results[parent[i]], A_here)
results.append(res_here)
# 10 x 24 x 4 x 4
results = torch.stack(results, dim=1)
new_J = results[:, :, :3, 3]
# --- Compute relative A: Skinning is based on
# how much the bone moved (not the final location of the bone)
# but (final_bone - init_bone)
# ---
Js_w0 = torch.cat([Js, torch.zeros([N, 35, 1, 1]).cuda(device=opts.gpu_id)], 2)
init_bone = torch.matmul(results, Js_w0)
# Append empty 4 x 3:
init_bone = torch.nn.functional.pad(init_bone, (3,0,0,0,0,0,0,0))
A = results - init_bone
return new_J, A
================================================
FILE: smal_model/smal_basics.py
================================================
import os
import pickle as pkl
import numpy as np
from smpl_webuser.serialization import load_model
import pickle as pkl
model_dir = 'smalst/smpl_models/'
def align_smal_template_to_symmetry_axis(v):
# These are the indexes of the points that are on the symmetry axis
I = [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 37, 55, 119, 120, 163, 209, 210, 211, 213, 216, 227, 326, 395, 452, 578, 910, 959, 964, 975, 976, 977, 1172, 1175, 1176, 1178, 1194, 1243, 1739, 1796, 1797, 1798, 1799, 1800, 1801, 1802, 1803, 1804, 1805, 1806, 1807, 1808, 1809, 1810, 1811, 1812, 1813, 1814, 1815, 1816, 1817, 1818, 1819, 1820, 1821, 1822, 1823, 1824, 1825, 1826, 1827, 1828, 1829, 1830, 1831, 1832, 1833, 1834, 1835, 1836, 1837, 1838, 1839, 1840, 1842, 1843, 1844, 1845, 1846, 1847, 1848, 1849, 1850, 1851, 1852, 1853, 1854, 1855, 1856, 1857, 1858, 1859, 1860, 1861, 1862, 1863, 1870, 1919, 1960, 1961, 1965, 1967, 2003]
v = v - np.mean(v)
y = np.mean(v[I,1])
v[:,1] = v[:,1] - y
v[I,1] = 0
sym_path = os.path.join(model_dir, 'symIdx.pkl')
symIdx = pkl.load(open(sym_path))
left = v[:, 1] < 0
right = v[:, 1] > 0
center = v[:, 1] == 0
v[left[symIdx]] = np.array([1,-1,1])*v[left]
left_inds = np.where(left)[0]
right_inds = np.where(right)[0]
center_inds = np.where(center)[0]
try:
assert(len(left_inds) == len(right_inds))
except:
import pdb; pdb.set_trace()
return v, left_inds, right_inds, center_inds
def load_smal_model(model_name='my_smpl_00781_4_all.pkl'):
model_path = os.path.join(model_dir, model_name)
model = load_model(model_path)
v = align_smal_template_to_symmetry_axis(model.r.copy())
return v, model.f
def get_horse_template(model_name='my_smpl_00781_4_all.pkl', data_name='my_smpl_data_00781_4_all.pkl'):
model_path = os.path.join(model_dir, model_name)
model = load_model(model_path)
nBetas = len(model.betas.r)
data_path = os.path.join(model_dir, 'my_smpl_data_00781_4_all.pkl')
data = pkl.load(open(data_path))
# Select average zebra/horse
betas = data['cluster_means'][2][:nBetas]
model.betas[:] = betas
v = model.r.copy()
return v
================================================
FILE: smal_model/smal_torch.py
================================================
"""
PyTorch implementation of the SMAL/SMPL model
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import numpy as np
import torch
from torch.autograd import Variable
import pickle as pkl
from .batch_lbs import batch_rodrigues, batch_global_rigid_transformation
from .smal_basics import align_smal_template_to_symmetry_axis, get_horse_template
# There are chumpy variables so convert them to numpy.
def undo_chumpy(x):
return x if isinstance(x, np.ndarray) else x.r
class SMAL(object):
def __init__(self, pkl_path, opts, dtype=torch.float):
self.opts = opts
# -- Load SMPL params --
with open(pkl_path, 'r') as f:
dd = pkl.load(f)
self.f = dd['f']
v_template = get_horse_template(model_name='my_smpl_00781_4_all.pkl', data_name='my_smpl_data_00781_4_all.pkl')
v, self.left_inds, self.right_inds, self.center_inds = align_smal_template_to_symmetry_axis(v_template)
# Mean template vertices
self.v_template = Variable(
torch.Tensor(v).cuda(device=self.opts.gpu_id),
requires_grad=False)
# Size of mesh [Number of vertices, 3]
self.size = [self.v_template.shape[0], 3]
self.num_betas = dd['shapedirs'].shape[-1]
# Shape blend shape basis
shapedir = np.reshape(
undo_chumpy(dd['shapedirs']), [-1, self.num_betas]).T
self.shapedirs = Variable(
torch.Tensor(shapedir).cuda(device=self.opts.gpu_id), requires_grad=False)
# Regressor for joint locations given shape
self.J_regressor = Variable(
torch.Tensor(dd['J_regressor'].T.todense()).cuda(device=self.opts.gpu_id),
requires_grad=False)
# Pose blend shape basis
num_pose_basis = dd['posedirs'].shape[-1]
posedirs = np.reshape(
undo_chumpy(dd['posedirs']), [-1, num_pose_basis]).T
self.posedirs = Variable(
torch.Tensor(posedirs).cuda(device=self.opts.gpu_id), requires_grad=False)
# indices of parents for each joints
self.parents = dd['kintree_table'][0].astype(np.int32)
# LBS weights
self.weights = Variable(
torch.Tensor(undo_chumpy(dd['weights'])).cuda(device=self.opts.gpu_id),
requires_grad=False)
def __call__(self, beta, theta, trans=None, del_v=None, get_skin=True):
if self.opts.use_smal_betas:
nBetas = beta.shape[1]
else:
nBetas = 0
# 1. Add shape blend shapes
if nBetas > 0:
if del_v is None:
v_shaped = self.v_template + torch.reshape(torch.matmul(beta, self.shapedirs[:nBetas,:]), [-1, self.size[0], self.size[1]])
else:
v_shaped = self.v_template + del_v + torch.reshape(torch.matmul(beta, self.shapedirs[:nBetas,:]), [-1, self.size[0], self.size[1]])
else:
if del_v is None:
v_shaped = self.v_template.unsqueeze(0)
else:
v_shaped = self.v_template + del_v
# 2. Infer shape-dependent joint locations.
Jx = torch.matmul(v_shaped[:, :, 0], self.J_regressor)
Jy = torch.matmul(v_shaped[:, :, 1], self.J_regressor)
Jz = torch.matmul(v_shaped[:, :, 2], self.J_regressor)
J = torch.stack([Jx, Jy, Jz], dim=2)
# 3. Add pose blend shapes
# N x 24 x 3 x 3
Rs = torch.reshape( batch_rodrigues(torch.reshape(theta, [-1, 3]), opts=self.opts), [-1, 35, 3, 3])
# Ignore global rotation.
pose_feature = torch.reshape(Rs[:, 1:, :, :] - torch.eye(3).cuda(device=self.opts.gpu_id), [-1, 306])
v_posed = torch.reshape(
torch.matmul(pose_feature, self.posedirs),
[-1, self.size[0], self.size[1]]) + v_shaped
#4. Get the global joint location
self.J_transformed, A = batch_global_rigid_transformation(Rs, J, self.parents, opts=self.opts)
# 5. Do skinning:
num_batch = theta.shape[0]
weights_t = self.weights.repeat([num_batch, 1])
W = torch.reshape(weights_t, [num_batch, -1, 35])
T = torch.reshape(
torch.matmul(W, torch.reshape(A, [num_batch, 35, 16])),
[num_batch, -1, 4, 4])
v_posed_homo = torch.cat(
[v_posed, torch.ones([num_batch, v_posed.shape[1], 1]).cuda(device=self.opts.gpu_id)], 2)
v_homo = torch.matmul(T, v_posed_homo.unsqueeze(-1))
verts = v_homo[:, :, :3, 0]
if trans is None:
trans = torch.zeros((num_batch,3)).cuda(device=self.opts.gpu_id)
verts = verts + trans[:,None,:]
# Get joints:
joint_x = torch.matmul(verts[:, :, 0], self.J_regressor)
joint_y = torch.matmul(verts[:, :, 1], self.J_regressor)
joint_z = torch.matmul(verts[:, :, 2], self.J_regressor)
joints = torch.stack([joint_x, joint_y, joint_z], dim=2)
if get_skin:
return verts, joints, Rs
else:
return joints
================================================
FILE: smal_model/symIdx.pkl
================================================
cnumpy.core.multiarray
_reconstruct
p0
(cnumpy
ndarray
p1
(I0
tp2
S'b'
p3
tp4
Rp5
(I1
(I3889
tp6
cnumpy
dtype
p7
(S'i8'
p8
I0
I1
tp9
Rp10
(I3
S'<'
p11
NNNI-1
I-1
I0
tp12
bI00
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p13
tp14
b.
================================================
FILE: smal_model/template_w_tex_uv.mtl
================================================
# Blender MTL File: 'None'
# Material Count: 1
newmtl my_mat
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.640000 0.640000 0.640000
Ks 0.500000 0.500000 0.500000
Ni 1.000000
d 1.000000
illum 2
map_Kd texture_debug.jpg
================================================
FILE: smal_model/template_w_tex_uv.obj
================================================
# Blender v2.75 (sub 0) OBJ File: ''
# www.blender.org
mtllib template_w_tex_uv.mtl
o my_smpl_0001_4_all_template
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vn 0.808300 -0.112100 -0.578000
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vn 0.819700 -0.094200 -0.565000
vn 0.819700 -0.094200 0.565000
vn 0.827700 -0.245400 -0.504600
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usemtl my_mat
s off
f 1797/1/1 1798/2/1 34/3/1
f 1797/1/2 2013/4/2 1798/2/2
f 34/3/3 35/5/3 1797/1/3
f 2013/4/4 1797/1/4 2014/6/4
f 38/7/5 37/8/5 36/9/5
f 38/7/6 2015/10/6 2016/11/6
f 36/9/7 1799/12/7 38/7/7
f 2015/10/8 38/7/8 1799/12/8
f 41/13/9 40/14/9 39/15/9
f 2019/16/10 2017/17/10 2018/18/10
f 39/15/11 42/19/11 41/13/11
f 2017/17/12 2019/16/12 2020/20/12
f 45/21/13 44/22/13 43/23/13
f 2023/24/14 2021/25/14 2022/26/14
f 43/23/15 42/27/15 45/21/15
f 2021/25/16 2023/24/16 2020/28/16
f 48/29/17 47/30/17 46/31/17
f 2026/32/18 2024/33/18 2025/34/18
f 46/31/19 49/35/19 48/29/19
f 2024/33/20 2026/32/20 2027/36/20
f 52/37/21 51/38/21 50/39/21
f 2030/40/22 2028/41/22 2029/42/22
f 50/39/23 53/43/23 52/37/23
f 2028/41/24 2030/40/24 2031/44/24
f 54/45/25 1801/46/25 1800/47/25
f 2032/48/26 1800/47/26 1801/46/26
f 1800/47/27 55/49/27 54/45/27
f 1800/47/28 2032/48/28 2033/50/28
f 58/51/29 57/52/29 56/53/29
f 2035/54/30 56/53/30 2034/55/30
f 56/53/31 1802/56/31 58/51/31
f 56/53/32 2035/54/32 1802/56/32
f 61/57/33 60/58/33 59/59/33
f 2038/60/34 2036/61/34 2037/62/34
f 59/59/35 62/63/35 61/57/35
f 2036/61/36 2038/60/36 2039/64/36
f 65/65/37 64/66/37 63/67/37
f 2042/68/38 2040/69/38 2041/70/38
f 63/67/39 66/71/39 65/65/39
f 2040/69/40 2042/68/40 2043/72/40
f 69/73/41 68/74/41 67/75/41
f 2046/76/42 2044/77/42 2045/78/42
f 67/75/43 70/79/43 69/73/43
f 2044/77/44 2046/76/44 2047/80/44
f 73/81/45 72/82/45 71/83/45
f 2050/84/46 2048/85/46 2049/86/46
f 71/83/47 74/87/47 73/81/47
f 2048/85/48 2050/84/48 2051/88/48
f 77/89/49 76/90/49 75/91/49
f 2054/92/50 2052/93/50 2053/94/50
f 75/91/51 54/95/51 77/89/51
f 2052/93/52 2054/92/52 2032/96/52
f 80/97/53 79/98/53 78/99/53
f 2057/100/54 2055/101/54 2056/102/54
f 78/103/55 81/104/55 80/105/55
f 2055/106/56 2057/107/56 2058/108/56
f 84/109/57 83/110/57 82/111/57
f 2061/112/58 2059/113/58 2060/114/58
f 82/111/59 85/115/59 84/109/59
f 2059/113/60 2061/112/60 2062/116/60
f 88/117/61 87/118/61 86/119/61
f 2065/120/62 2063/121/62 2064/122/62
f 86/119/63 89/123/63 88/117/63
f 2063/121/64 2065/120/64 2066/124/64
f 92/125/65 91/126/65 90/127/65
f 2069/128/66 2067/129/66 2068/130/66
f 90/127/67 93/131/67 92/125/67
f 2067/129/68 2069/128/68 2070/132/68
f 96/133/69 95/134/69 94/135/69
f 2073/136/70 2071/137/70 2072/138/70
f 94/135/71 97/139/71 96/133/71
f 2071/137/72 2073/136/72 2074/140/72
f 100/141/73 99/142/73 98/143/73
f 2077/144/74 2075/145/74 2076/146/74
f 98/143/75 101/147/75 100/141/75
f 2075/148/76 2077/149/76 2078/150/76
f 104/151/77 103/152/77 102/153/77
f 2081/154/78 2079/155/78 2080/156/78
f 102/153/79 105/157/79 104/151/79
f 2079/155/80 2081/154/80 2082/158/80
f 108/159/81 107/160/81 106/161/81
f 2085/162/82 2083/163/82 2084/164/82
f 106/161/83 109/165/83 108/159/83
f 2083/163/84 2085/162/84 2086/166/84
f 112/167/85 111/168/85 110/169/85
f 2089/170/86 2087/171/86 2088/172/86
f 110/169/87 113/173/87 112/167/87
f 2087/171/88 2089/170/88 2090/174/88
f 116/175/89 115/176/89 114/177/89
f 2093/178/90 2091/179/90 2092/180/90
f 114/177/91 117/181/91 116/175/91
f 2091/179/92 2093/178/92 2094/182/92
f 120/183/93 119/184/93 118/185/93
f 120/183/94 2095/186/94 2096/187/94
f 118/185/95 121/188/95 120/183/95
f 2095/186/96 120/183/96 121/188/96
f 124/189/97 123/190/97 122/191/97
f 2099/192/98 2097/193/98 2098/194/98
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f 1094/6083/7757 1082/6082/7757 1091/3027/7757
f 3052/3037/7758 3049/3029/7758 3040/2991/7758
f 1087/3003/7759 1090/3020/7759 1098/3047/7759
f 3045/3006/7760 3056/3050/7760 3048/6081/7760
f 1084/2997/7761 1098/3047/7761 1100/3061/7761
f 3042/2999/7762 3058/6084/7762 3056/3050/7762
f 1100/3061/7763 1099/3051/7763 1085/3001/7763
f 3058/6084/7764 3043/3002/7764 3057/6085/7764
f 1086/3004/7765 1087/3003/7765 1098/3047/7765
f 3044/3008/7766 3056/3050/7766 3045/3006/7766
f 1096/3041/7767 1088/3013/7767 1089/3012/7767
f 3054/3042/7768 3047/3016/7768 3046/3015/7768
f 1087/3003/7769 1096/3041/7769 1090/3020/7769
f 3045/3006/7770 3048/6081/7770 3054/3042/7770
f 1100/3061/7771 1098/3047/7771 1090/3020/7771
f 3058/6084/7772 3048/6081/7772 3056/3050/7772
f 1100/3061/7773 1085/3001/7773 1084/2997/7773
f 3058/6084/7774 3042/2999/7774 3043/3002/7774
================================================
FILE: smpl_models/my_smpl_00781_4_all.pkl
================================================
[File too large to display: 32.1 MB]
================================================
FILE: smpl_models/my_smpl_00781_4_all_template_w_tex_uv_001.pkl
================================================
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p27
tp28
bs.
================================================
FILE: smpl_models/my_smpl_data_00781_4_all.pkl
================================================
(dp0
S'eigenvalues'
p1
cnumpy.core.multiarray
_reconstruct
p2
(cnumpy
ndarray
p3
(I0
tp4
S'b'
p5
tp6
Rp7
(I1
(I41
tp8
cnumpy
dtype
p9
(S'f8'
p10
I0
I1
tp11
Rp12
(I3
S'<'
p13
NNNI-1
I-1
I0
tp14
bI00
S'M\xca\x03\x06(?^@\xd6]Z\x8fB\xa79@\xfdl\xa4iO$\x18@\xb7\xa0\x1b\xe2\xf1%\x08@\xcd\x1bA2\xa82\x07@\xd6\x94\xc4\xec\xd3~\xeb?\x1a\n\xdf*\x83\xe2\xe5?\x18w@\x9b@J\xdc?"Nxx\x84\x1b\xd1?\xb0\xea\x9e\x82-\xda\xc9?\x99\xd6S\xd2%-\xc5?u\x80\xf8e\t\x1b\xbb?og\td\x1b>\xb7?\x18\xc0w\xa5\xb2P\xb3?j\x89\xe4\xf7\xb5\xa2\xa8?>\xf7\xba\xb76m\xa6?\xb7\xe8|B\x10o\xa3?\x1a\x81H\xf9J\xd8\x9b?A\x86Z\xb5ZV\x97?\x87cI\xdfS\xc9\x95?\x97\xd4,cT1\x90?"\x18\xb2\xee\xe8#\x8d?\xa5D\xd1\x18\xc1H\x8b?c\x834\x89\x15\xd5\x84?\xe5\xea[9\x1d\xe4\x82?\xfb\xa1\xb7\xe6\xa6G\x81?\x86_\xc4h-\t\x7f?\xfc\x15\xb9\xa3\x9b\xe6x?p\xcd\xf3t\x1c9w?j\xe69\x97\xa3\xc0q?\xe3\xe2\xc1\x0f\x86\xabU?\xe6\xe5q/\x9b?T?c[\x8dV\x1a\x86L?\x81\\^9lRG?\xfa\x99Ie+\xeeC?\xa4`\xce\xf3\xad\xb7B?\xda\x12\xdcd\xa4\x1aA?\xa2\xcep\xe4\x08\x019?,0HGFb6?\x8a\xb0\xbc\xd8\x8dz1?\xc5\xc9V\x8e\xee\xc2\xf39'
p15
tp16
bsS'cluster_cov'
p17
(lp18
g2
(g3
(I0
tp19
g5
tp20
Rp21
(I1
(I41
I41
tp22
g12
I00
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p61
tp62
bsS'shape_space_std'
p63
g2
(g3
(I0
tp64
g5
tp65
Rp66
(I1
(I41
tp67
g12
I00
S'\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?\x00\x00\x00\x00\x00\x00\xf0?'
p68
tp69
bs.
================================================
FILE: smpl_models/symIdx.pkl
================================================
cnumpy.core.multiarray
_reconstruct
p0
(cnumpy
ndarray
p1
(I0
tp2
S'b'
p3
tp4
Rp5
(I1
(I3889
tp6
cnumpy
dtype
p7
(S'i8'
p8
I0
I1
tp9
Rp10
(I3
S'<'
p11
NNNI-1
I-1
I0
tp12
bI00
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p13
tp14
b.
================================================
FILE: testset_shape_experiments_crops.py
================================================
bboxes = {'804454c0-4f2f-407a-a4fa-d2b38a88d50c_female_96c17794-e32d-4aa4-943a-193e17426ce5_right': [731,517,2540,2472],
'804454c0-4f2f-407a-a4fa-d2b38a88d50c_female_a32bba34-6394-4828-b393-ca3bd6dc8a1d_frontright': [ 907,498,2192,2437],
'804454c0-4f2f-407a-a4fa-d2b38a88d50c_female_c8c8725f-c828-448e-b7d0-dc46b44845a7_right': [ 1297,1138,1419,1467],
'804454c0-4f2f-407a-a4fa-d2b38a88d50c_female_ec96f780-7ca6-44ab-9f69-b03db4edddd5_backright': [ 890,791,2626,1833],
'0997705e-b62a-4e67-a26f-1003dc9c9885_male_3e8faee7-14f6-43ab-b0ad-4125bcd83d50_backright': [ 4514,1858,667,534],
'0997705e-b62a-4e67-a26f-1003dc9c9885_male_8be8ddec-7243-4742-90ba-e7a507126ac5_right': [ 990,1274,1823,1076],
'0997705e-b62a-4e67-a26f-1003dc9c9885_male_63c278cb-7709-4bb9-8c6c-8cb19daca7be_right': [ 513,881,2729,1893],
'0997705e-b62a-4e67-a26f-1003dc9c9885_male_561bf724-30a2-48bc-8d9b-161b67bc23f7_right': [ 786,396,3816,2503],
'1766160f-4c0e-4339-aca7-8696d513128c_male_75f7b7bd-292a-4324-9ac0-1446afb5088f_frontright': [ 1304,624,2214,2760],
'1766160f-4c0e-4339-aca7-8696d513128c_male_7576fd8c-6147-47ac-a2cb-5dce5f9cba5b_right': [ 203,895,3240,2299],
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'1766160f-4c0e-4339-aca7-8696d513128c_male_e30e5c1e-6b8e-4f42-b71b-5f82d2dc7893_right': [ 1871,1502,1354,1155],
'87342141-d805-4dd9-a039-85298dadd114_male_4e011113-b18f-43b3-ac0c-066f8e65226e_backright': [ 555,1238,1356,1119],
'87342141-d805-4dd9-a039-85298dadd114_male_9cda05c8-fd4c-4f82-b2c5-df9c19ebb35e_backright': [ 934,577,2128,1756],
'87342141-d805-4dd9-a039-85298dadd114_male_26ad8026-912f-47db-8f73-4ed2d52bafc7_right': [ 126,382,3023,2158],
'87342141-d805-4dd9-a039-85298dadd114_male_c6fbb95d-1bb9-4ffa-b9e9-a31cf42b8f8a_right': [ 656,911,3200,2432],
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'91434363-8289-4b85-846d-9f03167fcb65_female_8f2fa5da-94ea-418a-8446-494f86bdeed4_right': [ 2326,1389,1333,1180],
'91434363-8289-4b85-846d-9f03167fcb65_female_824c7c06-bce5-4398-a643-4da8dd3bc5dc_frontright': [ 1094,1070,1528,1794],
'91434363-8289-4b85-846d-9f03167fcb65_female_e3217dfa-24c7-4ff9-8380-5168c47ec8a5_right': [ 1976,1443,1694,1402],
'98647983-cf14-412e-9578-5e81fab26b1c_male_3e391253-166a-4ae1-89f5-6fa3a388f313_right': [ 191,1980,2007,1170],
'98647983-cf14-412e-9578-5e81fab26b1c_male_9d1fd6e7-c89a-4bb1-9bda-0b182402b787_right': [ 1040,2058,1697,1203],
'98647983-cf14-412e-9578-5e81fab26b1c_male_325f6e4f-d0d7-4252-a548-1ad9c6308bd1_backright': [ 756,884,2354,1899],
'98647983-cf14-412e-9578-5e81fab26b1c_male_c91ed650-23c4-438a-8d7f-0a3d5b46b66a_backright': [ 267,2430,992,788],
'a2da6f46-3874-40af-8746-bf4e3ef7554e_male_8ffb4168-d544-400a-99be-4d503537c7d8_frontright': [ 1388,940,1755,1680],
'a2da6f46-3874-40af-8746-bf4e3ef7554e_male_90ab26d7-b5bc-44c5-8938-ca79111126b7_right': [ 1871,1389,1786,968],
'a2da6f46-3874-40af-8746-bf4e3ef7554e_male_502d847b-2e6c-470f-96c0-e3136017e955_backright': [ 1457,2152,1286,1076],
'a2da6f46-3874-40af-8746-bf4e3ef7554e_male_bfc73241-9006-4b34-90f4-b0324d18e8a0_right': [ 1548,990,2289,1678],
'a3dad54e-8272-49d7-80ec-b5288fcf785a_male_5f077133-76ba-4991-bac1-cb7e2fe8fb36_backright': [ 1068,349,2294,2256],
'a3dad54e-8272-49d7-80ec-b5288fcf785a_male_bfee5370-cdcf-4e9f-a684-f3da1efdca89_frontright': [ 878,789,2012,1785],
'a3dad54e-8272-49d7-80ec-b5288fcf785a_male_f3cc82e5-a21b-438e-a18d-3a0a1c8db9a2_right': [ 260,932,3545,2398],
'a3dad54e-8272-49d7-80ec-b5288fcf785a_male_3d95e135-99e0-4c85-826f-d48b641efa72_right': [1729,1252,1762,1219],
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'a4c5b7d5-743f-45b2-ba88-80a18579e7ae_male_b05154df-0ed6-4a64-bf82-90c0e328823b_backright': [ 659,1489,988,1023],
'a10bfc93-53f0-4b49-8b6f-c269cdb8f578_male_3cd95f8a-c732-4944-88d2-efc0d436d11f_frontright': [ 1202,1821,1000,717],
'a10bfc93-53f0-4b49-8b6f-c269cdb8f578_male_9f6c762f-6b11-4fc4-a4b9-5c22dad7be5c_backright': [ 2473,1694,1994,1732],
'a10bfc93-53f0-4b49-8b6f-c269cdb8f578_male_334b8ed6-59e2-4120-af32-27c808525755_frontright': [ 1796,940,1531,1384],
'a10bfc93-53f0-4b49-8b6f-c269cdb8f578_male_d89b8f3d-65f5-4b64-934e-c7429d03a7c5_backright': [ 797,1231,1432,1437],
'a19af578-ddab-4262-b3a2-1fa7d148cf73_male_8c3913d2-cf5a-45ba-b5d3-eebe1fe8bc19_frontright': [ 2083,1284,1418,1671],
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'a19af578-ddab-4262-b3a2-1fa7d148cf73_male_2334cb48-d3bb-4357-b906-a440723501ac_right': [ 1106,650,3171,2644],
'a19af578-ddab-4262-b3a2-1fa7d148cf73_male_e2976db8-6f3f-4c5d-96aa-2f16e3825565_right': [ 220,665,3614,2602],
'a878893d-e170-420e-886c-1d2e54412fa5_male_4e379424-33ee-470e-b343-608cdeda3345_frontright': [ 833,913,2715,2118],
'a878893d-e170-420e-886c-1d2e54412fa5_male_47ac33b8-0a31-41ff-bc70-1e84df855e99_frontright': [ 1509,1053,1731,1555],
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'a878893d-e170-420e-886c-1d2e54412fa5_male_92ed204e-2bb3-4098-8227-6425e2ac5d67_right': [ 1211,959,3571,2256],
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'ad967d6f-6aaa-4956-a45d-36c47c01c885_male_fb0387fb-07fe-40ed-818b-0c75a73bdb4c_right': [ 1075,310,3236,3084],
'ae6fa164-a791-446b-b884-1d90712cf910_female_0fb493d3-574d-432a-b9a1-518ea4aa4cb6_right': [ 568,480,607,541],
'ae6fa164-a791-446b-b884-1d90712cf910_female_5e13ccda-c37c-407b-ac7d-98c489631c2f_right': [ 1827,415,2400,2108],
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'af274e18-e9c0-4671-948e-824492cd6975_female_2f3518d2-ac2d-48b9-9333-95e9675502e9_right': [1487,1632,1536,1046],
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'af274e18-e9c0-4671-948e-824492cd6975_female_a2a7ed84-ebec-457f-a0a9-598f6b162124_right': [ 841,702,2431,1502],
'af274e18-e9c0-4671-948e-824492cd6975_female_d7fa4727-d75a-4d89-b600-514fa3121ad5_right': [ 1014,929,2381,1647],
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'b816506f-2565-43df-b235-0ef5565d41b1_female_34ede827-dc05-4771-857a-cf50c90c7538_right': [ 816,767,2764,2070],
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'c9c84086-ef3b-4e9b-b7e5-4ff6776650f1_male_351bf5c9-07c9-4db8-87b0-a816f16a11b5_right': [ 2137,1897,1715,1508],
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}
================================================
FILE: utils/__init__.py
================================================
================================================
FILE: utils/geometry.py
================================================
"""
Geometry stuff.
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import numpy as np
def triangle_direction_intersection(tri, trg):
'''
Finds where an origin-centered ray going in direction trg intersects a triangle.
Args:
tri: 3 X 3 vertex locations. tri[0, :] is 0th vertex.
Returns:
alpha, beta, gamma
'''
p0 = np.copy(tri[0, :])
# Don't normalize
d1 = np.copy(tri[1, :]) - p0;
d2 = np.copy(tri[2, :]) - p0;
d = trg / np.linalg.norm(trg)
mat = np.stack([d1, d2, d], axis=1)
try:
inv_mat = np.linalg.inv(mat)
except np.linalg.LinAlgError:
return False, 0
# inv_mat = np.linalg.inv(mat)
a_b_mg = -1*np.matmul(inv_mat, p0)
is_valid = (a_b_mg[0] >= 0) and (a_b_mg[1] >= 0) and ((a_b_mg[0] + a_b_mg[1]) <= 1) and (a_b_mg[2] < 0)
if is_valid:
return True, -a_b_mg[2]*d
else:
return False, 0
def project_verts_on_mesh(verts, mesh_verts, mesh_faces):
verts_out = np.copy(verts)
for nv in range(verts.shape[0]):
max_norm = 0
vert = np.copy(verts_out[nv, :])
for f in range(mesh_faces.shape[0]):
face = mesh_faces[f]
tri = mesh_verts[face, :]
# is_v=True if it does intersect and returns the point
is_v, pt = triangle_direction_intersection(tri, vert)
# Take the furthest away intersection point
if is_v and np.linalg.norm(pt) > max_norm:
max_norm = np.linalg.norm(pt)
verts_out[nv, :] = pt
return verts_out
================================================
FILE: utils/image.py
================================================
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import cv2
import numpy as np
def resize_img(img, scale_factor):
new_size = (np.round(np.array(img.shape[:2]) * scale_factor)).astype(int)
new_img = cv2.resize(img, (new_size[1], new_size[0]))
# This is scale factor of [height, width] i.e. [y, x]
actual_factor = [new_size[0] / float(img.shape[0]),
new_size[1] / float(img.shape[1])]
return new_img, actual_factor
def peturb_bbox(bbox, pf=0, jf=0):
'''
Jitters and pads the input bbox.
Args:
bbox: Zero-indexed tight bbox.
pf: padding fraction.
jf: jittering fraction.
Returns:
pet_bbox: Jittered and padded box. Might have -ve or out-of-image coordinates
'''
pet_bbox = [coord for coord in bbox]
bwidth = bbox[2] - bbox[0] + 1
bheight = bbox[3] - bbox[1] + 1
pet_bbox[0] -= (pf*bwidth) + (1-2*np.random.random())*jf*bwidth
pet_bbox[1] -= (pf*bheight) + (1-2*np.random.random())*jf*bheight
pet_bbox[2] += (pf*bwidth) + (1-2*np.random.random())*jf*bwidth
pet_bbox[3] += (pf*bheight) + (1-2*np.random.random())*jf*bheight
return pet_bbox
def square_bbox(bbox):
'''
Converts a bbox to have a square shape by increasing size along non-max dimension.
'''
sq_bbox = [int(round(coord)) for coord in bbox]
bwidth = sq_bbox[2] - sq_bbox[0] + 1
bheight = sq_bbox[3] - sq_bbox[1] + 1
maxdim = float(max(bwidth, bheight))
dw_b_2 = int(round((maxdim-bwidth)/2.0))
dh_b_2 = int(round((maxdim-bheight)/2.0))
sq_bbox[0] -= dw_b_2
sq_bbox[1] -= dh_b_2
sq_bbox[2] = sq_bbox[0] + maxdim - 1
sq_bbox[3] = sq_bbox[1] + maxdim - 1
return sq_bbox
def crop(img, bbox, bgval=None):
'''
Crops a region from the image corresponding to the bbox.
If some regions specified go outside the image boundaries, the pixel values are set to bgval.
Args:
img: image to crop
bbox: bounding box to crop
bgval: default background for regions outside image; if none add random noise
'''
bbox = [int(round(c)) for c in bbox]
bwidth = bbox[2] - bbox[0] + 1
bheight = bbox[3] - bbox[1] + 1
im_shape = np.shape(img)
im_h, im_w = im_shape[0], im_shape[1]
nc = 1 if len(im_shape) < 3 else im_shape[2]
if bgval is None or bgval < 0:
img_out = np.random.rand(bheight, bwidth, nc)
else:
img_out = np.ones((bheight, bwidth, nc))*bgval
x_min_src = max(0, bbox[0])
x_max_src = min(im_w, bbox[2]+1)
y_min_src = max(0, bbox[1])
y_max_src = min(im_h, bbox[3]+1)
x_min_trg = x_min_src - bbox[0]
x_max_trg = x_max_src - x_min_src + x_min_trg
y_min_trg = y_min_src - bbox[1]
y_max_trg = y_max_src - y_min_src + y_min_trg
img_out[y_min_trg:y_max_trg, x_min_trg:x_max_trg, :] = img[y_min_src:y_max_src, x_min_src:x_max_src, :]
return img_out
def compute_dt(mask):
"""
Computes distance transform of mask.
"""
from scipy.ndimage import distance_transform_edt
dist = distance_transform_edt(1-mask) / max(mask.shape)
return dist
def compute_dt_barrier(mask, k=50):
"""
Computes barrier distance transform of mask.
"""
from scipy.ndimage import distance_transform_edt
dist_out = distance_transform_edt(1-mask)
dist_in = distance_transform_edt(mask)
dist_diff = (dist_out - dist_in) / max(mask.shape)
dist = 1. / (1 + np.exp(k * -dist_diff))
return dist
================================================
FILE: utils/mesh.py
================================================
"""
Mesh stuff.
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import numpy as np
import meshzoo
import torch
from ..utils.obj2nmr import obj2nmr_uvmap
def from_img_to_nmr(texture_map, ft, vt, tex_size):
uv_map = obj2nmr_uvmap(ft, vt, tex_size=tex_size)
if len(texture_map.shape) == 3:
uv_img = uv_img.permute(1,2,0)
nmr_texture = sample_texture(uv_map, uv_img)
else:
uv_img = uv_img.permute(0,2,3,1)
nmr_texture = sample_textures(uv_map, uv_img)
return nmr_texture
def from_uvflow_to_img(imgs, uv_flows):
uv_flows = uv_flows.permute(0, 2, 3, 1)
uv_images = torch.nn.functional.grid_sample(imgs, uv_flows)
return uv_images
def sample_texture(uv_map, uv_img):
F, T = uv_map.shape[:2]
# H x W x 3 -> 1 x 3 x H x W
uv_img = np.transpose(uv_img[None, :], (0, 3, 1, 2))
# Pytorch-fy
uv_map_t = torch.Tensor(uv_map).cuda()
uv_img_t = torch.Tensor(uv_img).cuda()
# make 1 x F x T x T x 2 -> 1 x F x T*T x 2
uv_map_t = uv_map_t[None, :].view(1, F, T * T, 2)
# 1 x 3 x F x T*T
textures = torch.nn.functional.grid_sample(uv_img_t,
uv_map_t.view(1, F, T * T, 2))
# 1 x 3 x F x T x T --> 1 x F x T x T x 3
textures = textures.view(-1, 3, F, T, T).permute(0, 2, 3, 4, 1)
# Repeat it to make it 1 x F x T x T x 3
textures = textures.unsqueeze(4).repeat(1, 1, 1, 1, T, 1)
return textures
def sample_textures(texture_flow, images):
"""
texture_flow: B x F x T x T x 2
(In normalized coordinate [-1, 1])
images: B x 3 x N x N
output: B x F x T x T x 3
"""
# Reshape into B x F x T*T x 2
T = texture_flow.size(-2)
F = texture_flow.size(1)
flow_grid = texture_flow.view(-1, F, T * T, 2)
# B x 3 x F x T*T
samples = torch.nn.functional.grid_sample(images, flow_grid)
# B x 3 x F x T x T
samples = samples.view(-1, 3, F, T, T)
# B x F x T x T x 3
return samples.permute(0, 2, 3, 4, 1)
def create_sphere(n_subdivide=3):
# 3 makes 642 verts, 1280 faces,
# 4 makes 2562 verts, 5120 faces
verts, faces = meshzoo.iso_sphere(n_subdivide)
return verts, faces
def make_symmetric(verts, faces, left_inds, right_inds, center_inds):
"""
Assumes that the input mesh {V,F} is perfectly symmetric
Splits the mesh along the X-axis, and reorders the mesh s.t.
(so this is reflection on Y-axis..?)
[indept verts, right (x>0) verts, left verts]
v[:num_indept + num_sym] = A
v[:-num_sym] = -A[num_indept:]
"""
# Silvia
axis = 1
'''
left = verts[:, axis] < 0
right = verts[:, axis] > 0
center = verts[:, axis] == 0
left_inds = np.where(left)[0]
right_inds = np.where(right)[0]
center_inds = np.where(center)[0]
'''
num_indept = len(center_inds)
num_sym = len(left_inds)
try:
assert(len(left_inds) == len(right_inds))
except:
import pdb; pdb.set_trace()
# For each right verts, find the corresponding left verts.
# Silvia prop_left_inds = np.hstack([np.where(np.all(verts == np.array([-1, 1, 1]) * verts[ri], 1))[0] for ri in right_inds])
#prop_left_inds = np.hstack([np.where(np.all(verts == np.array([1, -1, 1]) * verts[ri], 1))[0] for ri in right_inds])
prop_left_inds = left_inds
assert(prop_left_inds.shape[0] == num_sym)
# Make sure right/left order are symmetric.
for ind, (ri, li) in enumerate(zip(right_inds, prop_left_inds)):
# Silvia if np.any(verts[ri] != np.array([-1, 1, 1]) * verts[li]):
#if np.any(verts[ri] != np.array([1, -1, 1]) * verts[li]):
if np.any(np.abs(verts[ri] - np.array([1, -1, 1]) * verts[li])>1e-07):
print('bad! %d' % ind)
import ipdb; ipdb.set_trace()
new_order = np.hstack([center_inds, right_inds, prop_left_inds])
# verts i is now vert j
ind_perm = np.hstack([np.where(new_order==i)[0] for i in range(verts.shape[0])])
new_verts = verts[new_order, :]
new_faces0 = ind_perm[faces]
new_faces, num_indept_faces, num_sym_faces = make_faces_symmetric(new_verts, new_faces0, num_indept, num_sym)
return new_verts, new_faces, num_indept, num_sym, num_indept_faces, num_sym_faces
def make_faces_symmetric(verts, faces, num_indept_verts, num_sym_verts):
"""
This reorders the faces, such that it has this order:
F_indept - independent face ids
F_right (x>0)
F_left
1. For each face, identify whether it's independent or has a symmetric face.
A face is independent, if v_i is an independent vertex and if the other two v_j, v_k are the symmetric pairs.
Otherwise, there are two kinds of symmetric faces:
- v_i is indept, v_j, v_k are not the symmetric paris)
- all three have symmetric counter verts.
Returns a new set of faces that is in the above order.
Also, the symmetric face pairs are reordered so that the vertex order is the same.
i.e. verts[f_id] and verts[f_id_sym] is in the same vertex order, except the x coord are flipped
"""
DRAW = False
indept_faces = []
right_faces = []
left_faces = []
indept_verts = verts[:num_indept_verts]
symmetric_verts = verts[num_indept_verts:]
# These are symmetric pairs
right_ids = np.arange(num_indept_verts, num_indept_verts+num_sym_verts)
left_ids = np.arange(num_indept_verts+num_sym_verts, num_indept_verts+2*num_sym_verts)
# Make this for easy lookup
# Saves for each vert_id, the symmetric vert_ids
v_dict = {}
for r_id, l_id in zip(right_ids, left_ids):
v_dict[r_id] = l_id
v_dict[l_id] = r_id
# Return itself for indepentnet.
for ind in range(num_indept_verts):
v_dict[ind] = ind
# Saves faces that contain this verts
verts2faces = [np.where((faces == v_id).any(axis=1))[0] for v_id in range(verts.shape[0])]
done_face = np.zeros(faces.shape[0])
# Make faces symmetric:
for f_id in range(faces.shape[0]):
if done_face[f_id]:
continue
v_ids = sorted(faces[f_id])
# This is triangles x [x,y,z]
vs = verts[v_ids]
# Find the corresponding vs?
v_sym_ids = sorted([v_dict[v_id] for v_id in v_ids])
# Check if it's independent
if sorted(v_sym_ids) == sorted(v_ids):
# Independent!!
indept_faces.append(faces[f_id])
# indept_faces.append(f_id)
done_face[f_id] = 1
else:
# Find the face with these verts. (so we can mark it done)
possible_faces = np.hstack([verts2faces[v_id] for v_id in v_sym_ids])
possible_fids, counts = np.unique(possible_faces, return_counts=True)
# The face id is the one that appears 3 times in this list.
sym_fid = possible_fids[counts == 3][0]
assert(sorted(v_sym_ids) == sorted(faces[sym_fid]))
# Make sure that the order of these vertices are the same.
# Go in the order of face: f_id
face_here = faces[f_id]
sym_face_here = [v_dict[v_id] for v_id in face_here]
# Above is the same tri as faces[sym_fid], but vertices are in the order of faces[f_id]
# Which one is right x > 0?
# Only use unique verts in these faces to compute.
unique_vids = np.array(v_ids) != np.array(v_sym_ids)
if np.all(verts[face_here][unique_vids, 0] < verts[sym_face_here][unique_vids, 0]):
# f_id is left
left_faces.append(face_here)
right_faces.append(sym_face_here)
else:
left_faces.append(sym_face_here)
right_faces.append(face_here)
done_face[f_id] = 1
done_face[sym_fid] = 1
# Draw
# tri_sym = Mesh(verts[v_sym_ids], [[0, 1, 2]], vc='red')
# mv.set_dynamic_meshes([mesh, tri, tri_sym])
assert(len(left_faces) + len(right_faces) + len(indept_faces) == faces.shape[0])
# Now concatenate them,,
if len(indept_faces) > 0:
new_faces = np.vstack([indept_faces, right_faces, left_faces])
else:
new_faces = np.vstack([right_faces, left_faces])
# Now sort each row of new_faces to make sure that bary centric coord will be same.
num_indept_faces = len(indept_faces)
num_sym_faces = len(right_faces)
return new_faces, num_indept_faces, num_sym_faces
def compute_edges2verts(verts, faces):
"""
Returns a list: [A, B, C, D] the 4 vertices for each edge.
"""
edge_dict = {}
for face_id, (face) in enumerate(faces):
for e1, e2, o_id in [(0, 1, 2), (0, 2, 1), (1, 2, 0)]:
edge = tuple(sorted((face[e1], face[e2])))
other_v = face[o_id]
if edge not in edge_dict.keys():
edge_dict[edge] = [other_v]
else:
if other_v not in edge_dict[edge]:
edge_dict[edge].append(other_v)
result = np.stack([np.hstack((edge, other_vs)) for edge, other_vs in edge_dict.items()])
return result
def compute_vert2kp(verts, mean_shape):
# verts: N x 3
# mean_shape: 3 x K (K=15)
#
# computes vert2kp: K x N matrix by picking NN to each point in mean_shape.
if mean_shape.shape[0] == 3:
# Make it K x 3
mean_shape = mean_shape.T
num_kp = mean_shape.shape[1]
nn_inds = [np.argmin(np.linalg.norm(verts - pt, axis=1)) for pt in mean_shape]
dists = np.stack([np.linalg.norm(verts - verts[nn_ind], axis=1) for nn_ind in nn_inds])
vert2kp = -.5*(dists)/.01
return vert2kp
def get_spherical_coords(X):
# X is N x 3
rad = np.linalg.norm(X, axis=1)
# Inclination
theta = np.arccos(X[:, 2] / rad)
# Azimuth
phi = np.arctan2(X[:, 1], X[:, 0])
# Normalize both to be between [-1, 1]
vv = (theta / np.pi) * 2 - 1
uu = ((phi + np.pi) / (2*np.pi)) * 2 - 1
# Return N x 2
return np.stack([uu, vv],1)
def compute_uvsampler_sphere(verts, faces, tex_size=2):
"""
For this mesh, pre-computes the UV coordinates for
F x T x T points.
Returns F x T x T x 2
"""
alpha = np.arange(tex_size, dtype=np.float) / (tex_size-1)
beta = np.arange(tex_size, dtype=np.float) / (tex_size-1)
import itertools
# Barycentric coordinate values
coords = np.stack([p for p in itertools.product(*[alpha, beta])])
vs = verts[faces]
# Compute alpha, beta (this is the same order as NMR)
v2 = vs[:, 2]
v0v2 = vs[:, 0] - vs[:, 2]
v1v2 = vs[:, 1] - vs[:, 2]
# F x 3 x T*2
samples = np.dstack([v0v2, v1v2]).dot(coords.T) + v2.reshape(-1, 3, 1)
# F x T*2 x 3 points on the sphere
samples = np.transpose(samples, (0, 2, 1))
# Now convert these to uv.
uv = get_spherical_coords(samples.reshape(-1, 3))
# uv = uv.reshape(-1, len(coords), 2)
uv = uv.reshape(-1, tex_size, tex_size, 2)
return uv
def compute_uvsampler(verts, faces, vt, ft, tex_size=2):
"""
For this mesh, pre-computes the UV coordinates for
F x T x T points.
Returns F x T x T x 2
"""
uv = obj2nmr_uvmap(ft, vt, tex_size=tex_size)
uv = uv.reshape(-1, tex_size, tex_size, 2)
return uv
def append_obj(mf_handle, vertices, faces):
for vx in range(vertices.shape[0]):
mf_handle.write('v {:f} {:f} {:f}\n'.format(vertices[vx, 0], vertices[vx, 1], vertices[vx, 2]))
for fx in range(faces.shape[0]):
mf_handle.write('f {:d} {:d} {:d}\n'.format(faces[fx, 0], faces[fx, 1], faces[fx, 2]))
return
================================================
FILE: utils/obj2nmr.py
================================================
"""
Helper for converting obj (vt, ft) texture to NMR texture format.
To use NMR, we need to supply a uv_map (F x T x T x 2).
T is a sampling factor on each triangle.
Given this w can sample from an UV image and texture the map.
SMAL already has it's own custom UV map (set via blender).
This is loaded in 'template_w_tex_uv.obj'.
This stores the UV map in the standard ft and vt format of obj, where
vt: for each vertex, it stores the uv coordinate.
ft: for each face, this holds the index into vt
i.e.
uv_map_for_verts = mesh.vt[mesh.ft]
This is same as F x T x T x 2 value where T = 1 (only the vertices have color).
So we need to compute the UV coordinates of the samples on each triangle.
We do this by interpolating with barycentric coordinates.
Other small things to note are that obj reads y [1-0],
not [0-1] like in image space.
"""
import numpy as np
def obj2nmr_uvmap(ft, vt, tex_size=6):
"""
Converts obj uv_map to NMR uv_map (F x T x T x 2),
where tex_size (T) is the sample rate on each face.
"""
# This is F x 3 x 2
uv_map_for_verts = vt[ft]
# obj's y coordinate is [1-0], but image is [0-1]
uv_map_for_verts[:, :, 1] = 1 - uv_map_for_verts[:, :, 1]
# range [0, 1] -> [-1, 1]
uv_map_for_verts = (2 * uv_map_for_verts) - 1
alpha = np.arange(tex_size, dtype=np.float) / (tex_size - 1)
beta = np.arange(tex_size, dtype=np.float) / (tex_size - 1)
import itertools
# Barycentric coordinate values
coords = np.stack([p for p in itertools.product(*[alpha, beta])])
# Compute alpha, beta (this is the same order as NMR)
v2 = uv_map_for_verts[:, 2]
v0v2 = uv_map_for_verts[:, 0] - uv_map_for_verts[:, 2]
v1v2 = uv_map_for_verts[:, 1] - uv_map_for_verts[:, 2]
# Interpolate the vertex uv values: F x 2 x T*2
uv_map = np.dstack([v0v2, v1v2]).dot(coords.T) + v2.reshape(-1, 2, 1)
# F x T*2 x 2 -> F x T x T x 2
uv_map = np.transpose(uv_map, (0, 2, 1)).reshape(-1, tex_size, tex_size, 2)
return uv_map
================================================
FILE: utils/smal_vis.py
================================================
"""
Visualization helpers specific to birds.
"""
from __future__ import absolute_import
from __future__ import division
from __future__ import print_function
import torch
from torch.autograd import Variable
import numpy as np
import cv2
from ..nnutils.nmr import NeuralRenderer
from ..utils import transformations
class VisRenderer(object):
"""
Utility to render meshes using pytorch NMR
faces are F x 3 or 1 x F x 3 numpy
"""
def __init__(self, img_size, faces, proj_type, norm_f, norm_z, norm_f0, t_size=3):
self.renderer = NeuralRenderer(img_size, proj_type, norm_f, norm_z, norm_f0)
# By default white background
self.set_bgcolor([1., 1., 1.])
self.faces = Variable(
torch.IntTensor(faces).cuda(), requires_grad=False)
if self.faces.dim() == 2:
self.faces = torch.unsqueeze(self.faces, 0)
default_tex = np.ones((1, self.faces.shape[1], t_size, t_size, t_size,
3))
blue = np.array([156, 199, 234.]) / 255.
blue = np.array([101, 142, 162.]) / 255.
# Color for optimization results
#blue = np.array([234, 156, 199.]) / 255. # purple for optimization
default_tex = default_tex * blue
# Could make each triangle different color
self.default_tex = Variable(
torch.FloatTensor(default_tex).cuda(), requires_grad=False)
cam = np.array([2000., 128, 128])
self.default_cam = Variable(
torch.FloatTensor(cam).cuda(), requires_grad=False)
self.default_cam = torch.unsqueeze(self.default_cam, 0)
def __call__(self, verts, cams=None, texture=None, rend_mask=False):
"""
verts is |V| x 3 cuda torch Variable
cams is 7, cuda torch Variable
Returns N x N x 3 numpy
"""
if texture is None:
texture = self.default_tex
elif texture.dim() == 5:
# Here input it F x T x T x T x 3 (instead of F x T x T x 3)
# So add batch dim.
texture = torch.unsqueeze(texture, 0)
if cams is None:
cams = self.default_cam
elif cams.dim() == 1:
cams = torch.unsqueeze(cams, 0)
if verts.dim() == 2:
verts = torch.unsqueeze(verts, 0)
verts = asVariable(verts)
cams = asVariable(cams)
texture = asVariable(texture)
if rend_mask:
rend = self.renderer.forward(verts, self.faces, cams)
rend = rend.repeat(3, 1, 1)
rend = rend.unsqueeze(0)
else:
rend = self.renderer.forward(verts, self.faces, cams, texture)
rend = rend.data.cpu().numpy()[0].transpose((1, 2, 0))
rend = np.clip(rend, 0, 1) * 255.0
return rend.astype(np.uint8)
def rotated(self, vert, deg, axis=[0, 1, 0], cam=None, texture=None):
"""
vert is N x 3, torch FloatTensor (or Variable)
"""
import cv2
new_rot = cv2.Rodrigues(np.deg2rad(deg) * np.array(axis))[0]
new_rot = convert_as(torch.FloatTensor(new_rot), vert)
center = vert.mean(0)
new_vert = torch.t(torch.matmul(new_rot,
torch.t(vert - center))) + center
return self.__call__(new_vert, cams=cam, texture=texture)
def set_bgcolor(self, color):
self.renderer.set_bgcolor(color)
def set_light_dir(self, direction, int_dir=0.8, int_amb=0.8):
renderer = self.renderer.renderer.renderer
renderer.light_direction = direction
renderer.light_intensity_directional = int_dir
renderer.light_intensity_ambient = int_amb
def asVariable(x):
if type(x) is not torch.autograd.Variable:
x = Variable(x, requires_grad=False)
return x
def convert_as(src, trg):
src = src.type_as(trg)
if src.is_cuda:
src = src.cuda(device=trg.get_device())
if type(trg) is torch.autograd.Variable:
src = Variable(src, requires_grad=False)
return src
def convert2np(x):
# import ipdb; ipdb.set_trace()
# if type(x) is torch.autograd.Variable:
# x = x.data
# Assumes x is gpu tensor..
if type(x) is not np.ndarray:
return x.cpu().numpy()
return x
def tensor2mask(image_tensor, imtype=np.uint8):
# Input is H x W
image_numpy = image_tensor.cpu().float().numpy()
image_numpy = np.expand_dims(image_numpy, 2) * 255.0
image_numpy = np.tile(image_numpy, (1, 1, 3))
return image_numpy.astype(imtype)
def kp2im(kp, img, radius=None):
"""
Input is numpy array or torch.cuda.Tensor
img can be H x W, H x W x C, or C x H x W
kp is |KP| x 2
"""
kp_norm = convert2np(kp)
img = convert2np(img)
if img.ndim == 2:
img = np.dstack((img, ) * 3)
# Make it H x W x C:
elif img.shape[0] == 1 or img.shape[0] == 3:
img = np.transpose(img, (1, 2, 0))
if img.shape[2] == 1: # Gray2RGB for H x W x 1
img = np.dstack((img, ) * 3)
# kp_norm is still in [-1, 1], converts it to image coord.
kp = (kp_norm[:, :2] + 1) * 0.5 * img.shape[0]
if kp_norm.shape[1] == 3:
vis = kp_norm[:, 2] > 0
kp[~vis] = 0
kp = np.hstack((kp, vis.reshape(-1, 1)))
else:
vis = np.ones((kp.shape[0], 1))
kp = np.hstack((kp, vis))
kp_img = draw_kp(kp, img, radius=radius)
return kp_img
def draw_kp(kp, img, radius=None):
"""
kp is 15 x 2 or 3 numpy.
img can be either RGB or Gray
Draws bird points.
"""
if radius is None:
radius = max(4, (np.mean(img.shape[:2]) * 0.01).astype(int))
num_kp = kp.shape[0]
# Generate colors
import pylab
cm = pylab.get_cmap('gist_rainbow')
colors = 255 * np.array([cm(1. * i / num_kp)[:3] for i in range(num_kp)])
white = np.ones(3) * 255
image = img.copy()
if isinstance(image.reshape(-1)[0], np.float32):
# Convert to 255 and np.uint8 for cv2..
image = (image * 255).astype(np.uint8)
kp = np.round(kp).astype(int)
for kpi, color in zip(kp, colors):
# This sometimes causes OverflowError,,
if kpi[2] == 0:
continue
cv2.circle(image, (kpi[0], kpi[1]), radius + 1, white, -1)
cv2.circle(image, (kpi[0], kpi[1]), radius, color, -1)
# import matplotlib.pyplot as plt
# plt.ion()
# plt.clf()
# plt.imshow(image)
# import ipdb; ipdb.set_trace()
return image
def vis_verts(mean_shape, verts, face, mvs=None, textures=None):
"""
mean_shape: N x 3
verts: B x N x 3
face: numpy F x 3
textures: B x F x T x T (x T) x 3
"""
from psbody.mesh.mesh import Mesh
from psbody.mesh.meshviewer import MeshViewers
if mvs is None:
mvs = MeshViewers((2, 3))
num_row = len(mvs)
num_col = len(mvs[0])
mean_shape = convert2np(mean_shape)
verts = convert2np(verts)
num_show = min(num_row * num_col, verts.shape[0] + 1)
mvs[0][0].set_dynamic_meshes([Mesh(mean_shape, face)])
# 0th is mean shape:
if textures is not None:
tex = convert2np(textures)
for k in np.arange(1, num_show):
vert_here = verts[k - 1]
if textures is not None:
tex_here = tex[k - 1]
fc = tex_here.reshape(tex_here.shape[0], -1, 3).mean(axis=1)
mesh = Mesh(vert_here, face, fc=fc)
else:
mesh = Mesh(vert_here, face)
mvs[int(k % num_row)][int(k / num_row)].set_dynamic_meshes([mesh])
def vis_vert2kp(verts, vert2kp, face, mvs=None):
"""
verts: N x 3
vert2kp: K x N
For each keypoint, visualize its weights on each vertex.
Base color is white, pick a color for each kp.
Using the weights, interpolate between base and color.
"""
from psbody.mesh.mesh import Mesh
from psbody.mesh.meshviewer import MeshViewer, MeshViewers
from psbody.mesh.sphere import Sphere
num_kp = vert2kp.shape[0]
if mvs is None:
mvs = MeshViewers((4, 4))
# mv = MeshViewer()
# Generate colors
import pylab
cm = pylab.get_cmap('gist_rainbow')
cms = 255 * np.array([cm(1. * i / num_kp)[:3] for i in range(num_kp)])
base = np.zeros((1, 3)) * 255
# base = np.ones((1, 3)) * 255
verts = convert2np(verts)
vert2kp = convert2np(vert2kp)
num_row = len(mvs)
num_col = len(mvs[0])
colors = []
for k in range(num_kp):
# Nx1 for this kp.
weights = vert2kp[k].reshape(-1, 1)
# So we can see it,,
weights = weights / weights.max()
cm = cms[k, None]
# Simple linear interpolation,,
# cs = np.uint8((1-weights) * base + weights * cm)
# In [0, 1]
cs = ((1 - weights) * base + weights * cm) / 255.
colors.append(cs)
# sph = [Sphere(center=jc, radius=.03).to_mesh(c/255.) for jc, c in zip(vert,cs)]
# mvs[int(k/4)][k%4].set_dynamic_meshes(sph)
mvs[int(k % num_row)][int(k / num_row)].set_dynamic_meshes(
[Mesh(verts, face, vc=cs)])
def tensor2im(image_tensor, imtype=np.uint8, scale_to_range_1=False):
image_numpy = image_tensor.cpu().float().numpy()
image_numpy = np.transpose(image_numpy, (1, 2, 0))
if scale_to_range_1:
image_numpy = image_numpy - np.min(image_numpy, axis=2, keepdims=True)
image_numpy = image_numpy / np.max(image_numpy)
else:
# Clip to [0, 1]
image_numpy = np.clip(image_numpy, 0, 1)
return (image_numpy * 255).astype(imtype)
def visflow(flow_img):
# H x W x 2
flow_img = convert2np(flow_img)
from matplotlib import cm
x_img = flow_img[:, :, 0]
def color_within_01(vals):
# vals is Nx1 in [-1, 1] (but could be larger)
vals = np.clip(vals, -1, 1)
# make [0, 1]
vals = (vals + 1) / 2.
# Append dummy end vals for consistent coloring
weights = np.hstack([vals, np.array([0, 1])])
# Drop the dummy colors
colors = cm.plasma(weights)[:-2, :3]
return colors
# x_color = cm.plasma(x_img.reshape(-1))[:, :3]
x_color = color_within_01(x_img.reshape(-1))
x_color = x_color.reshape([x_img.shape[0], x_img.shape[1], 3])
y_img = flow_img[:, :, 1]
# y_color = cm.plasma(y_img.reshape(-1))[:, :3]
y_color = color_within_01(y_img.reshape(-1))
y_color = y_color.reshape([y_img.shape[0], y_img.shape[1], 3])
vis = np.vstack([x_color, y_color])
# import matplotlib.pyplot as plt
# plt.ion()
# plt.imshow(x_color)
return vis
def visflow_jonas(flow_img, img_size):
from ..utils.viz_flow import viz_flow
# H x W x 2
flow = convert2np(flow_img)
# viz_flow expects the top left to be zero.
# Conver to image coord
flow = (flow + 1) * 0.5 * img_size
flow_img = viz_flow(flow[:, :, 1], flow[:, :, 0])
return flow_img
================================================
FILE: utils/transformations.py
================================================
# -*- coding: utf-8 -*-
# transformations.py
# Copyright (c) 2006-2017, Christoph Gohlke
# Copyright (c) 2006-2017, The Regents of the University of California
# Produced at the Laboratory for Fluorescence Dynamics
# All rights reserved.
#
# Redistribution and use in source and binary forms, with or without
# modification, are permitted provided that the following conditions are met:
#
# * Redistributions of source code must retain the above copyright
# notice, this list of conditions and the following disclaimer.
# * Redistributions in binary form must reproduce the above copyright
# notice, this list of conditions and the following disclaimer in the
# documentation and/or other materials provided with the distribution.
# * Neither the name of the copyright holders nor the names of any
# contributors may be used to endorse or promote products derived
# from this software without specific prior written permission.
#
# THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
# AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
# IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
# ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
# LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR
# CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF
# SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS
# INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN
# CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE)
# ARISING IN ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE
# POSSIBILITY OF SUCH DAMAGE.
"""Homogeneous Transformation Matrices and Quaternions.
A library for calculating 4x4 matrices for translating, rotating, reflecting,
scaling, shearing, projecting, orthogonalizing, and superimposing arrays of
3D homogeneous coordinates as well as for converting between rotation matrices,
Euler angles, and quaternions. Also includes an Arcball control object and
functions to decompose transformation matrices.
:Author:
`Christoph Gohlke `_
:Organization:
Laboratory for Fluorescence Dynamics, University of California, Irvine
:Version: 2017.02.17
Requirements
------------
* `CPython 2.7 or 3.5 `_
* `Numpy 1.11 `_
* `Transformations.c 2017.02.17 `_
(recommended for speedup of some functions)
Notes
-----
The API is not stable yet and is expected to change between revisions.
This Python code is not optimized for speed. Refer to the transformations.c
module for a faster implementation of some functions.
Documentation in HTML format can be generated with epydoc.
Matrices (M) can be inverted using numpy.linalg.inv(M), be concatenated using
numpy.dot(M0, M1), or transform homogeneous coordinate arrays (v) using
numpy.dot(M, v) for shape (4, \*) column vectors, respectively
numpy.dot(v, M.T) for shape (\*, 4) row vectors ("array of points").
This module follows the "column vectors on the right" and "row major storage"
(C contiguous) conventions. The translation components are in the right column
of the transformation matrix, i.e. M[:3, 3].
The transpose of the transformation matrices may have to be used to interface
with other graphics systems, e.g. with OpenGL's glMultMatrixd(). See also [16].
Calculations are carried out with numpy.float64 precision.
Vector, point, quaternion, and matrix function arguments are expected to be
"array like", i.e. tuple, list, or numpy arrays.
Return types are numpy arrays unless specified otherwise.
Angles are in radians unless specified otherwise.
Quaternions w+ix+jy+kz are represented as [w, x, y, z].
A triple of Euler angles can be applied/interpreted in 24 ways, which can
be specified using a 4 character string or encoded 4-tuple:
*Axes 4-string*: e.g. 'sxyz' or 'ryxy'
- first character : rotations are applied to 's'tatic or 'r'otating frame
- remaining characters : successive rotation axis 'x', 'y', or 'z'
*Axes 4-tuple*: e.g. (0, 0, 0, 0) or (1, 1, 1, 1)
- inner axis: code of axis ('x':0, 'y':1, 'z':2) of rightmost matrix.
- parity : even (0) if inner axis 'x' is followed by 'y', 'y' is followed
by 'z', or 'z' is followed by 'x'. Otherwise odd (1).
- repetition : first and last axis are same (1) or different (0).
- frame : rotations are applied to static (0) or rotating (1) frame.
Other Python packages and modules for 3D transformations and quaternions:
* `Transforms3d `_
includes most code of this module.
* `Blender.mathutils `_
* `numpy-dtypes `_
References
----------
(1) Matrices and transformations. Ronald Goldman.
In "Graphics Gems I", pp 472-475. Morgan Kaufmann, 1990.
(2) More matrices and transformations: shear and pseudo-perspective.
Ronald Goldman. In "Graphics Gems II", pp 320-323. Morgan Kaufmann, 1991.
(3) Decomposing a matrix into simple transformations. Spencer Thomas.
In "Graphics Gems II", pp 320-323. Morgan Kaufmann, 1991.
(4) Recovering the data from the transformation matrix. Ronald Goldman.
In "Graphics Gems II", pp 324-331. Morgan Kaufmann, 1991.
(5) Euler angle conversion. Ken Shoemake.
In "Graphics Gems IV", pp 222-229. Morgan Kaufmann, 1994.
(6) Arcball rotation control. Ken Shoemake.
In "Graphics Gems IV", pp 175-192. Morgan Kaufmann, 1994.
(7) Representing attitude: Euler angles, unit quaternions, and rotation
vectors. James Diebel. 2006.
(8) A discussion of the solution for the best rotation to relate two sets
of vectors. W Kabsch. Acta Cryst. 1978. A34, 827-828.
(9) Closed-form solution of absolute orientation using unit quaternions.
BKP Horn. J Opt Soc Am A. 1987. 4(4):629-642.
(10) Quaternions. Ken Shoemake.
http://www.sfu.ca/~jwa3/cmpt461/files/quatut.pdf
(11) From quaternion to matrix and back. JMP van Waveren. 2005.
http://www.intel.com/cd/ids/developer/asmo-na/eng/293748.htm
(12) Uniform random rotations. Ken Shoemake.
In "Graphics Gems III", pp 124-132. Morgan Kaufmann, 1992.
(13) Quaternion in molecular modeling. CFF Karney.
J Mol Graph Mod, 25(5):595-604
(14) New method for extracting the quaternion from a rotation matrix.
Itzhack Y Bar-Itzhack, J Guid Contr Dynam. 2000. 23(6): 1085-1087.
(15) Multiple View Geometry in Computer Vision. Hartley and Zissermann.
Cambridge University Press; 2nd Ed. 2004. Chapter 4, Algorithm 4.7, p 130.
(16) Column Vectors vs. Row Vectors.
http://steve.hollasch.net/cgindex/math/matrix/column-vec.html
Examples
--------
>>> alpha, beta, gamma = 0.123, -1.234, 2.345
>>> origin, xaxis, yaxis, zaxis = [0, 0, 0], [1, 0, 0], [0, 1, 0], [0, 0, 1]
>>> I = identity_matrix()
>>> Rx = rotation_matrix(alpha, xaxis)
>>> Ry = rotation_matrix(beta, yaxis)
>>> Rz = rotation_matrix(gamma, zaxis)
>>> R = concatenate_matrices(Rx, Ry, Rz)
>>> euler = euler_from_matrix(R, 'rxyz')
>>> numpy.allclose([alpha, beta, gamma], euler)
True
>>> Re = euler_matrix(alpha, beta, gamma, 'rxyz')
>>> is_same_transform(R, Re)
True
>>> al, be, ga = euler_from_matrix(Re, 'rxyz')
>>> is_same_transform(Re, euler_matrix(al, be, ga, 'rxyz'))
True
>>> qx = quaternion_about_axis(alpha, xaxis)
>>> qy = quaternion_about_axis(beta, yaxis)
>>> qz = quaternion_about_axis(gamma, zaxis)
>>> q = quaternion_multiply(qx, qy)
>>> q = quaternion_multiply(q, qz)
>>> Rq = quaternion_matrix(q)
>>> is_same_transform(R, Rq)
True
>>> S = scale_matrix(1.23, origin)
>>> T = translation_matrix([1, 2, 3])
>>> Z = shear_matrix(beta, xaxis, origin, zaxis)
>>> R = random_rotation_matrix(numpy.random.rand(3))
>>> M = concatenate_matrices(T, R, Z, S)
>>> scale, shear, angles, trans, persp = decompose_matrix(M)
>>> numpy.allclose(scale, 1.23)
True
>>> numpy.allclose(trans, [1, 2, 3])
True
>>> numpy.allclose(shear, [0, math.tan(beta), 0])
True
>>> is_same_transform(R, euler_matrix(axes='sxyz', *angles))
True
>>> M1 = compose_matrix(scale, shear, angles, trans, persp)
>>> is_same_transform(M, M1)
True
>>> v0, v1 = random_vector(3), random_vector(3)
>>> M = rotation_matrix(angle_between_vectors(v0, v1), vector_product(v0, v1))
>>> v2 = numpy.dot(v0, M[:3,:3].T)
>>> numpy.allclose(unit_vector(v1), unit_vector(v2))
True
"""
from __future__ import division, print_function
import math
import numpy
__version__ = '2017.02.17'
__docformat__ = 'restructuredtext en'
__all__ = ()
def identity_matrix():
"""Return 4x4 identity/unit matrix.
>>> I = identity_matrix()
>>> numpy.allclose(I, numpy.dot(I, I))
True
>>> numpy.sum(I), numpy.trace(I)
(4.0, 4.0)
>>> numpy.allclose(I, numpy.identity(4))
True
"""
return numpy.identity(4)
def translation_matrix(direction):
"""Return matrix to translate by direction vector.
>>> v = numpy.random.random(3) - 0.5
>>> numpy.allclose(v, translation_matrix(v)[:3, 3])
True
"""
M = numpy.identity(4)
M[:3, 3] = direction[:3]
return M
def translation_from_matrix(matrix):
"""Return translation vector from translation matrix.
>>> v0 = numpy.random.random(3) - 0.5
>>> v1 = translation_from_matrix(translation_matrix(v0))
>>> numpy.allclose(v0, v1)
True
"""
return numpy.array(matrix, copy=False)[:3, 3].copy()
def reflection_matrix(point, normal):
"""Return matrix to mirror at plane defined by point and normal vector.
>>> v0 = numpy.random.random(4) - 0.5
>>> v0[3] = 1.
>>> v1 = numpy.random.random(3) - 0.5
>>> R = reflection_matrix(v0, v1)
>>> numpy.allclose(2, numpy.trace(R))
True
>>> numpy.allclose(v0, numpy.dot(R, v0))
True
>>> v2 = v0.copy()
>>> v2[:3] += v1
>>> v3 = v0.copy()
>>> v2[:3] -= v1
>>> numpy.allclose(v2, numpy.dot(R, v3))
True
"""
normal = unit_vector(normal[:3])
M = numpy.identity(4)
M[:3, :3] -= 2.0 * numpy.outer(normal, normal)
M[:3, 3] = (2.0 * numpy.dot(point[:3], normal)) * normal
return M
def reflection_from_matrix(matrix):
"""Return mirror plane point and normal vector from reflection matrix.
>>> v0 = numpy.random.random(3) - 0.5
>>> v1 = numpy.random.random(3) - 0.5
>>> M0 = reflection_matrix(v0, v1)
>>> point, normal = reflection_from_matrix(M0)
>>> M1 = reflection_matrix(point, normal)
>>> is_same_transform(M0, M1)
True
"""
M = numpy.array(matrix, dtype=numpy.float64, copy=False)
# normal: unit eigenvector corresponding to eigenvalue -1
w, V = numpy.linalg.eig(M[:3, :3])
i = numpy.where(abs(numpy.real(w) + 1.0) < 1e-8)[0]
if not len(i):
raise ValueError("no unit eigenvector corresponding to eigenvalue -1")
normal = numpy.real(V[:, i[0]]).squeeze()
# point: any unit eigenvector corresponding to eigenvalue 1
w, V = numpy.linalg.eig(M)
i = numpy.where(abs(numpy.real(w) - 1.0) < 1e-8)[0]
if not len(i):
raise ValueError("no unit eigenvector corresponding to eigenvalue 1")
point = numpy.real(V[:, i[-1]]).squeeze()
point /= point[3]
return point, normal
def rotation_matrix(angle, direction, point=None):
"""Return matrix to rotate about axis defined by point and direction.
>>> R = rotation_matrix(math.pi/2, [0, 0, 1], [1, 0, 0])
>>> numpy.allclose(numpy.dot(R, [0, 0, 0, 1]), [1, -1, 0, 1])
True
>>> angle = (random.random() - 0.5) * (2*math.pi)
>>> direc = numpy.random.random(3) - 0.5
>>> point = numpy.random.random(3) - 0.5
>>> R0 = rotation_matrix(angle, direc, point)
>>> R1 = rotation_matrix(angle-2*math.pi, direc, point)
>>> is_same_transform(R0, R1)
True
>>> R0 = rotation_matrix(angle, direc, point)
>>> R1 = rotation_matrix(-angle, -direc, point)
>>> is_same_transform(R0, R1)
True
>>> I = numpy.identity(4, numpy.float64)
>>> numpy.allclose(I, rotation_matrix(math.pi*2, direc))
True
>>> numpy.allclose(2, numpy.trace(rotation_matrix(math.pi/2,
... direc, point)))
True
"""
sina = math.sin(angle)
cosa = math.cos(angle)
direction = unit_vector(direction[:3])
# rotation matrix around unit vector
R = numpy.diag([cosa, cosa, cosa])
R += numpy.outer(direction, direction) * (1.0 - cosa)
direction *= sina
R += numpy.array([[ 0.0, -direction[2], direction[1]],
[ direction[2], 0.0, -direction[0]],
[-direction[1], direction[0], 0.0]])
M = numpy.identity(4)
M[:3, :3] = R
if point is not None:
# rotation not around origin
point = numpy.array(point[:3], dtype=numpy.float64, copy=False)
M[:3, 3] = point - numpy.dot(R, point)
return M
def rotation_from_matrix(matrix):
"""Return rotation angle and axis from rotation matrix.
>>> angle = (random.random() - 0.5) * (2*math.pi)
>>> direc = numpy.random.random(3) - 0.5
>>> point = numpy.random.random(3) - 0.5
>>> R0 = rotation_matrix(angle, direc, point)
>>> angle, direc, point = rotation_from_matrix(R0)
>>> R1 = rotation_matrix(angle, direc, point)
>>> is_same_transform(R0, R1)
True
"""
R = numpy.array(matrix, dtype=numpy.float64, copy=False)
R33 = R[:3, :3]
# direction: unit eigenvector of R33 corresponding to eigenvalue of 1
w, W = numpy.linalg.eig(R33.T)
i = numpy.where(abs(numpy.real(w) - 1.0) < 1e-8)[0]
if not len(i):
raise ValueError("no unit eigenvector corresponding to eigenvalue 1")
direction = numpy.real(W[:, i[-1]]).squeeze()
# point: unit eigenvector of R33 corresponding to eigenvalue of 1
w, Q = numpy.linalg.eig(R)
i = numpy.where(abs(numpy.real(w) - 1.0) < 1e-8)[0]
if not len(i):
raise ValueError("no unit eigenvector corresponding to eigenvalue 1")
point = numpy.real(Q[:, i[-1]]).squeeze()
point /= point[3]
# rotation angle depending on direction
cosa = (numpy.trace(R33) - 1.0) / 2.0
if abs(direction[2]) > 1e-8:
sina = (R[1, 0] + (cosa-1.0)*direction[0]*direction[1]) / direction[2]
elif abs(direction[1]) > 1e-8:
sina = (R[0, 2] + (cosa-1.0)*direction[0]*direction[2]) / direction[1]
else:
sina = (R[2, 1] + (cosa-1.0)*direction[1]*direction[2]) / direction[0]
angle = math.atan2(sina, cosa)
return angle, direction, point
def scale_matrix(factor, origin=None, direction=None):
"""Return matrix to scale by factor around origin in direction.
Use factor -1 for point symmetry.
>>> v = (numpy.random.rand(4, 5) - 0.5) * 20
>>> v[3] = 1
>>> S = scale_matrix(-1.234)
>>> numpy.allclose(numpy.dot(S, v)[:3], -1.234*v[:3])
True
>>> factor = random.random() * 10 - 5
>>> origin = numpy.random.random(3) - 0.5
>>> direct = numpy.random.random(3) - 0.5
>>> S = scale_matrix(factor, origin)
>>> S = scale_matrix(factor, origin, direct)
"""
if direction is None:
# uniform scaling
M = numpy.diag([factor, factor, factor, 1.0])
if origin is not None:
M[:3, 3] = origin[:3]
M[:3, 3] *= 1.0 - factor
else:
# nonuniform scaling
direction = unit_vector(direction[:3])
factor = 1.0 - factor
M = numpy.identity(4)
M[:3, :3] -= factor * numpy.outer(direction, direction)
if origin is not None:
M[:3, 3] = (factor * numpy.dot(origin[:3], direction)) * direction
return M
def scale_from_matrix(matrix):
"""Return scaling factor, origin and direction from scaling matrix.
>>> factor = random.random() * 10 - 5
>>> origin = numpy.random.random(3) - 0.5
>>> direct = numpy.random.random(3) - 0.5
>>> S0 = scale_matrix(factor, origin)
>>> factor, origin, direction = scale_from_matrix(S0)
>>> S1 = scale_matrix(factor, origin, direction)
>>> is_same_transform(S0, S1)
True
>>> S0 = scale_matrix(factor, origin, direct)
>>> factor, origin, direction = scale_from_matrix(S0)
>>> S1 = scale_matrix(factor, origin, direction)
>>> is_same_transform(S0, S1)
True
"""
M = numpy.array(matrix, dtype=numpy.float64, copy=False)
M33 = M[:3, :3]
factor = numpy.trace(M33) - 2.0
try:
# direction: unit eigenvector corresponding to eigenvalue factor
w, V = numpy.linalg.eig(M33)
i = numpy.where(abs(numpy.real(w) - factor) < 1e-8)[0][0]
direction = numpy.real(V[:, i]).squeeze()
direction /= vector_norm(direction)
except IndexError:
# uniform scaling
factor = (factor + 2.0) / 3.0
direction = None
# origin: any eigenvector corresponding to eigenvalue 1
w, V = numpy.linalg.eig(M)
i = numpy.where(abs(numpy.real(w) - 1.0) < 1e-8)[0]
if not len(i):
raise ValueError("no eigenvector corresponding to eigenvalue 1")
origin = numpy.real(V[:, i[-1]]).squeeze()
origin /= origin[3]
return factor, origin, direction
def projection_matrix(point, normal, direction=None,
perspective=None, pseudo=False):
"""Return matrix to project onto plane defined by point and normal.
Using either perspective point, projection direction, or none of both.
If pseudo is True, perspective projections will preserve relative depth
such that Perspective = dot(Orthogonal, PseudoPerspective).
>>> P = projection_matrix([0, 0, 0], [1, 0, 0])
>>> numpy.allclose(P[1:, 1:], numpy.identity(4)[1:, 1:])
True
>>> point = numpy.random.random(3) - 0.5
>>> normal = numpy.random.random(3) - 0.5
>>> direct = numpy.random.random(3) - 0.5
>>> persp = numpy.random.random(3) - 0.5
>>> P0 = projection_matrix(point, normal)
>>> P1 = projection_matrix(point, normal, direction=direct)
>>> P2 = projection_matrix(point, normal, perspective=persp)
>>> P3 = projection_matrix(point, normal, perspective=persp, pseudo=True)
>>> is_same_transform(P2, numpy.dot(P0, P3))
True
>>> P = projection_matrix([3, 0, 0], [1, 1, 0], [1, 0, 0])
>>> v0 = (numpy.random.rand(4, 5) - 0.5) * 20
>>> v0[3] = 1
>>> v1 = numpy.dot(P, v0)
>>> numpy.allclose(v1[1], v0[1])
True
>>> numpy.allclose(v1[0], 3-v1[1])
True
"""
M = numpy.identity(4)
point = numpy.array(point[:3], dtype=numpy.float64, copy=False)
normal = unit_vector(normal[:3])
if perspective is not None:
# perspective projection
perspective = numpy.array(perspective[:3], dtype=numpy.float64,
copy=False)
M[0, 0] = M[1, 1] = M[2, 2] = numpy.dot(perspective-point, normal)
M[:3, :3] -= numpy.outer(perspective, normal)
if pseudo:
# preserve relative depth
M[:3, :3] -= numpy.outer(normal, normal)
M[:3, 3] = numpy.dot(point, normal) * (perspective+normal)
else:
M[:3, 3] = numpy.dot(point, normal) * perspective
M[3, :3] = -normal
M[3, 3] = numpy.dot(perspective, normal)
elif direction is not None:
# parallel projection
direction = numpy.array(direction[:3], dtype=numpy.float64, copy=False)
scale = numpy.dot(direction, normal)
M[:3, :3] -= numpy.outer(direction, normal) / scale
M[:3, 3] = direction * (numpy.dot(point, normal) / scale)
else:
# orthogonal projection
M[:3, :3] -= numpy.outer(normal, normal)
M[:3, 3] = numpy.dot(point, normal) * normal
return M
def projection_from_matrix(matrix, pseudo=False):
"""Return projection plane and perspective point from projection matrix.
Return values are same as arguments for projection_matrix function:
point, normal, direction, perspective, and pseudo.
>>> point = numpy.random.random(3) - 0.5
>>> normal = numpy.random.random(3) - 0.5
>>> direct = numpy.random.random(3) - 0.5
>>> persp = numpy.random.random(3) - 0.5
>>> P0 = projection_matrix(point, normal)
>>> result = projection_from_matrix(P0)
>>> P1 = projection_matrix(*result)
>>> is_same_transform(P0, P1)
True
>>> P0 = projection_matrix(point, normal, direct)
>>> result = projection_from_matrix(P0)
>>> P1 = projection_matrix(*result)
>>> is_same_transform(P0, P1)
True
>>> P0 = projection_matrix(point, normal, perspective=persp, pseudo=False)
>>> result = projection_from_matrix(P0, pseudo=False)
>>> P1 = projection_matrix(*result)
>>> is_same_transform(P0, P1)
True
>>> P0 = projection_matrix(point, normal, perspective=persp, pseudo=True)
>>> result = projection_from_matrix(P0, pseudo=True)
>>> P1 = projection_matrix(*result)
>>> is_same_transform(P0, P1)
True
"""
M = numpy.array(matrix, dtype=numpy.float64, copy=False)
M33 = M[:3, :3]
w, V = numpy.linalg.eig(M)
i = numpy.where(abs(numpy.real(w) - 1.0) < 1e-8)[0]
if not pseudo and len(i):
# point: any eigenvector corresponding to eigenvalue 1
point = numpy.real(V[:, i[-1]]).squeeze()
point /= point[3]
# direction: unit eigenvector corresponding to eigenvalue 0
w, V = numpy.linalg.eig(M33)
i = numpy.where(abs(numpy.real(w)) < 1e-8)[0]
if not len(i):
raise ValueError("no eigenvector corresponding to eigenvalue 0")
direction = numpy.real(V[:, i[0]]).squeeze()
direction /= vector_norm(direction)
# normal: unit eigenvector of M33.T corresponding to eigenvalue 0
w, V = numpy.linalg.eig(M33.T)
i = numpy.where(abs(numpy.real(w)) < 1e-8)[0]
if len(i):
# parallel projection
normal = numpy.real(V[:, i[0]]).squeeze()
normal /= vector_norm(normal)
return point, normal, direction, None, False
else:
# orthogonal projection, where normal equals direction vector
return point, direction, None, None, False
else:
# perspective projection
i = numpy.where(abs(numpy.real(w)) > 1e-8)[0]
if not len(i):
raise ValueError(
"no eigenvector not corresponding to eigenvalue 0")
point = numpy.real(V[:, i[-1]]).squeeze()
point /= point[3]
normal = - M[3, :3]
perspective = M[:3, 3] / numpy.dot(point[:3], normal)
if pseudo:
perspective -= normal
return point, normal, None, perspective, pseudo
def clip_matrix(left, right, bottom, top, near, far, perspective=False):
"""Return matrix to obtain normalized device coordinates from frustum.
The frustum bounds are axis-aligned along x (left, right),
y (bottom, top) and z (near, far).
Normalized device coordinates are in range [-1, 1] if coordinates are
inside the frustum.
If perspective is True the frustum is a truncated pyramid with the
perspective point at origin and direction along z axis, otherwise an
orthographic canonical view volume (a box).
Homogeneous coordinates transformed by the perspective clip matrix
need to be dehomogenized (divided by w coordinate).
>>> frustum = numpy.random.rand(6)
>>> frustum[1] += frustum[0]
>>> frustum[3] += frustum[2]
>>> frustum[5] += frustum[4]
>>> M = clip_matrix(perspective=False, *frustum)
>>> numpy.dot(M, [frustum[0], frustum[2], frustum[4], 1])
array([-1., -1., -1., 1.])
>>> numpy.dot(M, [frustum[1], frustum[3], frustum[5], 1])
array([ 1., 1., 1., 1.])
>>> M = clip_matrix(perspective=True, *frustum)
>>> v = numpy.dot(M, [frustum[0], frustum[2], frustum[4], 1])
>>> v / v[3]
array([-1., -1., -1., 1.])
>>> v = numpy.dot(M, [frustum[1], frustum[3], frustum[4], 1])
>>> v / v[3]
array([ 1., 1., -1., 1.])
"""
if left >= right or bottom >= top or near >= far:
raise ValueError("invalid frustum")
if perspective:
if near <= _EPS:
raise ValueError("invalid frustum: near <= 0")
t = 2.0 * near
M = [[t/(left-right), 0.0, (right+left)/(right-left), 0.0],
[0.0, t/(bottom-top), (top+bottom)/(top-bottom), 0.0],
[0.0, 0.0, (far+near)/(near-far), t*far/(far-near)],
[0.0, 0.0, -1.0, 0.0]]
else:
M = [[2.0/(right-left), 0.0, 0.0, (right+left)/(left-right)],
[0.0, 2.0/(top-bottom), 0.0, (top+bottom)/(bottom-top)],
[0.0, 0.0, 2.0/(far-near), (far+near)/(near-far)],
[0.0, 0.0, 0.0, 1.0]]
return numpy.array(M)
def shear_matrix(angle, direction, point, normal):
"""Return matrix to shear by angle along direction vector on shear plane.
The shear plane is defined by a point and normal vector. The direction
vector must be orthogonal to the plane's normal vector.
A point P is transformed by the shear matrix into P" such that
the vector P-P" is parallel to the direction vector and its extent is
given by the angle of P-P'-P", where P' is the orthogonal projection
of P onto the shear plane.
>>> angle = (random.random() - 0.5) * 4*math.pi
>>> direct = numpy.random.random(3) - 0.5
>>> point = numpy.random.random(3) - 0.5
>>> normal = numpy.cross(direct, numpy.random.random(3))
>>> S = shear_matrix(angle, direct, point, normal)
>>> numpy.allclose(1, numpy.linalg.det(S))
True
"""
normal = unit_vector(normal[:3])
direction = unit_vector(direction[:3])
if abs(numpy.dot(normal, direction)) > 1e-6:
raise ValueError("direction and normal vectors are not orthogonal")
angle = math.tan(angle)
M = numpy.identity(4)
M[:3, :3] += angle * numpy.outer(direction, normal)
M[:3, 3] = -angle * numpy.dot(point[:3], normal) * direction
return M
def shear_from_matrix(matrix):
"""Return shear angle, direction and plane from shear matrix.
>>> angle = (random.random() - 0.5) * 4*math.pi
>>> direct = numpy.random.random(3) - 0.5
>>> point = numpy.random.random(3) - 0.5
>>> normal = numpy.cross(direct, numpy.random.random(3))
>>> S0 = shear_matrix(angle, direct, point, normal)
>>> angle, direct, point, normal = shear_from_matrix(S0)
>>> S1 = shear_matrix(angle, direct, point, normal)
>>> is_same_transform(S0, S1)
True
"""
M = numpy.array(matrix, dtype=numpy.float64, copy=False)
M33 = M[:3, :3]
# normal: cross independent eigenvectors corresponding to the eigenvalue 1
w, V = numpy.linalg.eig(M33)
i = numpy.where(abs(numpy.real(w) - 1.0) < 1e-4)[0]
if len(i) < 2:
raise ValueError("no two linear independent eigenvectors found %s" % w)
V = numpy.real(V[:, i]).squeeze().T
lenorm = -1.0
for i0, i1 in ((0, 1), (0, 2), (1, 2)):
n = numpy.cross(V[i0], V[i1])
w = vector_norm(n)
if w > lenorm:
lenorm = w
normal = n
normal /= lenorm
# direction and angle
direction = numpy.dot(M33 - numpy.identity(3), normal)
angle = vector_norm(direction)
direction /= angle
angle = math.atan(angle)
# point: eigenvector corresponding to eigenvalue 1
w, V = numpy.linalg.eig(M)
i = numpy.where(abs(numpy.real(w) - 1.0) < 1e-8)[0]
if not len(i):
raise ValueError("no eigenvector corresponding to eigenvalue 1")
point = numpy.real(V[:, i[-1]]).squeeze()
point /= point[3]
return angle, direction, point, normal
def decompose_matrix(matrix):
"""Return sequence of transformations from transformation matrix.
matrix : array_like
Non-degenerative homogeneous transformation matrix
Return tuple of:
scale : vector of 3 scaling factors
shear : list of shear factors for x-y, x-z, y-z axes
angles : list of Euler angles about static x, y, z axes
translate : translation vector along x, y, z axes
perspective : perspective partition of matrix
Raise ValueError if matrix is of wrong type or degenerative.
>>> T0 = translation_matrix([1, 2, 3])
>>> scale, shear, angles, trans, persp = decompose_matrix(T0)
>>> T1 = translation_matrix(trans)
>>> numpy.allclose(T0, T1)
True
>>> S = scale_matrix(0.123)
>>> scale, shear, angles, trans, persp = decompose_matrix(S)
>>> scale[0]
0.123
>>> R0 = euler_matrix(1, 2, 3)
>>> scale, shear, angles, trans, persp = decompose_matrix(R0)
>>> R1 = euler_matrix(*angles)
>>> numpy.allclose(R0, R1)
True
"""
M = numpy.array(matrix, dtype=numpy.float64, copy=True).T
if abs(M[3, 3]) < _EPS:
raise ValueError("M[3, 3] is zero")
M /= M[3, 3]
P = M.copy()
P[:, 3] = 0.0, 0.0, 0.0, 1.0
if not numpy.linalg.det(P):
raise ValueError("matrix is singular")
scale = numpy.zeros((3, ))
shear = [0.0, 0.0, 0.0]
angles = [0.0, 0.0, 0.0]
if any(abs(M[:3, 3]) > _EPS):
perspective = numpy.dot(M[:, 3], numpy.linalg.inv(P.T))
M[:, 3] = 0.0, 0.0, 0.0, 1.0
else:
perspective = numpy.array([0.0, 0.0, 0.0, 1.0])
translate = M[3, :3].copy()
M[3, :3] = 0.0
row = M[:3, :3].copy()
scale[0] = vector_norm(row[0])
row[0] /= scale[0]
shear[0] = numpy.dot(row[0], row[1])
row[1] -= row[0] * shear[0]
scale[1] = vector_norm(row[1])
row[1] /= scale[1]
shear[0] /= scale[1]
shear[1] = numpy.dot(row[0], row[2])
row[2] -= row[0] * shear[1]
shear[2] = numpy.dot(row[1], row[2])
row[2] -= row[1] * shear[2]
scale[2] = vector_norm(row[2])
row[2] /= scale[2]
shear[1:] /= scale[2]
if numpy.dot(row[0], numpy.cross(row[1], row[2])) < 0:
numpy.negative(scale, scale)
numpy.negative(row, row)
angles[1] = math.asin(-row[0, 2])
if math.cos(angles[1]):
angles[0] = math.atan2(row[1, 2], row[2, 2])
angles[2] = math.atan2(row[0, 1], row[0, 0])
else:
# angles[0] = math.atan2(row[1, 0], row[1, 1])
angles[0] = math.atan2(-row[2, 1], row[1, 1])
angles[2] = 0.0
return scale, shear, angles, translate, perspective
def compose_matrix(scale=None, shear=None, angles=None, translate=None,
perspective=None):
"""Return transformation matrix from sequence of transformations.
This is the inverse of the decompose_matrix function.
Sequence of transformations:
scale : vector of 3 scaling factors
shear : list of shear factors for x-y, x-z, y-z axes
angles : list of Euler angles about static x, y, z axes
translate : translation vector along x, y, z axes
perspective : perspective partition of matrix
>>> scale = numpy.random.random(3) - 0.5
>>> shear = numpy.random.random(3) - 0.5
>>> angles = (numpy.random.random(3) - 0.5) * (2*math.pi)
>>> trans = numpy.random.random(3) - 0.5
>>> persp = numpy.random.random(4) - 0.5
>>> M0 = compose_matrix(scale, shear, angles, trans, persp)
>>> result = decompose_matrix(M0)
>>> M1 = compose_matrix(*result)
>>> is_same_transform(M0, M1)
True
"""
M = numpy.identity(4)
if perspective is not None:
P = numpy.identity(4)
P[3, :] = perspective[:4]
M = numpy.dot(M, P)
if translate is not None:
T = numpy.identity(4)
T[:3, 3] = translate[:3]
M = numpy.dot(M, T)
if angles is not None:
R = euler_matrix(angles[0], angles[1], angles[2], 'sxyz')
M = numpy.dot(M, R)
if shear is not None:
Z = numpy.identity(4)
Z[1, 2] = shear[2]
Z[0, 2] = shear[1]
Z[0, 1] = shear[0]
M = numpy.dot(M, Z)
if scale is not None:
S = numpy.identity(4)
S[0, 0] = scale[0]
S[1, 1] = scale[1]
S[2, 2] = scale[2]
M = numpy.dot(M, S)
M /= M[3, 3]
return M
def orthogonalization_matrix(lengths, angles):
"""Return orthogonalization matrix for crystallographic cell coordinates.
Angles are expected in degrees.
The de-orthogonalization matrix is the inverse.
>>> O = orthogonalization_matrix([10, 10, 10], [90, 90, 90])
>>> numpy.allclose(O[:3, :3], numpy.identity(3, float) * 10)
True
>>> O = orthogonalization_matrix([9.8, 12.0, 15.5], [87.2, 80.7, 69.7])
>>> numpy.allclose(numpy.sum(O), 43.063229)
True
"""
a, b, c = lengths
angles = numpy.radians(angles)
sina, sinb, _ = numpy.sin(angles)
cosa, cosb, cosg = numpy.cos(angles)
co = (cosa * cosb - cosg) / (sina * sinb)
return numpy.array([
[ a*sinb*math.sqrt(1.0-co*co), 0.0, 0.0, 0.0],
[-a*sinb*co, b*sina, 0.0, 0.0],
[ a*cosb, b*cosa, c, 0.0],
[ 0.0, 0.0, 0.0, 1.0]])
def affine_matrix_from_points(v0, v1, shear=True, scale=True, usesvd=True):
"""Return affine transform matrix to register two point sets.
v0 and v1 are shape (ndims, \*) arrays of at least ndims non-homogeneous
coordinates, where ndims is the dimensionality of the coordinate space.
If shear is False, a similarity transformation matrix is returned.
If also scale is False, a rigid/Euclidean transformation matrix
is returned.
By default the algorithm by Hartley and Zissermann [15] is used.
If usesvd is True, similarity and Euclidean transformation matrices
are calculated by minimizing the weighted sum of squared deviations
(RMSD) according to the algorithm by Kabsch [8].
Otherwise, and if ndims is 3, the quaternion based algorithm by Horn [9]
is used, which is slower when using this Python implementation.
The returned matrix performs rotation, translation and uniform scaling
(if specified).
>>> v0 = [[0, 1031, 1031, 0], [0, 0, 1600, 1600]]
>>> v1 = [[675, 826, 826, 677], [55, 52, 281, 277]]
>>> affine_matrix_from_points(v0, v1)
array([[ 0.14549, 0.00062, 675.50008],
[ 0.00048, 0.14094, 53.24971],
[ 0. , 0. , 1. ]])
>>> T = translation_matrix(numpy.random.random(3)-0.5)
>>> R = random_rotation_matrix(numpy.random.random(3))
>>> S = scale_matrix(random.random())
>>> M = concatenate_matrices(T, R, S)
>>> v0 = (numpy.random.rand(4, 100) - 0.5) * 20
>>> v0[3] = 1
>>> v1 = numpy.dot(M, v0)
>>> v0[:3] += numpy.random.normal(0, 1e-8, 300).reshape(3, -1)
>>> M = affine_matrix_from_points(v0[:3], v1[:3])
>>> numpy.allclose(v1, numpy.dot(M, v0))
True
More examples in superimposition_matrix()
"""
v0 = numpy.array(v0, dtype=numpy.float64, copy=True)
v1 = numpy.array(v1, dtype=numpy.float64, copy=True)
ndims = v0.shape[0]
if ndims < 2 or v0.shape[1] < ndims or v0.shape != v1.shape:
raise ValueError("input arrays are of wrong shape or type")
# move centroids to origin
t0 = -numpy.mean(v0, axis=1)
M0 = numpy.identity(ndims+1)
M0[:ndims, ndims] = t0
v0 += t0.reshape(ndims, 1)
t1 = -numpy.mean(v1, axis=1)
M1 = numpy.identity(ndims+1)
M1[:ndims, ndims] = t1
v1 += t1.reshape(ndims, 1)
if shear:
# Affine transformation
A = numpy.concatenate((v0, v1), axis=0)
u, s, vh = numpy.linalg.svd(A.T)
vh = vh[:ndims].T
B = vh[:ndims]
C = vh[ndims:2*ndims]
t = numpy.dot(C, numpy.linalg.pinv(B))
t = numpy.concatenate((t, numpy.zeros((ndims, 1))), axis=1)
M = numpy.vstack((t, ((0.0,)*ndims) + (1.0,)))
elif usesvd or ndims != 3:
# Rigid transformation via SVD of covariance matrix
u, s, vh = numpy.linalg.svd(numpy.dot(v1, v0.T))
# rotation matrix from SVD orthonormal bases
R = numpy.dot(u, vh)
if numpy.linalg.det(R) < 0.0:
# R does not constitute right handed system
R -= numpy.outer(u[:, ndims-1], vh[ndims-1, :]*2.0)
s[-1] *= -1.0
# homogeneous transformation matrix
M = numpy.identity(ndims+1)
M[:ndims, :ndims] = R
else:
# Rigid transformation matrix via quaternion
# compute symmetric matrix N
xx, yy, zz = numpy.sum(v0 * v1, axis=1)
xy, yz, zx = numpy.sum(v0 * numpy.roll(v1, -1, axis=0), axis=1)
xz, yx, zy = numpy.sum(v0 * numpy.roll(v1, -2, axis=0), axis=1)
N = [[xx+yy+zz, 0.0, 0.0, 0.0],
[yz-zy, xx-yy-zz, 0.0, 0.0],
[zx-xz, xy+yx, yy-xx-zz, 0.0],
[xy-yx, zx+xz, yz+zy, zz-xx-yy]]
# quaternion: eigenvector corresponding to most positive eigenvalue
w, V = numpy.linalg.eigh(N)
q = V[:, numpy.argmax(w)]
q /= vector_norm(q) # unit quaternion
# homogeneous transformation matrix
M = quaternion_matrix(q)
if scale and not shear:
# Affine transformation; scale is ratio of RMS deviations from centroid
v0 *= v0
v1 *= v1
M[:ndims, :ndims] *= math.sqrt(numpy.sum(v1) / numpy.sum(v0))
# move centroids back
M = numpy.dot(numpy.linalg.inv(M1), numpy.dot(M, M0))
M /= M[ndims, ndims]
return M
def superimposition_matrix(v0, v1, scale=False, usesvd=True):
"""Return matrix to transform given 3D point set into second point set.
v0 and v1 are shape (3, \*) or (4, \*) arrays of at least 3 points.
The parameters scale and usesvd are explained in the more general
affine_matrix_from_points function.
The returned matrix is a similarity or Euclidean transformation matrix.
This function has a fast C implementation in transformations.c.
>>> v0 = numpy.random.rand(3, 10)
>>> M = superimposition_matrix(v0, v0)
>>> numpy.allclose(M, numpy.identity(4))
True
>>> R = random_rotation_matrix(numpy.random.random(3))
>>> v0 = [[1,0,0], [0,1,0], [0,0,1], [1,1,1]]
>>> v1 = numpy.dot(R, v0)
>>> M = superimposition_matrix(v0, v1)
>>> numpy.allclose(v1, numpy.dot(M, v0))
True
>>> v0 = (numpy.random.rand(4, 100) - 0.5) * 20
>>> v0[3] = 1
>>> v1 = numpy.dot(R, v0)
>>> M = superimposition_matrix(v0, v1)
>>> numpy.allclose(v1, numpy.dot(M, v0))
True
>>> S = scale_matrix(random.random())
>>> T = translation_matrix(numpy.random.random(3)-0.5)
>>> M = concatenate_matrices(T, R, S)
>>> v1 = numpy.dot(M, v0)
>>> v0[:3] += numpy.random.normal(0, 1e-9, 300).reshape(3, -1)
>>> M = superimposition_matrix(v0, v1, scale=True)
>>> numpy.allclose(v1, numpy.dot(M, v0))
True
>>> M = superimposition_matrix(v0, v1, scale=True, usesvd=False)
>>> numpy.allclose(v1, numpy.dot(M, v0))
True
>>> v = numpy.empty((4, 100, 3))
>>> v[:, :, 0] = v0
>>> M = superimposition_matrix(v0, v1, scale=True, usesvd=False)
>>> numpy.allclose(v1, numpy.dot(M, v[:, :, 0]))
True
"""
v0 = numpy.array(v0, dtype=numpy.float64, copy=False)[:3]
v1 = numpy.array(v1, dtype=numpy.float64, copy=False)[:3]
return affine_matrix_from_points(v0, v1, shear=False,
scale=scale, usesvd=usesvd)
def euler_matrix(ai, aj, ak, axes='sxyz'):
"""Return homogeneous rotation matrix from Euler angles and axis sequence.
ai, aj, ak : Euler's roll, pitch and yaw angles
axes : One of 24 axis sequences as string or encoded tuple
>>> R = euler_matrix(1, 2, 3, 'syxz')
>>> numpy.allclose(numpy.sum(R[0]), -1.34786452)
True
>>> R = euler_matrix(1, 2, 3, (0, 1, 0, 1))
>>> numpy.allclose(numpy.sum(R[0]), -0.383436184)
True
>>> ai, aj, ak = (4*math.pi) * (numpy.random.random(3) - 0.5)
>>> for axes in _AXES2TUPLE.keys():
... R = euler_matrix(ai, aj, ak, axes)
>>> for axes in _TUPLE2AXES.keys():
... R = euler_matrix(ai, aj, ak, axes)
"""
try:
firstaxis, parity, repetition, frame = _AXES2TUPLE[axes]
except (AttributeError, KeyError):
_TUPLE2AXES[axes] # validation
firstaxis, parity, repetition, frame = axes
i = firstaxis
j = _NEXT_AXIS[i+parity]
k = _NEXT_AXIS[i-parity+1]
if frame:
ai, ak = ak, ai
if parity:
ai, aj, ak = -ai, -aj, -ak
si, sj, sk = math.sin(ai), math.sin(aj), math.sin(ak)
ci, cj, ck = math.cos(ai), math.cos(aj), math.cos(ak)
cc, cs = ci*ck, ci*sk
sc, ss = si*ck, si*sk
M = numpy.identity(4)
if repetition:
M[i, i] = cj
M[i, j] = sj*si
M[i, k] = sj*ci
M[j, i] = sj*sk
M[j, j] = -cj*ss+cc
M[j, k] = -cj*cs-sc
M[k, i] = -sj*ck
M[k, j] = cj*sc+cs
M[k, k] = cj*cc-ss
else:
M[i, i] = cj*ck
M[i, j] = sj*sc-cs
M[i, k] = sj*cc+ss
M[j, i] = cj*sk
M[j, j] = sj*ss+cc
M[j, k] = sj*cs-sc
M[k, i] = -sj
M[k, j] = cj*si
M[k, k] = cj*ci
return M
def euler_from_matrix(matrix, axes='sxyz'):
"""Return Euler angles from rotation matrix for specified axis sequence.
axes : One of 24 axis sequences as string or encoded tuple
Note that many Euler angle triplets can describe one matrix.
>>> R0 = euler_matrix(1, 2, 3, 'syxz')
>>> al, be, ga = euler_from_matrix(R0, 'syxz')
>>> R1 = euler_matrix(al, be, ga, 'syxz')
>>> numpy.allclose(R0, R1)
True
>>> angles = (4*math.pi) * (numpy.random.random(3) - 0.5)
>>> for axes in _AXES2TUPLE.keys():
... R0 = euler_matrix(axes=axes, *angles)
... R1 = euler_matrix(axes=axes, *euler_from_matrix(R0, axes))
... if not numpy.allclose(R0, R1): print(axes, "failed")
"""
try:
firstaxis, parity, repetition, frame = _AXES2TUPLE[axes.lower()]
except (AttributeError, KeyError):
_TUPLE2AXES[axes] # validation
firstaxis, parity, repetition, frame = axes
i = firstaxis
j = _NEXT_AXIS[i+parity]
k = _NEXT_AXIS[i-parity+1]
M = numpy.array(matrix, dtype=numpy.float64, copy=False)[:3, :3]
if repetition:
sy = math.sqrt(M[i, j]*M[i, j] + M[i, k]*M[i, k])
if sy > _EPS:
ax = math.atan2( M[i, j], M[i, k])
ay = math.atan2( sy, M[i, i])
az = math.atan2( M[j, i], -M[k, i])
else:
ax = math.atan2(-M[j, k], M[j, j])
ay = math.atan2( sy, M[i, i])
az = 0.0
else:
cy = math.sqrt(M[i, i]*M[i, i] + M[j, i]*M[j, i])
if cy > _EPS:
ax = math.atan2( M[k, j], M[k, k])
ay = math.atan2(-M[k, i], cy)
az = math.atan2( M[j, i], M[i, i])
else:
ax = math.atan2(-M[j, k], M[j, j])
ay = math.atan2(-M[k, i], cy)
az = 0.0
if parity:
ax, ay, az = -ax, -ay, -az
if frame:
ax, az = az, ax
return ax, ay, az
def euler_from_quaternion(quaternion, axes='sxyz'):
"""Return Euler angles from quaternion for specified axis sequence.
>>> angles = euler_from_quaternion([0.99810947, 0.06146124, 0, 0])
>>> numpy.allclose(angles, [0.123, 0, 0])
True
"""
return euler_from_matrix(quaternion_matrix(quaternion), axes)
def quaternion_from_euler(ai, aj, ak, axes='sxyz'):
"""Return quaternion from Euler angles and axis sequence.
ai, aj, ak : Euler's roll, pitch and yaw angles
axes : One of 24 axis sequences as string or encoded tuple
>>> q = quaternion_from_euler(1, 2, 3, 'ryxz')
>>> numpy.allclose(q, [0.435953, 0.310622, -0.718287, 0.444435])
True
"""
try:
firstaxis, parity, repetition, frame = _AXES2TUPLE[axes.lower()]
except (AttributeError, KeyError):
_TUPLE2AXES[axes] # validation
firstaxis, parity, repetition, frame = axes
i = firstaxis + 1
j = _NEXT_AXIS[i+parity-1] + 1
k = _NEXT_AXIS[i-parity] + 1
if frame:
ai, ak = ak, ai
if parity:
aj = -aj
ai /= 2.0
aj /= 2.0
ak /= 2.0
ci = math.cos(ai)
si = math.sin(ai)
cj = math.cos(aj)
sj = math.sin(aj)
ck = math.cos(ak)
sk = math.sin(ak)
cc = ci*ck
cs = ci*sk
sc = si*ck
ss = si*sk
q = numpy.empty((4, ))
if repetition:
q[0] = cj*(cc - ss)
q[i] = cj*(cs + sc)
q[j] = sj*(cc + ss)
q[k] = sj*(cs - sc)
else:
q[0] = cj*cc + sj*ss
q[i] = cj*sc - sj*cs
q[j] = cj*ss + sj*cc
q[k] = cj*cs - sj*sc
if parity:
q[j] *= -1.0
return q
def quaternion_about_axis(angle, axis):
"""Return quaternion for rotation about axis.
>>> q = quaternion_about_axis(0.123, [1, 0, 0])
>>> numpy.allclose(q, [0.99810947, 0.06146124, 0, 0])
True
"""
q = numpy.array([0.0, axis[0], axis[1], axis[2]])
qlen = vector_norm(q)
if qlen > _EPS:
q *= math.sin(angle/2.0) / qlen
q[0] = math.cos(angle/2.0)
return q
def quaternion_matrix(quaternion):
"""Return homogeneous rotation matrix from quaternion.
>>> M = quaternion_matrix([0.99810947, 0.06146124, 0, 0])
>>> numpy.allclose(M, rotation_matrix(0.123, [1, 0, 0]))
True
>>> M = quaternion_matrix([1, 0, 0, 0])
>>> numpy.allclose(M, numpy.identity(4))
True
>>> M = quaternion_matrix([0, 1, 0, 0])
>>> numpy.allclose(M, numpy.diag([1, -1, -1, 1]))
True
"""
q = numpy.array(quaternion, dtype=numpy.float64, copy=True)
n = numpy.dot(q, q)
if n < _EPS:
return numpy.identity(4)
q *= math.sqrt(2.0 / n)
q = numpy.outer(q, q)
return numpy.array([
[1.0-q[2, 2]-q[3, 3], q[1, 2]-q[3, 0], q[1, 3]+q[2, 0], 0.0],
[ q[1, 2]+q[3, 0], 1.0-q[1, 1]-q[3, 3], q[2, 3]-q[1, 0], 0.0],
[ q[1, 3]-q[2, 0], q[2, 3]+q[1, 0], 1.0-q[1, 1]-q[2, 2], 0.0],
[ 0.0, 0.0, 0.0, 1.0]])
def quaternion_from_matrix(matrix, isprecise=False):
"""Return quaternion from rotation matrix.
If isprecise is True, the input matrix is assumed to be a precise rotation
matrix and a faster algorithm is used.
>>> q = quaternion_from_matrix(numpy.identity(4), True)
>>> numpy.allclose(q, [1, 0, 0, 0])
True
>>> q = quaternion_from_matrix(numpy.diag([1, -1, -1, 1]))
>>> numpy.allclose(q, [0, 1, 0, 0]) or numpy.allclose(q, [0, -1, 0, 0])
True
>>> R = rotation_matrix(0.123, (1, 2, 3))
>>> q = quaternion_from_matrix(R, True)
>>> numpy.allclose(q, [0.9981095, 0.0164262, 0.0328524, 0.0492786])
True
>>> R = [[-0.545, 0.797, 0.260, 0], [0.733, 0.603, -0.313, 0],
... [-0.407, 0.021, -0.913, 0], [0, 0, 0, 1]]
>>> q = quaternion_from_matrix(R)
>>> numpy.allclose(q, [0.19069, 0.43736, 0.87485, -0.083611])
True
>>> R = [[0.395, 0.362, 0.843, 0], [-0.626, 0.796, -0.056, 0],
... [-0.677, -0.498, 0.529, 0], [0, 0, 0, 1]]
>>> q = quaternion_from_matrix(R)
>>> numpy.allclose(q, [0.82336615, -0.13610694, 0.46344705, -0.29792603])
True
>>> R = random_rotation_matrix()
>>> q = quaternion_from_matrix(R)
>>> is_same_transform(R, quaternion_matrix(q))
True
>>> is_same_quaternion(quaternion_from_matrix(R, isprecise=False),
... quaternion_from_matrix(R, isprecise=True))
True
>>> R = euler_matrix(0.0, 0.0, numpy.pi/2.0)
>>> is_same_quaternion(quaternion_from_matrix(R, isprecise=False),
... quaternion_from_matrix(R, isprecise=True))
True
"""
M = numpy.array(matrix, dtype=numpy.float64, copy=False)[:4, :4]
if isprecise:
q = numpy.empty((4, ))
t = numpy.trace(M)
if t > M[3, 3]:
q[0] = t
q[3] = M[1, 0] - M[0, 1]
q[2] = M[0, 2] - M[2, 0]
q[1] = M[2, 1] - M[1, 2]
else:
i, j, k = 0, 1, 2
if M[1, 1] > M[0, 0]:
i, j, k = 1, 2, 0
if M[2, 2] > M[i, i]:
i, j, k = 2, 0, 1
t = M[i, i] - (M[j, j] + M[k, k]) + M[3, 3]
q[i] = t
q[j] = M[i, j] + M[j, i]
q[k] = M[k, i] + M[i, k]
q[3] = M[k, j] - M[j, k]
q = q[[3, 0, 1, 2]]
q *= 0.5 / math.sqrt(t * M[3, 3])
else:
m00 = M[0, 0]
m01 = M[0, 1]
m02 = M[0, 2]
m10 = M[1, 0]
m11 = M[1, 1]
m12 = M[1, 2]
m20 = M[2, 0]
m21 = M[2, 1]
m22 = M[2, 2]
# symmetric matrix K
K = numpy.array([[m00-m11-m22, 0.0, 0.0, 0.0],
[m01+m10, m11-m00-m22, 0.0, 0.0],
[m02+m20, m12+m21, m22-m00-m11, 0.0],
[m21-m12, m02-m20, m10-m01, m00+m11+m22]])
K /= 3.0
# quaternion is eigenvector of K that corresponds to largest eigenvalue
w, V = numpy.linalg.eigh(K)
q = V[[3, 0, 1, 2], numpy.argmax(w)]
if q[0] < 0.0:
numpy.negative(q, q)
return q
def quaternion_multiply(quaternion1, quaternion0):
"""Return multiplication of two quaternions.
>>> q = quaternion_multiply([4, 1, -2, 3], [8, -5, 6, 7])
>>> numpy.allclose(q, [28, -44, -14, 48])
True
"""
w0, x0, y0, z0 = quaternion0
w1, x1, y1, z1 = quaternion1
return numpy.array([
-x1*x0 - y1*y0 - z1*z0 + w1*w0,
x1*w0 + y1*z0 - z1*y0 + w1*x0,
-x1*z0 + y1*w0 + z1*x0 + w1*y0,
x1*y0 - y1*x0 + z1*w0 + w1*z0], dtype=numpy.float64)
def quaternion_conjugate(quaternion):
"""Return conjugate of quaternion.
>>> q0 = random_quaternion()
>>> q1 = quaternion_conjugate(q0)
>>> q1[0] == q0[0] and all(q1[1:] == -q0[1:])
True
"""
q = numpy.array(quaternion, dtype=numpy.float64, copy=True)
numpy.negative(q[1:], q[1:])
return q
def quaternion_inverse(quaternion):
"""Return inverse of quaternion.
>>> q0 = random_quaternion()
>>> q1 = quaternion_inverse(q0)
>>> numpy.allclose(quaternion_multiply(q0, q1), [1, 0, 0, 0])
True
"""
q = numpy.array(quaternion, dtype=numpy.float64, copy=True)
numpy.negative(q[1:], q[1:])
return q / numpy.dot(q, q)
def quaternion_real(quaternion):
"""Return real part of quaternion.
>>> quaternion_real([3, 0, 1, 2])
3.0
"""
return float(quaternion[0])
def quaternion_imag(quaternion):
"""Return imaginary part of quaternion.
>>> quaternion_imag([3, 0, 1, 2])
array([ 0., 1., 2.])
"""
return numpy.array(quaternion[1:4], dtype=numpy.float64, copy=True)
def quaternion_slerp(quat0, quat1, fraction, spin=0, shortestpath=True):
"""Return spherical linear interpolation between two quaternions.
>>> q0 = random_quaternion()
>>> q1 = random_quaternion()
>>> q = quaternion_slerp(q0, q1, 0)
>>> numpy.allclose(q, q0)
True
>>> q = quaternion_slerp(q0, q1, 1, 1)
>>> numpy.allclose(q, q1)
True
>>> q = quaternion_slerp(q0, q1, 0.5)
>>> angle = math.acos(numpy.dot(q0, q))
>>> numpy.allclose(2, math.acos(numpy.dot(q0, q1)) / angle) or \
numpy.allclose(2, math.acos(-numpy.dot(q0, q1)) / angle)
True
"""
q0 = unit_vector(quat0[:4])
q1 = unit_vector(quat1[:4])
if fraction == 0.0:
return q0
elif fraction == 1.0:
return q1
d = numpy.dot(q0, q1)
if abs(abs(d) - 1.0) < _EPS:
return q0
if shortestpath and d < 0.0:
# invert rotation
d = -d
numpy.negative(q1, q1)
angle = math.acos(d) + spin * math.pi
if abs(angle) < _EPS:
return q0
isin = 1.0 / math.sin(angle)
q0 *= math.sin((1.0 - fraction) * angle) * isin
q1 *= math.sin(fraction * angle) * isin
q0 += q1
return q0
def random_quaternion(rand=None):
"""Return uniform random unit quaternion.
rand: array like or None
Three independent random variables that are uniformly distributed
between 0 and 1.
>>> q = random_quaternion()
>>> numpy.allclose(1, vector_norm(q))
True
>>> q = random_quaternion(numpy.random.random(3))
>>> len(q.shape), q.shape[0]==4
(1, True)
"""
if rand is None:
rand = numpy.random.rand(3)
else:
assert len(rand) == 3
r1 = numpy.sqrt(1.0 - rand[0])
r2 = numpy.sqrt(rand[0])
pi2 = math.pi * 2.0
t1 = pi2 * rand[1]
t2 = pi2 * rand[2]
return numpy.array([numpy.cos(t2)*r2, numpy.sin(t1)*r1,
numpy.cos(t1)*r1, numpy.sin(t2)*r2])
def random_rotation_matrix(rand=None):
"""Return uniform random rotation matrix.
rand: array like
Three independent random variables that are uniformly distributed
between 0 and 1 for each returned quaternion.
>>> R = random_rotation_matrix()
>>> numpy.allclose(numpy.dot(R.T, R), numpy.identity(4))
True
"""
return quaternion_matrix(random_quaternion(rand))
class Arcball(object):
"""Virtual Trackball Control.
>>> ball = Arcball()
>>> ball = Arcball(initial=numpy.identity(4))
>>> ball.place([320, 320], 320)
>>> ball.down([500, 250])
>>> ball.drag([475, 275])
>>> R = ball.matrix()
>>> numpy.allclose(numpy.sum(R), 3.90583455)
True
>>> ball = Arcball(initial=[1, 0, 0, 0])
>>> ball.place([320, 320], 320)
>>> ball.setaxes([1, 1, 0], [-1, 1, 0])
>>> ball.constrain = True
>>> ball.down([400, 200])
>>> ball.drag([200, 400])
>>> R = ball.matrix()
>>> numpy.allclose(numpy.sum(R), 0.2055924)
True
>>> ball.next()
"""
def __init__(self, initial=None):
"""Initialize virtual trackball control.
initial : quaternion or rotation matrix
"""
self._axis = None
self._axes = None
self._radius = 1.0
self._center = [0.0, 0.0]
self._vdown = numpy.array([0.0, 0.0, 1.0])
self._constrain = False
if initial is None:
self._qdown = numpy.array([1.0, 0.0, 0.0, 0.0])
else:
initial = numpy.array(initial, dtype=numpy.float64)
if initial.shape == (4, 4):
self._qdown = quaternion_from_matrix(initial)
elif initial.shape == (4, ):
initial /= vector_norm(initial)
self._qdown = initial
else:
raise ValueError("initial not a quaternion or matrix")
self._qnow = self._qpre = self._qdown
def place(self, center, radius):
"""Place Arcball, e.g. when window size changes.
center : sequence[2]
Window coordinates of trackball center.
radius : float
Radius of trackball in window coordinates.
"""
self._radius = float(radius)
self._center[0] = center[0]
self._center[1] = center[1]
def setaxes(self, *axes):
"""Set axes to constrain rotations."""
if axes is None:
self._axes = None
else:
self._axes = [unit_vector(axis) for axis in axes]
@property
def constrain(self):
"""Return state of constrain to axis mode."""
return self._constrain
@constrain.setter
def constrain(self, value):
"""Set state of constrain to axis mode."""
self._constrain = bool(value)
def down(self, point):
"""Set initial cursor window coordinates and pick constrain-axis."""
self._vdown = arcball_map_to_sphere(point, self._center, self._radius)
self._qdown = self._qpre = self._qnow
if self._constrain and self._axes is not None:
self._axis = arcball_nearest_axis(self._vdown, self._axes)
self._vdown = arcball_constrain_to_axis(self._vdown, self._axis)
else:
self._axis = None
def drag(self, point):
"""Update current cursor window coordinates."""
vnow = arcball_map_to_sphere(point, self._center, self._radius)
if self._axis is not None:
vnow = arcball_constrain_to_axis(vnow, self._axis)
self._qpre = self._qnow
t = numpy.cross(self._vdown, vnow)
if numpy.dot(t, t) < _EPS:
self._qnow = self._qdown
else:
q = [numpy.dot(self._vdown, vnow), t[0], t[1], t[2]]
self._qnow = quaternion_multiply(q, self._qdown)
def next(self, acceleration=0.0):
"""Continue rotation in direction of last drag."""
q = quaternion_slerp(self._qpre, self._qnow, 2.0+acceleration, False)
self._qpre, self._qnow = self._qnow, q
def matrix(self):
"""Return homogeneous rotation matrix."""
return quaternion_matrix(self._qnow)
def arcball_map_to_sphere(point, center, radius):
"""Return unit sphere coordinates from window coordinates."""
v0 = (point[0] - center[0]) / radius
v1 = (center[1] - point[1]) / radius
n = v0*v0 + v1*v1
if n > 1.0:
# position outside of sphere
n = math.sqrt(n)
return numpy.array([v0/n, v1/n, 0.0])
else:
return numpy.array([v0, v1, math.sqrt(1.0 - n)])
def arcball_constrain_to_axis(point, axis):
"""Return sphere point perpendicular to axis."""
v = numpy.array(point, dtype=numpy.float64, copy=True)
a = numpy.array(axis, dtype=numpy.float64, copy=True)
v -= a * numpy.dot(a, v) # on plane
n = vector_norm(v)
if n > _EPS:
if v[2] < 0.0:
numpy.negative(v, v)
v /= n
return v
if a[2] == 1.0:
return numpy.array([1.0, 0.0, 0.0])
return unit_vector([-a[1], a[0], 0.0])
def arcball_nearest_axis(point, axes):
"""Return axis, which arc is nearest to point."""
point = numpy.array(point, dtype=numpy.float64, copy=False)
nearest = None
mx = -1.0
for axis in axes:
t = numpy.dot(arcball_constrain_to_axis(point, axis), point)
if t > mx:
nearest = axis
mx = t
return nearest
# epsilon for testing whether a number is close to zero
_EPS = numpy.finfo(float).eps * 4.0
# axis sequences for Euler angles
_NEXT_AXIS = [1, 2, 0, 1]
# map axes strings to/from tuples of inner axis, parity, repetition, frame
_AXES2TUPLE = {
'sxyz': (0, 0, 0, 0), 'sxyx': (0, 0, 1, 0), 'sxzy': (0, 1, 0, 0),
'sxzx': (0, 1, 1, 0), 'syzx': (1, 0, 0, 0), 'syzy': (1, 0, 1, 0),
'syxz': (1, 1, 0, 0), 'syxy': (1, 1, 1, 0), 'szxy': (2, 0, 0, 0),
'szxz': (2, 0, 1, 0), 'szyx': (2, 1, 0, 0), 'szyz': (2, 1, 1, 0),
'rzyx': (0, 0, 0, 1), 'rxyx': (0, 0, 1, 1), 'ryzx': (0, 1, 0, 1),
'rxzx': (0, 1, 1, 1), 'rxzy': (1, 0, 0, 1), 'ryzy': (1, 0, 1, 1),
'rzxy': (1, 1, 0, 1), 'ryxy': (1, 1, 1, 1), 'ryxz': (2, 0, 0, 1),
'rzxz': (2, 0, 1, 1), 'rxyz': (2, 1, 0, 1), 'rzyz': (2, 1, 1, 1)}
_TUPLE2AXES = dict((v, k) for k, v in _AXES2TUPLE.items())
def vector_norm(data, axis=None, out=None):
"""Return length, i.e. Euclidean norm, of ndarray along axis.
>>> v = numpy.random.random(3)
>>> n = vector_norm(v)
>>> numpy.allclose(n, numpy.linalg.norm(v))
True
>>> v = numpy.random.rand(6, 5, 3)
>>> n = vector_norm(v, axis=-1)
>>> numpy.allclose(n, numpy.sqrt(numpy.sum(v*v, axis=2)))
True
>>> n = vector_norm(v, axis=1)
>>> numpy.allclose(n, numpy.sqrt(numpy.sum(v*v, axis=1)))
True
>>> v = numpy.random.rand(5, 4, 3)
>>> n = numpy.empty((5, 3))
>>> vector_norm(v, axis=1, out=n)
>>> numpy.allclose(n, numpy.sqrt(numpy.sum(v*v, axis=1)))
True
>>> vector_norm([])
0.0
>>> vector_norm([1])
1.0
"""
data = numpy.array(data, dtype=numpy.float64, copy=True)
if out is None:
if data.ndim == 1:
return math.sqrt(numpy.dot(data, data))
data *= data
out = numpy.atleast_1d(numpy.sum(data, axis=axis))
numpy.sqrt(out, out)
return out
else:
data *= data
numpy.sum(data, axis=axis, out=out)
numpy.sqrt(out, out)
def unit_vector(data, axis=None, out=None):
"""Return ndarray normalized by length, i.e. Euclidean norm, along axis.
>>> v0 = numpy.random.random(3)
>>> v1 = unit_vector(v0)
>>> numpy.allclose(v1, v0 / numpy.linalg.norm(v0))
True
>>> v0 = numpy.random.rand(5, 4, 3)
>>> v1 = unit_vector(v0, axis=-1)
>>> v2 = v0 / numpy.expand_dims(numpy.sqrt(numpy.sum(v0*v0, axis=2)), 2)
>>> numpy.allclose(v1, v2)
True
>>> v1 = unit_vector(v0, axis=1)
>>> v2 = v0 / numpy.expand_dims(numpy.sqrt(numpy.sum(v0*v0, axis=1)), 1)
>>> numpy.allclose(v1, v2)
True
>>> v1 = numpy.empty((5, 4, 3))
>>> unit_vector(v0, axis=1, out=v1)
>>> numpy.allclose(v1, v2)
True
>>> list(unit_vector([]))
[]
>>> list(unit_vector([1]))
[1.0]
"""
if out is None:
data = numpy.array(data, dtype=numpy.float64, copy=True)
if data.ndim == 1:
data /= math.sqrt(numpy.dot(data, data))
return data
else:
if out is not data:
out[:] = numpy.array(data, copy=False)
data = out
length = numpy.atleast_1d(numpy.sum(data*data, axis))
numpy.sqrt(length, length)
if axis is not None:
length = numpy.expand_dims(length, axis)
data /= length
if out is None:
return data
def random_vector(size):
"""Return array of random doubles in the half-open interval [0.0, 1.0).
>>> v = random_vector(10000)
>>> numpy.all(v >= 0) and numpy.all(v < 1)
True
>>> v0 = random_vector(10)
>>> v1 = random_vector(10)
>>> numpy.any(v0 == v1)
False
"""
return numpy.random.random(size)
def vector_product(v0, v1, axis=0):
"""Return vector perpendicular to vectors.
>>> v = vector_product([2, 0, 0], [0, 3, 0])
>>> numpy.allclose(v, [0, 0, 6])
True
>>> v0 = [[2, 0, 0, 2], [0, 2, 0, 2], [0, 0, 2, 2]]
>>> v1 = [[3], [0], [0]]
>>> v = vector_product(v0, v1)
>>> numpy.allclose(v, [[0, 0, 0, 0], [0, 0, 6, 6], [0, -6, 0, -6]])
True
>>> v0 = [[2, 0, 0], [2, 0, 0], [0, 2, 0], [2, 0, 0]]
>>> v1 = [[0, 3, 0], [0, 0, 3], [0, 0, 3], [3, 3, 3]]
>>> v = vector_product(v0, v1, axis=1)
>>> numpy.allclose(v, [[0, 0, 6], [0, -6, 0], [6, 0, 0], [0, -6, 6]])
True
"""
return numpy.cross(v0, v1, axis=axis)
def angle_between_vectors(v0, v1, directed=True, axis=0):
"""Return angle between vectors.
If directed is False, the input vectors are interpreted as undirected axes,
i.e. the maximum angle is pi/2.
>>> a = angle_between_vectors([1, -2, 3], [-1, 2, -3])
>>> numpy.allclose(a, math.pi)
True
>>> a = angle_between_vectors([1, -2, 3], [-1, 2, -3], directed=False)
>>> numpy.allclose(a, 0)
True
>>> v0 = [[2, 0, 0, 2], [0, 2, 0, 2], [0, 0, 2, 2]]
>>> v1 = [[3], [0], [0]]
>>> a = angle_between_vectors(v0, v1)
>>> numpy.allclose(a, [0, 1.5708, 1.5708, 0.95532])
True
>>> v0 = [[2, 0, 0], [2, 0, 0], [0, 2, 0], [2, 0, 0]]
>>> v1 = [[0, 3, 0], [0, 0, 3], [0, 0, 3], [3, 3, 3]]
>>> a = angle_between_vectors(v0, v1, axis=1)
>>> numpy.allclose(a, [1.5708, 1.5708, 1.5708, 0.95532])
True
"""
v0 = numpy.array(v0, dtype=numpy.float64, copy=False)
v1 = numpy.array(v1, dtype=numpy.float64, copy=False)
dot = numpy.sum(v0 * v1, axis=axis)
dot /= vector_norm(v0, axis=axis) * vector_norm(v1, axis=axis)
return numpy.arccos(dot if directed else numpy.fabs(dot))
def inverse_matrix(matrix):
"""Return inverse of square transformation matrix.
>>> M0 = random_rotation_matrix()
>>> M1 = inverse_matrix(M0.T)
>>> numpy.allclose(M1, numpy.linalg.inv(M0.T))
True
>>> for size in range(1, 7):
... M0 = numpy.random.rand(size, size)
... M1 = inverse_matrix(M0)
... if not numpy.allclose(M1, numpy.linalg.inv(M0)): print(size)
"""
return numpy.linalg.inv(matrix)
def concatenate_matrices(*matrices):
"""Return concatenation of series of transformation matrices.
>>> M = numpy.random.rand(16).reshape((4, 4)) - 0.5
>>> numpy.allclose(M, concatenate_matrices(M))
True
>>> numpy.allclose(numpy.dot(M, M.T), concatenate_matrices(M, M.T))
True
"""
M = numpy.identity(4)
for i in matrices:
M = numpy.dot(M, i)
return M
def is_same_transform(matrix0, matrix1):
"""Return True if two matrices perform same transformation.
>>> is_same_transform(numpy.identity(4), numpy.identity(4))
True
>>> is_same_transform(numpy.identity(4), random_rotation_matrix())
False
"""
matrix0 = numpy.array(matrix0, dtype=numpy.float64, copy=True)
matrix0 /= matrix0[3, 3]
matrix1 = numpy.array(matrix1, dtype=numpy.float64, copy=True)
matrix1 /= matrix1[3, 3]
return numpy.allclose(matrix0, matrix1)
def is_same_quaternion(q0, q1):
"""Return True if two quaternions are equal."""
q0 = numpy.array(q0)
q1 = numpy.array(q1)
return numpy.allclose(q0, q1) or numpy.allclose(q0, -q1)
def _import_module(name, package=None, warn=True, prefix='_py_', ignore='_'):
"""Try import all public attributes from module into global namespace.
Existing attributes with name clashes are renamed with prefix.
Attributes starting with underscore are ignored by default.
Return True on successful import.
"""
import warnings
from importlib import import_module
try:
if not package:
module = import_module(name)
else:
module = import_module('.' + name, package=package)
except ImportError:
if warn:
warnings.warn("failed to import module %s" % name)
else:
for attr in dir(module):
if ignore and attr.startswith(ignore):
continue
if prefix:
if attr in globals():
globals()[prefix + attr] = globals()[attr]
elif warn:
warnings.warn("no Python implementation of " + attr)
globals()[attr] = getattr(module, attr)
return True
# _import_module('_transformations')
if __name__ == "__main__":
import doctest
import random # noqa: used in doctests
numpy.set_printoptions(suppress=True, precision=5)
doctest.testmod()
================================================
FILE: utils/visualizer.py
================================================
'''Code adapted from https://github.com/junyanz/pytorch-CycleGAN-and-pix2pix'''
import numpy as np
import os
import ntpath
import time
import visdom
from . import visutil as util
class Visualizer():
def __init__(self, opt):
# self.opt = opt
self.display_id = opt.display_id
self.win_size = opt.display_winsize
self.name = opt.name
if self.display_id > 0:
self.vis = visdom.Visdom(port = opt.display_port)
self.display_single_pane_ncols = opt.display_single_pane_ncols
self.log_name = os.path.join(opt.checkpoint_dir, opt.name, 'loss_log.txt')
with open(self.log_name, "a") as log_file:
now = time.strftime("%c")
log_file.write('================ Training Loss (%s) ================\n' % now)
def print_message(self, text):
with open(self.log_name, "a") as log_file:
log_file.write('%s\n' % text)
# |visuals|: dictionary of images to display or save
def display_current_results(self, visuals, epoch):
if self.display_id > 0: # show images in the browser
if self.display_single_pane_ncols > 0:
h, w = next(iter(visuals.values())).shape[:2]
table_css = """""" % (w, h)
ncols = self.display_single_pane_ncols
title = self.name
label_html = ''
label_html_row = ''
nrows = int(np.ceil(len(visuals.items()) / ncols))
images = []
idx = 0
# for label, image_numpy in visuals.items():
img_keys = visuals.keys()
list.sort(img_keys)
for label in img_keys:
image_numpy = visuals[label]
label_html_row += '%s | ' % label
images.append(image_numpy.transpose([2, 0, 1]))
idx += 1
if idx % ncols == 0:
label_html += '%s
' % label_html_row
label_html_row = ''
white_image = np.ones_like(image_numpy.transpose([2, 0, 1]))*255
while idx % ncols != 0:
images.append(white_image)
label_html_row += ' | '
idx += 1
if label_html_row != '':
label_html += '%s
' % label_html_row
# pane col = image row
self.vis.images(images, nrow=ncols, win=self.display_id + 1,
padding=2, opts=dict(title=title + ' images'))
label_html = '' % label_html
self.vis.text(table_css + label_html, win = self.display_id + 2,
opts=dict(title=title + ' labels'))
else:
idx = 1
for label, image_numpy in visuals.items():
self.vis.image(
image_numpy.transpose([2,0,1]), opts=dict(title=label),
win=self.display_id + idx)
idx += 1
# scalars: dictionary of scalar labels and values
def plot_current_scalars(self, epoch, counter_ratio, opt, scalars):
if not hasattr(self, 'plot_data'):
self.plot_data = {'X':[],'Y':[], 'legend':list(scalars.keys())}
self.plot_data['X'].append(epoch + counter_ratio)
self.plot_data['Y'].append([scalars[k] for k in self.plot_data['legend']])
self.vis.line(
X=np.stack([np.array(self.plot_data['X'])]*len(self.plot_data['legend']),1),
Y=np.array(self.plot_data['Y']),
opts={
'title': self.name + ' loss over time',
'legend': self.plot_data['legend'],
'xlabel': 'epoch',
'ylabel': 'loss'},
win=self.display_id)
# scatter plots
def plot_current_points(self, points, disp_offset=10):
idx = disp_offset
for label, pts in points.items():
#image_numpy = np.flipud(image_numpy)
self.vis.scatter(
pts, opts=dict(title=label, markersize=1), win=self.display_id + idx)
idx += 1
# scalars: same format as |scalars| of plot_current_scalars
def print_current_scalars(self, epoch, i, scalars):
message = '(epoch: %d, iters: %d) ' % (epoch, i)
for k, v in scalars.items():
message += '%s: %.3f ' % (k, v)
print(message)
with open(self.log_name, "a") as log_file:
log_file.write('%s\n' % message)
# save image to the disk
def save_images(self, webpage, visuals, image_path):
image_dir = webpage.get_image_dir()
short_path = ntpath.basename(image_path[0])
name = os.path.splitext(short_path)[0]
webpage.add_header(name)
ims = []
txts = []
links = []
for label, image_numpy in visuals.items():
image_name = '%s_%s.png' % (name, label)
save_path = os.path.join(image_dir, image_name)
util.save_image(image_numpy, save_path)
ims.append(image_name)
txts.append(label)
links.append(image_name)
webpage.add_images(ims, txts, links, width=self.win_size)
================================================
FILE: utils/visutil.py
================================================
'''Code from https://github.com/junyanz/pytorch-CycleGAN-and-pix2pix'''
from __future__ import print_function
import torch
import numpy as np
from PIL import Image
import inspect, re
import numpy as np
import os
import collections
# Converts a Tensor into a Numpy array
# |imtype|: the desired type of the converted numpy array
def tensor2im(image_tensor, imtype=np.uint8):
image_numpy = image_tensor[0].cpu().float().numpy()
image_numpy = (np.transpose(image_numpy, (1, 2, 0))) * 255.0
return image_numpy.astype(imtype)
def tensor2kps(kp_tensor):
# Input is either B x N x 3 or N x 2
# 3rd dim is visibility.
kps_numpy = kp_tensor[0].cpu().float().numpy()
if kps_numpy.shape[1] == 3:
kps_numpy = kps_numpy[:, :2]
return kps_numpy
def tensor2verts(vert_tensor):
if vert_tensor.dim() == 2:
# N x 3
vert_numpy = vert_tensor.cpu().float().numpy()
else:
# B x N x 3
vert_numpy = vert_tensor[0].cpu().float().numpy()
return vert_numpy
def tensor2im_batch(image_tensor, num_batch, imtype=np.uint8):
images = []
for i in range(num_batch):
image_numpy = image_tensor[i].cpu().float().numpy()
image_numpy = (np.transpose(image_numpy, (1, 2, 0))) * 255.0
images.append(image_numpy.astype(imtype))
images = np.hstack(images)
return images
def undo_resnet_preprocess(image_tensor):
image_tensor = image_tensor.clone()
image_tensor.narrow(1,0,1).mul_(.229).add_(.485)
image_tensor.narrow(1,1,1).mul_(.224).add_(.456)
image_tensor.narrow(1,2,1).mul_(.225).add_(.406)
return image_tensor
def diagnose_network(net, name='network'):
mean = 0.0
count = 0
for param in net.parameters():
if param.grad is not None:
mean += torch.mean(torch.abs(param.grad.data))
count += 1
if count > 0:
mean = mean / count
print(name)
print(mean)
def save_image(image_numpy, image_path):
image_pil = Image.fromarray(image_numpy)
image_pil.save(image_path)
def info(object, spacing=10, collapse=1):
"""Print methods and doc strings.
Takes module, class, list, dictionary, or string."""
methodList = [e for e in dir(object) if isinstance(getattr(object, e), collections.Callable)]
processFunc = collapse and (lambda s: " ".join(s.split())) or (lambda s: s)
print( "\n".join(["%s %s" %
(method.ljust(spacing),
processFunc(str(getattr(object, method).__doc__)))
for method in methodList]) )
def varname(p):
for line in inspect.getframeinfo(inspect.currentframe().f_back)[3]:
m = re.search(r'\bvarname\s*\(\s*([A-Za-z_][A-Za-z0-9_]*)\s*\)', line)
if m:
return m.group(1)
def print_numpy(x, val=True, shp=False):
x = x.astype(np.float64)
if shp:
print('shape,', x.shape)
if val:
x = x.flatten()
print('mean = %3.3f, min = %3.3f, max = %3.3f, median = %3.3f, std=%3.3f' % (
np.mean(x), np.min(x), np.max(x), np.median(x), np.std(x)))
def mkdirs(paths):
if isinstance(paths, list) and not isinstance(paths, str):
for path in paths:
mkdir(path)
else:
mkdir(paths)
def mkdir(path):
if not os.path.exists(path):
os.makedirs(path)
================================================
FILE: zebra_data/verts2kp.pkl
================================================
cnumpy.core.multiarray
_reconstruct
p0
(cnumpy
ndarray
p1
(I0
tp2
S'b'
p3
tp4
Rp5
(I1
(I28
I3889
tp6
cnumpy
dtype
p7
(S'f8'
p8
I0
I1
tp9
Rp10
(I3
S'<'
p11
NNNI-1
I-1
I0
tp12
bI00
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p13
tp14
b.