Repository: ShapeNet/RenderForCNN
Branch: master
Commit: c0bee04aad3d
Files: 172
Total size: 2.2 MB
Directory structure:
gitextract_kjgmib7a/
├── .gitignore
├── LICENSE
├── README.md
├── caffe_models/
│ ├── deploy.prototxt
│ ├── fetch_model.sh
│ └── imagenet_mean.npy
├── data/
│ └── detection_results/
│ └── bbox_mat_filelist.txt
├── datasets/
│ ├── get_pascal3d.sh
│ ├── get_shapenet.sh
│ └── get_sun2012pascalformat.sh
├── demo_render/
│ ├── .gitignore
│ ├── README.md
│ ├── render_class_view.py
│ ├── run_demo.py
│ ├── sample_bkg_images/
│ │ └── filelist.txt
│ ├── sample_model/
│ │ ├── model.mtl
│ │ ├── model.obj
│ │ └── model_source.txt
│ ├── sample_model2/
│ │ ├── model.mtl
│ │ ├── model.obj
│ │ └── model_source.txt
│ ├── sample_truncations.txt
│ └── sample_viewpoints.txt
├── demo_view/
│ ├── .gitignore
│ ├── README.md
│ ├── run_demo.py
│ ├── run_demo_topk.py
│ ├── run_visualize_3dview.py
│ └── run_visualize_3dview_topk.py
├── global_variables.py.example
├── render_pipeline/
│ ├── README.md
│ ├── blank.blend
│ ├── crop_gray.m
│ ├── crop_images.m
│ ├── kde/
│ │ ├── get_voc12train_truncation_stats.m
│ │ ├── get_voc12train_view_stats.m
│ │ ├── matlab_kde_package/
│ │ │ ├── Contents.m
│ │ │ ├── README.txt
│ │ │ ├── adjustBW.m
│ │ │ ├── adjustPoints.m
│ │ │ ├── adjustWeights.m
│ │ │ ├── condition.m
│ │ │ ├── covar.m
│ │ │ ├── display.m
│ │ │ ├── double_kde.m
│ │ │ ├── encode.m
│ │ │ ├── entropy.m
│ │ │ ├── entropyGrad.m
│ │ │ ├── evalAvgLogL.m
│ │ │ ├── evalFGT.m
│ │ │ ├── evalIFGT.m
│ │ │ ├── evaluate.m
│ │ │ ├── examples/
│ │ │ │ ├── demo_kde_1.m
│ │ │ │ ├── demo_kde_2.m
│ │ │ │ ├── demo_kde_3.m
│ │ │ │ └── demo_regress.m
│ │ │ ├── findBWCrit.m
│ │ │ ├── getBW.m
│ │ │ ├── getDim.m
│ │ │ ├── getNeff.m
│ │ │ ├── getNpts.m
│ │ │ ├── getPoints.m
│ │ │ ├── getType.m
│ │ │ ├── getWeights.m
│ │ │ ├── gram.m
│ │ │ ├── hist.m
│ │ │ ├── ise.m
│ │ │ ├── joinTrees.m
│ │ │ ├── kde.m
│ │ │ ├── klGrad.m
│ │ │ ├── kld.m
│ │ │ ├── knn.m
│ │ │ ├── ksize.m
│ │ │ ├── license.gpl
│ │ │ ├── llGrad.m
│ │ │ ├── llHess.m
│ │ │ ├── marginal.m
│ │ │ ├── max.m
│ │ │ ├── maxlogerr.m
│ │ │ ├── mean.m
│ │ │ ├── mex/
│ │ │ │ ├── BallTree.cpp
│ │ │ │ ├── BallTreeDensity.cpp
│ │ │ │ ├── DualTree.cpp
│ │ │ │ ├── adjustBW.cpp
│ │ │ │ ├── adjustPoints.cpp
│ │ │ │ ├── adjustWeights.cpp
│ │ │ │ ├── cpp/
│ │ │ │ │ ├── BallTree.h
│ │ │ │ │ ├── BallTreeClass.cc
│ │ │ │ │ ├── BallTreeDensity.h
│ │ │ │ │ ├── BallTreeDensityClass.cc
│ │ │ │ │ ├── README.txt
│ │ │ │ │ └── kernels.h
│ │ │ │ ├── entropyGradISE.cpp
│ │ │ │ ├── entropyGradRS.cpp
│ │ │ │ ├── iseEpsilon.cpp
│ │ │ │ ├── klGradRS.cpp
│ │ │ │ ├── knn.cpp
│ │ │ │ ├── llGrad.cpp
│ │ │ │ ├── makemex.m
│ │ │ │ ├── maketmp.m
│ │ │ │ ├── prodSampleEpsilon.cpp
│ │ │ │ ├── prodSampleExact.cpp
│ │ │ │ ├── prodSampleGibbs.cpp
│ │ │ │ ├── prodSampleGibbs1.cpp
│ │ │ │ ├── prodSampleGibbs2.cpp
│ │ │ │ ├── prodSampleGibbsMS.cpp
│ │ │ │ ├── prodSampleGibbsMS1.cpp
│ │ │ │ ├── prodSampleGibbsMS2.cpp
│ │ │ │ └── reduceSolve.cpp
│ │ │ ├── miGrad.m
│ │ │ ├── modes.m
│ │ │ ├── plot.m
│ │ │ ├── private/
│ │ │ │ ├── DualTree.m
│ │ │ │ ├── entropyDist.m
│ │ │ │ ├── entropyGradDist.m
│ │ │ │ ├── golden.m
│ │ │ │ ├── iqr.m
│ │ │ │ ├── ksizeCalcUseful.m
│ │ │ │ ├── ksizeHall.m
│ │ │ │ ├── ksizeLSCV.m
│ │ │ │ ├── ksizeMSP.m
│ │ │ │ ├── ksizeROT.m
│ │ │ │ ├── prodSampleImportGauss.m
│ │ │ │ ├── prodSampleImportMix.m
│ │ │ │ ├── prodSampleImportPair.m
│ │ │ │ ├── randKernel.m
│ │ │ │ ├── reduceKD.m
│ │ │ │ ├── reduceKD2.m
│ │ │ │ └── reduceSolveM.m
│ │ │ ├── productApprox.m
│ │ │ ├── productExact.m
│ │ │ ├── quantize.m
│ │ │ ├── reduce.m
│ │ │ ├── resample.m
│ │ │ ├── rescale.m
│ │ │ └── sample.m
│ │ ├── run_sampling.m
│ │ ├── sample_truncations.m
│ │ ├── sample_viewpoints.m
│ │ └── setup_path.m
│ ├── overlay_background.m
│ ├── rdir.m
│ ├── render_helper.py
│ ├── render_model_views.py
│ ├── run_crop.py
│ ├── run_overlay.py
│ └── run_render.py
├── setup.py
├── train/
│ ├── imagenet_mean.binaryproto
│ ├── solver.prototxt.example
│ └── train_val.prototxt.example
└── view_estimation/
├── .gitignore
├── README.md
├── box_overlap.m
├── caffe_utils.py
├── combine_bbox_view.m
├── compute_recall_precision_accuracy_3dview.m
├── compute_recall_precision_accuracy_azimuth.m
├── compute_vp_acc_mederror.m
├── data_prep_helper.py
├── evaluation_helper.py
├── extract_records.m
├── jitter_imcrop.m
├── prepare_testing_data.py
├── prepare_training_data.py
├── prepare_voc12_imgs.m
├── prepare_voc12val_det_imgs.m
├── ref_evaluation_results/
│ ├── acc_mederr_results.txt
│ └── avp_nv_results.txt
├── run_evaluation.py
├── test_det.m
└── test_gt.m
================================================
FILE CONTENTS
================================================
================================================
FILE: .gitignore
================================================
*.pyc
*.m~
*.mat
*.mex*
*.dll
*.caffemodel
*.solverstate
global_variables.m
global_variables.py
data/syn_images*
data/view_*
data/truncation_*
data/real_images
data/tmp*
data/real_lmdbs
data/syn_lmdbs
datasets/pascal3d
datasets/shapenetcore
datasets/sun2012pascalformat
caffe_models/*.zip
*deformed*
experiments
================================================
FILE: LICENSE
================================================
Render for CNN
Copyright (c) 2015, Geometric Computation Group of Stanford University
All rights reserved.
MIT License
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: README.md
================================================
## Render for CNN: *Viewpoint Estimation in Images Using CNNs Trained with Rendered 3D Model Views*
Created by Hao Su, Charles R. Qi, Yangyan Li, Leonidas J. Guibas from Stanford University.
### Introduction
Our work was initially described in an [arXiv tech report](http://arxiv.org/abs/1505.05641) and will appear as an ICCV 2015 paper. Render for CNN is a scalable image synthesis pipeline for generating millions of training images for high-capacity models such as deep CNNs. We demonstrated how to use this pipeline, together with specially designed network architecture, to train CNNs to learn viewpoints of objects from millions of synthetic images and real images. In this repository, we provide both the rendering pipeline codes and off-the-shelf viewpoint estimator for PASCAL3D+ objects.
### License
Render for CNN is released under the MIT License (refer to the LICENSE file for details).
### Citing Render for CNN
If you find Render for CNN useful in your research, please consider citing:
@InProceedings{Su_2015_ICCV,
Title={Render for CNN: Viewpoint Estimation in Images Using CNNs Trained with Rendered 3D Model Views},
Author={Su, Hao and Qi, Charles R. and Li, Yangyan and Guibas, Leonidas J.},
Booktitle={The IEEE International Conference on Computer Vision (ICCV)},
month = {December},
Year= {2015}
}
### Contents
1. [Render for CNN Image Synthesis Pipeline](#render-for-cnn-image-synthesis-pipeline)
2. [Off-the-shelf Viewpoint Estimator](#off-the-shelf-viewpoint-estimator)
3. [Testing on VOC12 val](#testing-on-voc12-val)
4. [Training your Own Models](#training-your-own-models)
### Render for CNN Image Synthesis Pipeline
**Prerequisites**
0. Blender (tested with Blender 2.71 on 64-bit Linux). You can get it from Blender website for free.
1. MATLAB (tested with 2014b on 64-bit Linux). You also need to compile the external kde package in `render_pipeline/kde/matlab_kde_package` by following the `README.txt` file in that folder.
2. Datasets (ShapeNet, PASCAL3D+, SUN2012) [**not required for the demo**]. If you already have the same datasets (as in urls specified in the shell scripts) downloaded, you can build soft links to the datasets with the same pathname as specified in the shell scripts. Otherwise, just do the following steps under project root folder:
bash dataset/get_shapenet.sh
bash dataset/get_sun2012pascalformat.sh
bash dataset/get_pascal3d.sh
**Set up paths**
All data and code paths should be set in `global_variables.py`. We have provided you an example version `global_variables.py.example`. You only need to copy or rename the example file and **modify the Blender and MATLAB path** in it (in default the paths are set to `blend` and `matlab`). All other paths are relative to the project root folder and should be fine.
cp global_variables.py.example global_variables.py
After setting Blender and MATLAB paths in `global_variables.py`, run script to set up MATLAB global variable file.
python setup.py
#### Demo of synthesis pipeline
This small demo at `demo_render` shows how we get cropped, background overlaid images of objects from a 3D model. It also helps verity that you have all enviroment set up. To run the demo, cd into project root folder and follow steps below.
cd demo_render
python run_demo.py
#### Running large scale synthesis
0. **Estimate viewpoint and truncation distributions** with KDE (kernal density estimation). If you haven't compiled the kde package, go to `render_pipeline/kde/matlab_kde_package/mex`, open MATLAB and run `makemex` in MATLAB to generate mex files.
cd render_pipeline/kde
Open MATLAB and run the following command (expect to see plots popping up). Viewpoint and truncation statistics will be saved to `data/view_statistics` and `data/truncation_statistics`. Samples generated from estimated distrubtion will be saved to `data/view_distribution` and `truncation_distribution`.
run_sampling;
1. **Render images with Blender** This step is computationally heavy and may take a long time depending how powerful your computers are. It takes us around 8 hours to render 2.4M images on 6 multi-core servers. If you have multiple servers with shared filesystem, you can set `g_hostname_synset_idx_map` in `global_variables.py` accordingly. Note that currently models are directly from ShapeNet, deformed models will be released separately later.
python render_pipeline/run_render.py
You can stop rendering at any time and execute following commands to crop and overlay background on images that have already been rendered. In default, rendered images will be saved at `data/syn_images`.
2. **Crop images** This step is IO heavy and it takes around 1~2 hours on a multi-core server. SSD or high-end HDD disk could help a lot. In default, cropped images are saved to `data/syn_images_cropped`.
python render_pipeline/run_crop.py
3. **Overlay backgrounds** Time consumption is similar to cropping step above. In default, background overlaid (also cropped from step above) images are saved to `data/syn_images_cropped_bkg_overlaid`.
python render_pipeline/run_overlay.py
If you'd like to get a file containing all synthesized image filenames and their labels (class, azimuth, elevation, tilt angles), we have some helper functions for that - just go look at `get_one_category_image_label_file` and `combine_files` in `view_estimation/data_prep_helper.py`, also refer to `view_estimation/prepare_training_data.py` for usage examples.
### Off-the-shelf Viewpoint Estimator
**Prerequisites**
0. Caffe (with pycaffe compiled). For testing we support the new caffe interface and prototxt files (which uses "layer" instead of "layers" in prototxt file). You can follow this webpage for installation details.
1. Download our pre-trained caffe model (~390MB). The model was trained on rendered images and VOC12 train set real images.
cd caffe_models
sh fetch_model.sh
**Set up paths**
The steps are the same as above in Render for CNN Image Synthesis Pipeline.
#### Demo of 3D viewpoint estimator
This demo at `demo_view` shows how one can use our off-the-shelf viewpoint estimator. To estimate viewpoint of an example image of airplane, do the following.
cd demo_view
python run_demo.py
To visualize the estimated 3D viewpoint, run and see a rendered image of the viewpoint.
python run_visualize_3dview.py
### Testing on VOC12 val
**Prerequisites**
0. Caffe with python interface and pretrained caffe mdoel - as in requirement in [Off-the-shelf Viewpoint Estimator](#off-the-shelf-viewpoint-estimator).
1. PASCAL3D+ dataset - if you haven't downloaded it. It will be used for preparing test images and evaluation.
bash dataset/get_pascal3d.sh
2. MATLAB for preparing test images.
**Set up paths**
The steps are the same as above in Render for CNN Image Synthesis Pipeline.
#### Evaluation of AVP-NV, Acc-pi/6 and MedErr
For AVP-NV (Average Viewpoint Precision), both localization (from R-CNN) and viewpoint estimation (azimuth) are evaluated. For Acc-\pi/6 and MedErr, we evaluate on VOC12 val images without truncations and occlusions. For more details on definition of the metrics, please refer to the paper.
Firstly, we need to prepare the testing images from VOC12, by running:
python view_estimation/prepare_testing_data.py
Then, do evaluation by running:
python view_estimation/run_evaluation.py
Results are displayed on screen and saved to `view_estimation/avp_test_results/avp_nv_results.txt` and `view_estimation/vp_test_results/acc_mederr_results.txt`
### Training your Own Models
For Caffe, go to caffe-render-for-cnn for the version with special loss layers (in view_prediction branch).
To prepare training data, run the script below. This will genereate LMDB in the data folder.
python view_estimation/prepare_training_data.py
To do the training, modify prototxt files in the `train` folder.
You can directly download synthetic images rendered by us at https://shapenet.cs.stanford.edu/media/syn_images_cropped_bkg_overlaid.tar
We name images in this package by their viewpoints. An example is the following:
synsetid_modelmd5_a010_e007_t016_d002.png
where azimuth angle is 10 degree, elevation angle is 7 degree.
NOTE: The tilt angle should be flipped as to what is written in the filename. Here the tilt angle should be -16 (344) degree to make it consistent with PASCAL3D annotation.
================================================
FILE: caffe_models/deploy.prototxt
================================================
name: "RCNN_Fine_Tune"
input: "data"
input_shape {
dim: 1
dim: 3
dim: 227
dim: 227
}
layer {
name: "conv1"
type: "Convolution"
bottom: "data"
top: "conv1"
convolution_param {
num_output: 96
kernel_size: 11
stride: 4
}
}
layer {
name: "relu1"
type: "ReLU"
bottom: "conv1"
top: "conv1"
}
layer {
name: "pool1"
type: "Pooling"
bottom: "conv1"
top: "pool1"
pooling_param {
pool: MAX
kernel_size: 3
stride: 2
}
}
layer {
name: "norm1"
type: "LRN"
bottom: "pool1"
top: "norm1"
lrn_param {
local_size: 5
alpha: 0.0001
beta: 0.75
}
}
layer {
name: "conv2"
type: "Convolution"
bottom: "norm1"
top: "conv2"
convolution_param {
num_output: 256
pad: 2
kernel_size: 5
group: 2
}
}
layer {
name: "relu2"
type: "ReLU"
bottom: "conv2"
top: "conv2"
}
layer {
name: "pool2"
type: "Pooling"
bottom: "conv2"
top: "pool2"
pooling_param {
pool: MAX
kernel_size: 3
stride: 2
}
}
layer {
name: "norm2"
type: "LRN"
bottom: "pool2"
top: "norm2"
lrn_param {
local_size: 5
alpha: 0.0001
beta: 0.75
}
}
layer {
name: "conv3"
type: "Convolution"
bottom: "norm2"
top: "conv3"
convolution_param {
num_output: 384
pad: 1
kernel_size: 3
}
}
layer {
name: "relu3"
type: "ReLU"
bottom: "conv3"
top: "conv3"
}
layer {
name: "conv4"
type: "Convolution"
bottom: "conv3"
top: "conv4"
convolution_param {
num_output: 384
pad: 1
kernel_size: 3
group: 2
}
}
layer {
name: "relu4"
type: "ReLU"
bottom: "conv4"
top: "conv4"
}
layer {
name: "conv5"
type: "Convolution"
bottom: "conv4"
top: "conv5"
convolution_param {
num_output: 256
pad: 1
kernel_size: 3
group: 2
}
}
layer {
name: "relu5"
type: "ReLU"
bottom: "conv5"
top: "conv5"
}
layer {
name: "pool5"
type: "Pooling"
bottom: "conv5"
top: "pool5"
pooling_param {
pool: MAX
kernel_size: 3
stride: 2
}
}
layer {
name: "fc6"
type: "InnerProduct"
bottom: "pool5"
top: "fc6"
inner_product_param {
num_output: 4096
}
}
layer {
name: "relu6"
type: "ReLU"
bottom: "fc6"
top: "fc6"
}
layer {
name: "drop6"
type: "Dropout"
bottom: "fc6"
top: "fc6"
dropout_param {
dropout_ratio: 0.5
}
}
layer {
name: "fc7"
type: "InnerProduct"
bottom: "fc6"
top: "fc7"
inner_product_param {
num_output: 4096
}
}
layer {
name: "relu7"
type: "ReLU"
bottom: "fc7"
top: "fc7"
}
layer {
name: "drop7"
type: "Dropout"
bottom: "fc7"
top: "fc7"
dropout_param {
dropout_ratio: 0.5
}
}
layer {
name: "fc-azimuth"
type: "InnerProduct"
bottom: "fc7"
top: "fc-azimuth"
inner_product_param {
num_output: 4320
}
}
layer {
name: "fc-elevation"
type: "InnerProduct"
bottom: "fc7"
top: "fc-elevation"
inner_product_param {
num_output: 4320
}
}
layer {
name: "fc-tilt"
type: "InnerProduct"
bottom: "fc7"
top: "fc-tilt"
inner_product_param {
num_output: 4320
}
}
================================================
FILE: caffe_models/fetch_model.sh
================================================
#!/usr/bin/env sh
# This script downloads pretrained caffe model
DIR="$( cd "$(dirname "$0")" ; pwd -P )"
cd $DIR
FILE=render4cnn-release1-caffe-model.zip
MODEL_FILE=render4cnn_3dview.caffemodel
CHECKSUM=6d690d19f13795bf6f197131895e95bc
if [ -f $MODEL_FILE ]; then
echo "File already exists. Checking md5..."
os=`uname -s`
if [ "$os" = "Linux" ]; then
checksum=`md5sum $MODEL_FILE | awk '{ print $1 }'`
elif [ "$os" = "Darwin" ]; then
checksum=`cat $MODEL_FILE | md5`
fi
if [ "$checksum" = "$CHECKSUM" ]; then
echo "Model checksum is correct. No need to download."
exit 0
else
echo "Model checksum is incorrect. Need to download again."
fi
fi
echo "Downloading precomputed viewpoint estimation caffe model (390MB)..."
wget https://shapenet.cs.stanford.edu/media/$FILE
echo "Unzipping..."
unzip $FILE
rm $FILE
echo "Done. Please run this command again to verify that checksum = $CHECKSUM."
================================================
FILE: data/detection_results/bbox_mat_filelist.txt
================================================
rcnn_bbox_reg_pruned/aeroplane_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/bicycle_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/boat_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/bottle_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/bus_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/car_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/chair_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/diningtable_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/motorbike_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/sofa_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/train_pruned_boxes_voc_2012_val_bbox_reg.mat
rcnn_bbox_reg_pruned/tvmonitor_pruned_boxes_voc_2012_val_bbox_reg.mat
================================================
FILE: datasets/get_pascal3d.sh
================================================
#!/usr/bin/env sh
# This script downloads the PASCAL3D+ (release 1.1) data and unzips it.
# do not change this name
dataset_dir="pascal3d"
# if you have already had the same version of dataset, you can
# create soft link like this:
# >> ln -s pascal3d
DIR="$( cd "$(dirname "$0")" ; pwd -P )"
cd $DIR
echo "Downloading..."
wget ftp://cs.stanford.edu/cs/cvgl/PASCAL3D+_release1.1.zip
echo "Unzipping..."
mkdir $dataset_dir
unzip PASCAL3D+_release1.1.zip && rm -f PASCAL3D+_release1.1.zip
mv PASCAL3D+_release1.1/* $dataset_dir && rm -rf PASCAL3D+_release1.1
echo "Done."
================================================
FILE: datasets/get_shapenet.sh
================================================
#!/usr/bin/env sh
# This script downloads the ShapeNet data and unzips it.
# do not change this name
dataset_dir="shapenetcore"
zip_file="ShapeNetCore.v1.zip"
# if you have already had the same version of dataset, you can
# create soft link like this:
# >> ln -s shapenetcore
DIR="$( cd "$(dirname "$0")" ; pwd -P )"
cd $DIR
if [ -f $zip_file ];
then
echo "Good. you already have the zip file downloaded."
else
echo "Please visit http://shapenet.cs.stanford.edu to request ShapeNet data and then put the zip file in this folder and then run this script again.."
fi
echo "Unzipping..."
mkdir $dataset_dir
unzip ShapeNetCore.v1.zip && rm -f ShapeNetCore.v1.zip
mv ShapeNetCore.v1/* $dataset_dir && rm -rf ShapeNetCore.v1
cd $dataset_dir
for zipfile in `ls *.zip`; do unzip $zipfile; done
cd ..
echo "Done."
================================================
FILE: datasets/get_sun2012pascalformat.sh
================================================
#!/usr/bin/env sh
# This script downloads the SUN2012 data and unzips it.
# do not change this name
dataset_dir="sun2012pascalformat"
# if you have already had the same version of dataset, you can
# create soft link like this:
# >> ln -s sun2012pascalformat
DIR="$( cd "$(dirname "$0")" ; pwd -P )"
cd $DIR
echo "Downloading..."
wget http://groups.csail.mit.edu/vision/SUN/releases/SUN2012pascalformat.tar.gz
echo "Unzipping..."
mkdir $dataset_dir
tar -zxvf SUN2012pascalformat.tar.gz && rm -f SUN2012pascalformat.tar.gz
mv SUN2012pascalformat/* $dataset_dir && rm -rf SUN2012pascalformat
ls JPEGImages > filelist.txt
echo "Done."
================================================
FILE: demo_render/.gitignore
================================================
demo_images*
================================================
FILE: demo_render/README.md
================================================
Render for CNN: image synthesis pipeline demo
python run_demo.py
reference output images are in `ref_output`.
================================================
FILE: demo_render/render_class_view.py
================================================
#!/usr/bin/python
import os.path as osp
import sys
import argparse
import os, tempfile, glob, shutil
BASE_DIR = osp.dirname(__file__)
sys.path.append(osp.join(BASE_DIR,'../'))
from global_variables import *
parser = argparse.ArgumentParser(description='Render Model Images of a certain class and view')
parser.add_argument('-m', '--model_file', help='CAD Model obj filename', default=osp.join(BASE_DIR,'sample_model/model.obj'))
parser.add_argument('-a', '--azimuth', default='45')
parser.add_argument('-e', '--elevation', default='20')
parser.add_argument('-t', '--tilt', default='0')
parser.add_argument('-d', '--distance', default='2.0')
parser.add_argument('-o', '--output_img', help='Output img filename.', default=osp.join(BASE_DIR, 'demo_img.png'))
args = parser.parse_args()
blank_file = osp.join(g_blank_blend_file_path)
render_code = osp.join(g_render4cnn_root_folder, 'render_pipeline/render_model_views.py')
# MK TEMP DIR
temp_dirname = tempfile.mkdtemp()
view_file = osp.join(temp_dirname, 'view.txt')
view_fout = open(view_file,'w')
view_fout.write(' '.join([args.azimuth, args.elevation, args.tilt, args.distance]))
view_fout.close()
try:
render_cmd = '%s %s --background --python %s -- %s %s %s %s %s' % (g_blender_executable_path, blank_file, render_code, args.model_file, 'xxx', 'xxx', view_file, temp_dirname)
print render_cmd
os.system(render_cmd)
imgs = glob.glob(temp_dirname+'/*.png')
shutil.move(imgs[0], args.output_img)
except:
print('render failed. render_cmd: %s' % (render_cmd))
# CLEAN UP
shutil.rmtree(temp_dirname)
================================================
FILE: demo_render/run_demo.py
================================================
#!/usr/bin/python
# -*- coding: utf-8 -*-
'''
RENDERING PIPELINE DEMO
run it several times to see random images with different lighting conditions,
viewpoints, truncations and backgrounds.
'''
import os
import sys
from PIL import Image
import random
from datetime import datetime
random.seed(datetime.now())
BASE_DIR = os.path.dirname(os.path.abspath(__file__))
sys.path.append(BASE_DIR)
sys.path.append(os.path.join(BASE_DIR,'../'))
from global_variables import *
# set debug mode
debug_mode = 1
if debug_mode:
io_redirect = ''
else:
io_redirect = ' > /dev/null 2>&1'
# -------------------------------------------
# RENDER
# -------------------------------------------
# set filepath
syn_images_folder = os.path.join(BASE_DIR, 'demo_images')
model_name = 'chair001'
image_name = 'demo_img.png'
if not os.path.exists(syn_images_folder):
os.mkdir(syn_images_folder)
os.mkdir(os.path.join(syn_images_folder, model_name))
viewpoint_samples_file = os.path.join(BASE_DIR, 'sample_viewpoints.txt')
viewpoint_samples = [[float(x) for x in line.rstrip().split(' ')] for line in open(viewpoint_samples_file,'r')]
# run code
v = random.choice(viewpoint_samples)
print ">> Selected view: ", v
python_cmd = 'python %s -a %s -e %s -t %s -d %s -o %s' % (os.path.join(BASE_DIR, 'render_class_view.py'),
str(v[0]), str(v[1]), str(v[2]), str(v[3]), os.path.join(syn_images_folder, model_name, image_name))
print ">> Running rendering command: \n \t %s" % (python_cmd)
os.system('%s %s' % (python_cmd, io_redirect))
# show result
print(">> Displaying rendered image ...")
im = Image.open(os.path.join(syn_images_folder, model_name, image_name))
im.show()
# -------------------------------------------
# CROP
# -------------------------------------------
# set filepath
bkg_folder = os.path.join(BASE_DIR, 'sample_bkg_images')
bkg_filelist = os.path.join(bkg_folder, 'filelist.txt')
syn_images_cropped_folder = os.path.join(BASE_DIR, 'demo_images_cropped')
truncation_samples_file = os.path.join(BASE_DIR, 'sample_truncations.txt')
# run matlab code
matlab_cmd = "addpath('%s'); crop_images('%s','%s','%s',1);" % (os.path.join(g_render4cnn_root_folder, 'render_pipeline'), syn_images_folder, syn_images_cropped_folder, truncation_samples_file)
print ">> Starting MATLAB ... to run cropping command: \n \t %s" % matlab_cmd
os.system('%s -nodisplay -r "try %s ; catch; end; quit;" %s' % (g_matlab_executable_path, matlab_cmd, io_redirect))
# show result
print(">> Displaying cropped image ...")
im = Image.open(os.path.join(syn_images_cropped_folder, model_name, image_name))
im.show()
# -------------------------------------------
# OVERLAY BACKGROUND
# -------------------------------------------
# set filepath
syn_images_cropped_bkg_overlaid_folder = os.path.join(BASE_DIR, 'demo_images_cropped_bkg_overlaid')
# run code
matlab_cmd = "addpath('%s'); overlay_background('%s','%s','%s', '%s', %f, 1);" % (os.path.join(g_render4cnn_root_folder, 'render_pipeline'), syn_images_cropped_folder, syn_images_cropped_bkg_overlaid_folder, bkg_filelist, bkg_folder, 1.0)
print ">> Starting MATLAB ... to run background overlaying command: \n \t %s" % matlab_cmd
os.system('%s -nodisplay -r "try %s ; catch; end; quit;" %s' % (g_matlab_executable_path, matlab_cmd, io_redirect))
# show result
print("Displaying background overlaid image ...")
im = Image.open(os.path.join(syn_images_cropped_bkg_overlaid_folder, model_name, image_name.replace('.png', '.jpg')))
im.show()
================================================
FILE: demo_render/sample_bkg_images/filelist.txt
================================================
sun_admehzzcyrwqeagf.jpg
sun_amxqyvcaerikvqep.jpg
sun_amyacsvlywqnpmum.jpg
sun_amyamgmyudixgkeu.jpg
sun_amyaojhhpfkypfki.jpg
sun_amydkgquihpzayht.jpg
sun_amyhazfgaoclbgqs.jpg
sun_amymtdfzotooyham.jpg
sun_amynimbbnwqwejeg.jpg
sun_amyqdfkizefupfta.jpg
sun_amyqrurobufixjqr.jpg
sun_amyrciusrihbhswi.jpg
sun_amyuvmazodqhkrin.jpg
sun_amyvdsxkokkyxnft.jpg
sun_amywfwnlavdpohzn.jpg
sun_amywncoshhwkcvek.jpg
sun_amyxaanrovbdsxnk.jpg
sun_aruegippndskcujm.jpg
================================================
FILE: demo_render/sample_model/model.mtl
================================================
# Blender MTL File: 'blank.blend'
# Material Count: 3
newmtl material_0_1_8
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 ./images/texture0.jpg
newmtl material_1_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.800000 0.800000 0.800000
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_2_2_8
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 ./images/texture1.jpg
================================================
FILE: demo_render/sample_model/model.obj
================================================
# Blender v2.71 (sub 0) OBJ File: 'blank.blend'
# www.blender.org
mtllib model.mtl
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usemtl material_2_2_8
s off
f 35/2 47/3 68/4
f 96/5 68/6 78/7
s 1
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usemtl material_0_1_8
s 1
f 293/1575 294/1576 295/1577
f 296/1578 294/1576 293/1575
f 297/1579 295/1580 294/1581
f 293/1575 295/1577 298/1582
f 296/1578 299/1583 294/1576
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f 297/1585 298/1586 295/1587
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usemtl material_1_24
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f 293/1954 294/1954 296/1954
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usemtl material_1_24
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================================================
FILE: demo_render/sample_model/model_source.txt
================================================
shapenetcore/03001627/21bfb150cfc23accb01c58badc8bbc39
================================================
FILE: demo_render/sample_model2/model.mtl
================================================
# Blender MTL File: 'blank.blend'
# Material Count: 10
newmtl material_0_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.000000 0.097255 0.398431
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_1_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.109804 0.109804 0.109804
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_2_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.800000 0.800000 0.800000
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_3_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.800000 0.800000 0.800000
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_4_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.800000 0.000000 0.000000
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_5_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.401569 0.401569 0.401569
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_6_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.000000 0.000000 0.000000
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_7_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.602353 0.602353 0.602353
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_8_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.621177 0.621177 0.621177
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
newmtl material_9_24
Ns 96.078431
Ka 0.000000 0.000000 0.000000
Kd 0.000000 0.263530 0.445490
Ks 0.500000 0.500000 0.500000
Ni -1.000000
d 1.000000
illum 2
================================================
FILE: demo_render/sample_model2/model.obj
================================================
# Blender v2.71 (sub 0) OBJ File: 'blank.blend'
# www.blender.org
mtllib model.mtl
o mesh86.002_mesh86-geometry
o mesh85.002_mesh85-geometry
o mesh84.002_mesh84-geometry
v -0.112334 -0.0247918 0.326346
v -0.112334 -0.0257319 0.326346
v -0.117671 -0.0253167 0.326346
v -0.0822166 -0.0343714 0.257515
v -0.103148 -0.0255135 0.338135
v -0.0822166 -0.0326653 0.257515
v -0.103148 -0.0221889 0.338135
v -0.0531489 -0.0361433 0.257515
v -0.0906588 -0.0338686 0.257515
v -0.0958207 -0.0270661 0.326346
v -0.122308 -0.0238512 0.338135
v -0.0568887 -0.0291002 0.257515
v -0.0963678 -0.023195 0.326346
v -0.0487962 -0.0370618 0.250516
v -0.087903 -0.0347433 0.250516
v -0.0528645 -0.0297127 0.250516
v -0.0822821 -0.0350714 0.250516
v -0.0991674 -0.0227355 0.338135
v -0.0822821 -0.033934 0.250516
v 0.0325893 -0.0543844 0.119284
v -0.025131 -0.0515848 0.119284
v -0.0991674 -0.0249665 0.338135
v 0.0711932 -0.0482603 0.0343556
v -0.0652437 -0.0345244 0.233302
v -0.07887 -0.0339557 0.250516
v -0.025131 -0.0491133 0.119284
v -0.0731398 -0.0350714 0.250516
v -0.0363949 -0.0510378 0.119284
v 0.0852347 -0.0655825 0.0343556
v -0.096783 -0.0238512 0.338135
v 0.0951645 -0.0515848 0.0343556
v 0.0224627 -0.0409766 0.119284
v -0.0736426 -0.0362304 0.230656
v -0.0754141 -0.0342838 0.250516
v 0.0471339 -0.0574684 0.095816
v -0.0146541 -0.0515848 0.119284
v -0.0363949 -0.0539466 0.095816
v 0.0974613 -0.063811 0.0343556
v -0.0205815 -0.0457012 0.133326
v -0.022353 -0.0545374 0.095816
v 0.104351 -0.0543623 0.0343556
v 0.10411 -0.06158 0.0343556
v -0.0295924 -0.04791 0.129542
v -0.022353 -0.0518253 0.095816
v -0.022353 -0.0620395 0.0343556
v 0.107894 -0.0582555 0.0343556
v 0.0224627 -0.0450233 0.095816
v -0.022353 -0.0598302 0.0343556
v -0.0111328 -0.0501193 0.095816
v -0.022353 -0.0619082 0.0343556
v -0.0363949 -0.06158 0.0343556
v 0.0359138 -0.0429891 0.095816
v -0.022353 -0.0578619 0.0497316
v -0.0111328 -0.0564181 0.0497316
v 0.0623787 -0.0469478 0.0497099
v -0.0111328 -0.0584523 0.0343556
v 0.0623787 -0.0493538 0.0343556
usemtl material_2_24
s off
f 3 2 1
f 9 6 4
f 4 15 9
f 9 15 6
f 17 15 4
f 6 19 16
f 6 15 19
f 15 17 21
f 15 25 19
f 21 27 17
f 15 34 25
f 27 21 36
f 34 15 27
f 37 44 40
s 1
f 3 4 2
f 5 2 3
f 3 6 1
f 7 3 1
f 2 8 4
f 3 4 9
f 5 10 2
f 5 3 11
f 1 6 12
f 3 9 6
f 11 3 7
f 7 1 13
f 8 14 4
f 10 8 2
f 7 5 11
f 6 16 12
f 1 12 13
f 4 14 17
f 18 5 7
f 14 20 17
f 18 22 5
f 7 23 18
f 19 24 16
f 15 26 19
f 17 20 21
f 15 21 28
f 22 29 5
f 22 18 30
f 18 23 31
f 16 24 32
f 19 33 24
f 15 28 26
f 20 35 21
f 28 37 21
f 22 38 29
f 18 31 30
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usemtl material_3_24
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usemtl material_7_24
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usemtl material_7_24
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usemtl material_7_24
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usemtl material_7_24
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usemtl material_7_24
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usemtl material_7_24
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f 1921 1909 1928
f 1929 1910 1921
f 1922 1910 1929
f 1914 1931 1912
f 1916 1922 1932
f 1923 1916 1932
f 1933 1917 1923
f 1924 1917 1933
f 1925 1918 1926
f 1926 1919 1935
f 1937 1921 1928
f 1929 1921 1937
f 1932 1922 1929
f 1938 1931 1914
f 1939 1923 1932
f 1933 1923 1939
f 1940 1925 1926
f 1941 1926 1935
f 1943 1929 1937
f 1932 1929 1943
f 1945 1931 1938
f 1939 1932 1943
f 1946 1933 1939
f 1934 1945 1938
f 1940 1942 1925
f 1926 1941 1940
f 1940 1936 1942
f 1946 1939 1948
f 1949 1945 1934
f 1950 1940 1941
f 1936 1940 1951
f 1948 1954 1946
f 1946 1949 1934
f 1951 1940 1950
f 1936 1951 1956
f 1952 1957 1947
f 1954 1949 1946
f 1948 1958 1954
f 1960 1951 1950
f 1951 1960 1956
f 1936 1956 1952
f 1957 1948 1947
f 1952 1956 1957
f 1961 1954 1958
f 1948 1957 1958
f 1962 1956 1960
f 1956 1962 1957
f 1954 1961 1959
f 1961 1958 1957
f 1961 1957 1962
usemtl material_7_24
s off
f 1870 1878 1875
f 1883 1875 1878
f 1884 1904 1897
f 1914 1897 1904
f 1891 1907 1918
f 1925 1918 1907
f 1930 1912 1913
f 1924 1915 1934
f 1928 1936 1920
f 1931 1912 1930
f 1938 1934 1915
f 1942 1920 1936
f 1944 1931 1930
f 1943 1947 1937
f 1945 1931 1944
f 1952 1937 1947
f 1953 1945 1944
f 1945 1955 1949
f 1953 1955 1945
f 1955 1959 1949
f 1949 1959 1954
s 1
f 1866 1867 1868
f 1869 1867 1866
f 1867 1870 1868
f 1866 1868 1871
f 1869 1872 1867
f 1867 1874 1870
f 1868 1870 1875
f 1871 1868 1876
f 1877 1872 1869
f 1872 1874 1867
f 1868 1875 1876
f 1871 1876 1879
f 1880 1872 1877
f 1881 1874 1872
f 1876 1875 1884
f 1879 1876 1885
f 1880 1881 1872
f 1882 1880 1877
f 1881 1887 1874
f 1878 1889 1883
f 1876 1884 1885
f 1886 1879 1885
f 1891 1881 1880
f 1892 1880 1882
f 1887 1893 1874
f 1888 1892 1882
f 1895 1889 1878
f 1896 1883 1889
f 1885 1884 1897
f 1886 1885 1898
f 1890 1886 1898
f 1892 1891 1880
f 1887 1900 1893
f 1901 1892 1888
f 1894 1901 1888
f 1889 1895 1903
f 1893 1895 1878
f 1896 1904 1883
f 1889 1903 1896
f 1898 1885 1897
f 1899 1890 1906
f 1906 1890 1898
f 1907 1891 1892
f 1900 1887 1908
f 1900 1895 1893
f 1901 1907 1892
f 1901 1894 1909
f 1909 1894 1902
f 1911 1903 1895
f 1896 1912 1904
f 1903 1913 1896
f 1898 1897 1915
f 1905 1899 1917
f 1917 1899 1906
f 1906 1898 1915
f 1908 1887 1918
f 1900 1908 1919
f 1895 1900 1911
f 1907 1901 1920
f 1920 1901 1909
f 1909 1902 1921
f 1921 1902 1910
f 1912 1896 1913
f 1904 1912 1914
f 1916 1905 1923
f 1923 1905 1917
f 1917 1906 1924
f 1924 1906 1915
f 1908 1918 1926
f 1908 1926 1919
f 1919 1927 1900
f 1927 1911 1900
f 1920 1909 1928
f 1928 1909 1921
f 1921 1910 1929
f 1929 1910 1922
f 1912 1931 1914
f 1932 1922 1916
f 1932 1916 1923
f 1923 1917 1933
f 1933 1917 1924
f 1926 1918 1925
f 1935 1919 1926
f 1928 1921 1937
f 1937 1921 1929
f 1929 1922 1932
f 1914 1931 1938
f 1932 1923 1939
f 1939 1923 1933
f 1926 1925 1940
f 1935 1926 1941
f 1937 1929 1943
f 1943 1929 1932
f 1938 1931 1945
f 1943 1932 1939
f 1939 1933 1946
f 1938 1945 1934
f 1925 1942 1940
f 1940 1941 1926
f 1942 1936 1940
f 1948 1939 1946
f 1934 1945 1949
f 1941 1940 1950
f 1951 1940 1936
f 1946 1954 1948
f 1934 1949 1946
f 1950 1940 1951
f 1956 1951 1936
f 1947 1957 1952
f 1946 1949 1954
f 1954 1958 1948
f 1950 1951 1960
f 1956 1960 1951
f 1952 1956 1936
f 1947 1948 1957
f 1957 1956 1952
f 1958 1954 1961
f 1958 1957 1948
f 1960 1956 1962
f 1957 1962 1956
f 1959 1961 1954
f 1957 1958 1961
f 1962 1957 1961
o mesh19.020_mesh19-geometry
o mesh18.020_mesh18-geometry
o mesh17.020_mesh17-geometry
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usemtl material_2_24
s off
f 1963 1964 1965
f 1965 1964 1963
f 1967 1965 1964
f 1964 1965 1967
f 1971 1967 1964
f 1964 1967 1971
f 1966 1968 1969
f 1969 1968 1966
f 1973 1967 1971
f 1971 1967 1973
f 1970 1974 1968
f 1968 1974 1970
f 1974 1969 1968
f 1968 1969 1974
f 1972 1975 1970
f 1970 1975 1972
f 1976 1973 1971
f 1971 1973 1976
f 1975 1974 1970
f 1970 1974 1975
f 1978 1975 1972
f 1972 1975 1978
f 1977 1973 1976
f 1976 1973 1977
f 1979 1978 1972
f 1972 1978 1979
f 1980 1977 1976
f 1976 1977 1980
f 1982 1978 1979
f 1979 1978 1982
f 1983 1977 1980
f 1980 1977 1983
f 1981 1977 1983
f 1983 1977 1981
f 1984 1982 1979
f 1979 1982 1984
f 1985 1981 1983
f 1983 1981 1985
f 1987 1982 1984
f 1984 1982 1987
f 1986 1981 1985
f 1985 1981 1986
f 1988 1987 1984
f 1984 1987 1988
f 1989 1986 1985
f 1985 1986 1989
f 1990 1987 1988
f 1988 1987 1990
f 1991 1989 1985
f 1985 1989 1991
f 1992 1990 1988
f 1988 1990 1992
f 1993 1989 1991
f 1991 1989 1993
f 1994 1990 1992
f 1992 1990 1994
f 1995 1993 1991
f 1991 1993 1995
f 1996 1994 1992
f 1992 1994 1996
f 1997 1993 1995
f 1995 1993 1997
f 1998 1994 1996
f 1996 1994 1998
f 1999 1993 1997
f 1997 1993 1999
f 2000 1998 1996
f 1996 1998 2000
f 2001 1999 1997
f 1997 1999 2001
f 2004 1998 2000
f 2000 1998 2004
f 2002 2001 1997
f 1997 2001 2002
f 2003 2004 2000
f 2000 2004 2003
f 2006 2001 2002
f 2002 2001 2006
f 2008 2004 2003
f 2003 2004 2008
f 2005 2008 2003
f 2003 2008 2005
f 2007 2006 2002
f 2002 2006 2007
f 2009 2008 2005
f 2005 2008 2009
f 2010 2006 2007
f 2007 2006 2010
s 1
f 1963 1966 1964
f 1964 1966 1963
f 1965 1968 1963
f 1963 1968 1965
f 1966 1963 1968
f 1968 1963 1966
f 1969 1964 1966
f 1966 1964 1969
f 1967 1970 1965
f 1965 1970 1967
f 1968 1965 1970
f 1970 1965 1968
f 1964 1969 1971
f 1971 1969 1964
f 1970 1967 1972
f 1972 1967 1970
f 1974 1971 1969
f 1969 1971 1974
f 1973 1972 1967
f 1967 1972 1973
f 1971 1974 1976
f 1976 1974 1971
f 1973 1977 1972
f 1972 1977 1973
f 1975 1976 1974
f 1974 1976 1975
f 1979 1972 1977
f 1977 1972 1979
f 1975 1978 1976
f 1976 1978 1975
f 1977 1981 1979
f 1979 1981 1977
f 1980 1976 1978
f 1978 1976 1980
f 1984 1979 1981
f 1981 1979 1984
f 1978 1982 1980
f 1980 1982 1978
f 1983 1980 1982
f 1982 1980 1983
f 1981 1986 1984
f 1984 1986 1981
f 1982 1987 1983
f 1983 1987 1982
f 1985 1983 1987
f 1987 1983 1985
f 1988 1984 1986
f 1986 1984 1988
f 1987 1990 1985
f 1985 1990 1987
f 1986 1989 1988
f 1988 1989 1986
f 1991 1985 1990
f 1990 1985 1991
f 1992 1988 1989
f 1989 1988 1992
f 1990 1994 1991
f 1991 1994 1990
f 1989 1993 1992
f 1992 1993 1989
f 1995 1991 1994
f 1994 1991 1995
f 1996 1992 1993
f 1993 1992 1996
f 1994 1998 1995
f 1995 1998 1994
f 1993 1999 1996
f 1996 1999 1993
f 1997 1995 1998
f 1998 1995 1997
f 2000 1996 1999
f 1999 1996 2000
f 1997 1998 2002
f 2002 1998 1997
f 2000 1999 2003
f 2003 1999 2000
f 2001 2003 1999
f 1999 2003 2001
f 2004 2002 1998
f 1998 2002 2004
f 2003 2001 2005
f 2005 2001 2003
f 2002 2004 2007
f 2007 2004 2002
f 2006 2005 2001
f 2001 2005 2006
f 2008 2007 2004
f 2004 2007 2008
f 2005 2006 2009
f 2009 2006 2005
f 2007 2008 2010
f 2010 2008 2007
f 2010 2009 2006
f 2006 2009 2010
f 2009 2010 2008
f 2008 2010 2009
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usemtl material_2_24
s off
f 2154 2156 2151
f 2151 2156 2159
s 1
f 2013 2012 2011
f 2011 2012 2014
f 2013 2015 2012
f 2012 2016 2014
f 2011 2014 2017
f 2015 2018 2012
f 2019 2015 2013
f 2014 2016 2020
f 2012 2018 2016
f 2017 2014 2021
f 2015 2022 2018
f 2023 2015 2019
f 2016 2024 2020
f 2014 2020 2021
f 2018 2025 2016
f 2017 2021 2026
f 2022 2027 2018
f 2023 2022 2015
f 2028 2023 2019
f 2020 2024 2029
f 2016 2025 2024
f 2021 2020 2030
f 2018 2027 2025
f 2026 2021 2031
f 2022 2032 2027
f 2033 2022 2023
f 2034 2023 2028
f 2035 2029 2024
f 2030 2020 2029
f 2024 2025 2036
f 2031 2021 2030
f 2025 2027 2037
f 2038 2026 2031
f 2039 2027 2032
f 2022 2040 2032
f 2040 2022 2033
f 2034 2033 2023
f 2041 2034 2028
f 2042 2029 2035
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usemtl material_6_24
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usemtl material_0_24
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usemtl material_1_24
s off
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usemtl material_3_24
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s 1
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usemtl material_8_24
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usemtl material_2_24
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usemtl material_6_24
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usemtl material_0_24
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s 1
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usemtl material_1_24
s off
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usemtl material_4_24
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s 1
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usemtl material_3_24
s off
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s 1
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usemtl material_0_24
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f 12674 12685 12658
f 12666 12675 12686
f 12675 12658 12685
f 12667 12666 12687
f 12669 12667 12688
f 12665 12689 12676
f 12690 12668 12677
f 12677 12660 12678
f 12678 12661 12679
f 12679 12669 12691
f 12690 12682 12668
f 12684 12689 12665
f 12676 12697 12674
f 12685 12674 12698
f 12699 12686 12675
f 12686 12687 12666
f 12685 12700 12675
f 12687 12688 12667
f 12688 12691 12669
f 12689 12701 12676
f 12702 12690 12677
f 12678 12703 12677
f 12679 12704 12678
f 12691 12705 12679
f 12709 12682 12690
f 12684 12712 12689
f 12697 12676 12713
f 12697 12698 12674
f 12698 12714 12685
f 12686 12699 12715
f 12699 12675 12700
f 12687 12686 12716
f 12700 12685 12714
f 12688 12687 12717
f 12691 12688 12718
f 12689 12719 12701
f 12701 12713 12676
f 12720 12690 12702
f 12702 12677 12703
f 12703 12678 12704
f 12704 12679 12705
f 12705 12691 12721
f 12720 12709 12690
f 12712 12719 12689
f 12713 12728 12697
f 12698 12697 12728
f 12714 12698 12729
f 12715 12699 12730
f 12716 12686 12715
f 12700 12730 12699
f 12717 12687 12716
f 12714 12731 12700
f 12718 12688 12717
f 12718 12721 12691
f 12719 12732 12701
f 12713 12701 12733
f 12734 12720 12702
f 12735 12702 12703
f 12736 12703 12704
f 12737 12704 12705
f 12738 12705 12721
f 12743 12709 12720
f 12712 12747 12719
f 12728 12713 12748
f 12728 12729 12698
f 12729 12749 12714
f 12715 12730 12750
f 12716 12715 12751
f 12700 12731 12730
f 12717 12716 12752
f 12714 12749 12731
f 12718 12717 12753
f 12721 12718 12754
f 12719 12755 12732
f 12732 12733 12701
f 12733 12748 12713
f 12756 12720 12734
f 12734 12702 12735
f 12735 12703 12736
f 12736 12704 12737
f 12737 12705 12738
f 12738 12721 12757
f 12756 12743 12720
f 12747 12755 12719
f 12748 12764 12728
f 12729 12728 12764
f 12729 12765 12749
f 12750 12730 12766
f 12751 12715 12750
f 12752 12716 12751
f 12731 12766 12730
f 12753 12717 12752
f 12749 12767 12731
f 12754 12718 12753
f 12757 12721 12754
f 12755 12768 12732
f 12733 12732 12769
f 12748 12733 12770
f 12771 12756 12734
f 12735 12772 12734
f 12736 12773 12735
f 12774 12736 12737
f 12775 12737 12738
f 12776 12738 12757
f 12782 12743 12756
f 12747 12787 12755
f 12764 12748 12788
f 12764 12765 12729
f 12765 12789 12749
f 12750 12766 12790
f 12751 12750 12791
f 12752 12751 12792
f 12731 12767 12766
f 12753 12752 12793
f 12749 12789 12767
f 12754 12753 12794
f 12757 12754 12795
f 12755 12796 12768
f 12768 12769 12732
f 12769 12770 12733
f 12770 12788 12748
f 12797 12756 12771
f 12771 12734 12772
f 12772 12735 12773
f 12773 12736 12774
f 12774 12737 12775
f 12775 12738 12776
f 12776 12757 12798
f 12797 12782 12756
f 12787 12796 12755
f 12788 12808 12764
f 12764 12808 12765
f 12765 12809 12789
f 12790 12766 12810
f 12791 12750 12790
f 12792 12751 12791
f 12793 12752 12792
f 12767 12810 12766
f 12794 12753 12793
f 12789 12811 12767
f 12795 12754 12794
f 12798 12757 12795
f 12796 12812 12768
f 12769 12768 12813
f 12770 12769 12814
f 12788 12770 12815
f 12816 12797 12771
f 12817 12771 12772
f 12773 12818 12772
f 12774 12819 12773
f 12820 12774 12775
f 12821 12775 12776
f 12822 12776 12798
f 12830 12782 12797
f 12837 12796 12787
f 12788 12838 12808
f 12808 12809 12765
f 12789 12809 12839
f 12790 12810 12840
f 12791 12790 12841
f 12792 12791 12842
f 12793 12792 12843
f 12767 12811 12810
f 12794 12793 12844
f 12789 12839 12811
f 12795 12794 12845
f 12798 12795 12846
f 12847 12812 12796
f 12812 12813 12768
f 12813 12814 12769
f 12814 12815 12770
f 12815 12848 12788
f 12849 12797 12816
f 12816 12771 12817
f 12817 12772 12818
f 12818 12773 12819
f 12819 12774 12820
f 12820 12775 12821
f 12821 12776 12822
f 12822 12798 12850
f 12853 12807 12800
f 12839 12800 12823
f 12849 12830 12797
f 12862 12832 12807
f 12837 12847 12796
f 12838 12788 12848
f 12838 12863 12808
f 12808 12863 12809
f 12853 12839 12809
f 12840 12810 12864
f 12841 12790 12840
f 12842 12791 12841
f 12843 12792 12842
f 12844 12793 12843
f 12811 12864 12810
f 12845 12794 12844
f 12839 12823 12811
f 12846 12795 12845
f 12850 12798 12846
f 12847 12865 12812
f 12812 12865 12813
f 12814 12813 12866
f 12815 12814 12867
f 12815 12867 12848
f 12868 12849 12816
f 12869 12816 12817
f 12818 12870 12817
f 12819 12871 12818
f 12872 12819 12820
f 12873 12820 12821
f 12874 12821 12822
f 12875 12822 12850
f 12862 12807 12853
f 12853 12800 12839
f 12884 12830 12849
f 12885 12861 12831
f 12886 12831 12832
f 12862 12886 12832
f 12889 12847 12837
f 12838 12848 12890
f 12838 12890 12863
f 12809 12863 12853
f 12811 12823 12864
f 12896 12865 12847
f 12865 12897 12813
f 12897 12866 12813
f 12866 12867 12814
f 12867 12898 12848
f 12899 12849 12868
f 12868 12816 12869
f 12869 12817 12870
f 12870 12818 12871
f 12871 12819 12872
f 12872 12820 12873
f 12873 12821 12874
f 12874 12822 12875
f 12901 12852 12851
f 12902 12851 12861
f 12903 12856 12852
f 12862 12853 12863
f 12905 12858 12856
f 12858 12907 12859
f 12859 12908 12881
f 12899 12884 12849
f 12885 12902 12861
f 12886 12885 12831
f 12890 12886 12862
f 12889 12896 12847
f 12848 12910 12890
f 12890 12862 12863
f 12896 12912 12865
f 12912 12897 12865
f 12866 12897 12913
f 12867 12866 12914
f 12867 12914 12898
f 12848 12898 12910
f 12915 12899 12868
f 12916 12868 12869
f 12870 12917 12869
f 12871 12918 12870
f 12919 12871 12872
f 12920 12872 12873
f 12921 12873 12874
f 12922 12874 12875
f 12901 12903 12852
f 12902 12901 12851
f 12903 12905 12856
f 12905 12907 12858
f 12907 12908 12859
f 12908 12930 12881
f 12933 12884 12899
f 12934 12902 12885
f 12910 12885 12886
f 12910 12886 12890
f 12937 12896 12889
f 12945 12912 12896
f 12912 12946 12897
f 12946 12913 12897
f 12913 12914 12866
f 12914 12947 12898
f 12898 12934 12910
f 12948 12899 12915
f 12915 12868 12916
f 12916 12869 12917
f 12917 12870 12918
f 12918 12871 12919
f 12919 12872 12920
f 12920 12873 12921
f 12921 12874 12922
f 12953 12903 12901
f 12954 12901 12902
f 12955 12905 12903
f 12905 12956 12907
f 12907 12957 12908
f 12881 12930 12927
f 12930 12908 12958
f 12933 12899 12960
f 12954 12902 12934
f 12934 12885 12910
f 12937 12945 12896
f 12945 12961 12912
f 12961 12946 12912
f 12913 12946 12962
f 12914 12913 12963
f 12914 12963 12947
f 12898 12947 12934
f 12948 12960 12899
f 12964 12948 12915
f 12916 12965 12915
f 12916 12917 12965
f 12917 12918 12966
f 12919 12967 12918
f 12920 12968 12919
f 12921 12969 12920
f 12922 12970 12921
f 12953 12955 12903
f 12953 12901 12954
f 12955 12956 12905
f 12956 12957 12907
f 12957 12958 12908
f 12930 12977 12927
f 12958 12980 12930
f 12947 12954 12934
f 12984 12945 12937
f 12994 12961 12945
f 12961 12995 12946
f 12995 12962 12946
f 12962 12963 12913
f 12963 12996 12947
f 12997 12960 12948
f 12964 12997 12948
f 12964 12915 12965
f 12966 12965 12917
f 12998 12966 12918
f 12968 12967 12919
f 12967 12998 12918
f 12969 12968 12920
f 12970 12969 12921
f 13005 12955 12953
f 12996 12953 12954
f 12955 13006 12956
f 12956 13007 12957
f 12957 13008 12958
f 12927 12977 12976
f 12930 12980 12977
f 12958 13009 12980
f 12947 12996 12954
f 12984 12994 12945
f 12994 13012 12961
f 13012 12995 12961
f 12962 12995 13013
f 12963 12962 13014
f 12963 13014 12996
f 12997 13015 12960
f 13016 12997 12964
f 13017 12964 12965
f 12965 12966 13017
f 12966 12998 13018
f 12968 13019 12967
f 12967 13020 12998
f 12969 13021 12968
f 12970 13022 12969
f 13005 13006 12955
f 12996 13005 12953
f 13006 13007 12956
f 13007 13008 12957
f 13008 13009 12958
f 12977 13029 12976
f 12980 13030 12977
f 13009 13033 12980
f 12984 13035 12994
f 12976 13029 12985
f 12985 13036 12987
f 12987 13038 12990
f 12990 13041 12991
f 12991 13042 13001
f 12994 13045 13012
f 13012 13046 12995
f 13046 13013 12995
f 13013 13014 12962
f 13014 13005 12996
f 13047 13015 12997
f 13016 13047 12997
f 13017 13016 12964
f 13018 13017 12966
f 13048 13018 12998
f 13021 13019 12968
f 13019 13020 12967
f 13020 13048 12998
f 13022 13021 12969
f 13001 13042 13003
f 13003 13053 13026
f 13005 13055 13006
f 13006 13056 13007
f 13007 13057 13008
f 13008 13058 13009
f 12977 13030 13029
f 12980 13033 13030
f 13009 13059 13033
f 12994 13035 13045
f 13029 13036 12985
f 13036 13038 12987
f 13038 13041 12990
f 13041 13042 12991
f 13012 13045 13061
f 13012 13061 13046
f 13046 13062 13013
f 13013 13063 13014
f 13014 13055 13005
f 13047 13064 13015
f 13065 13047 13016
f 13017 13066 13016
f 13017 13018 13066
f 13048 13067 13018
f 13019 13021 13068
f 13019 13068 13020
f 13020 13069 13048
f 13022 13070 13021
f 13042 13077 13003
f 13077 13053 13003
f 13026 13053 13080
f 13055 13056 13006
f 13056 13057 13007
f 13057 13058 13008
f 13058 13059 13009
f 13030 13083 13029
f 13033 13084 13030
f 13059 13086 13033
f 13035 13087 13045
f 13029 13083 13036
f 13036 13088 13038
f 13038 13090 13041
f 13041 13093 13042
f 13045 13095 13061
f 13046 13061 13062
f 13063 13013 13062
f 13055 13014 13063
f 13096 13064 13047
f 13065 13096 13047
f 13065 13016 13066
f 13097 13066 13018
f 13069 13067 13048
f 13067 13097 13018
f 13098 13068 13021
f 13068 13069 13020
f 13070 13098 13021
f 13026 13080 13074
f 13042 13102 13077
f 13077 13104 13053
f 13080 13053 13105
f 13056 13055 13108
f 13057 13056 13109
f 13058 13057 13110
f 13059 13058 13111
f 13030 13084 13083
f 13033 13086 13084
f 13059 13112 13086
f 13045 13087 13095
f 13083 13088 13036
f 13088 13090 13038
f 13090 13093 13041
f 13093 13102 13042
f 13061 13095 13114
f 13061 13114 13062
f 13062 13115 13063
f 13063 13108 13055
f 13096 13116 13064
f 13117 13096 13065
f 13118 13065 13066
f 13097 13119 13066
f 13069 13120 13067
f 13067 13121 13097
f 13098 13122 13068
f 13068 13123 13069
f 13070 13125 13098
f 13074 13080 13129
f 13077 13102 13104
f 13104 13105 13053
f 13080 13105 13133
f 13108 13109 13056
f 13109 13110 13057
f 13110 13111 13058
f 13059 13111 13112
f 13084 13136 13083
f 13086 13137 13084
f 13112 13138 13086
f 13087 13139 13095
f 13088 13083 13136
f 13088 13140 13090
f 13090 13142 13093
f 13093 13145 13102
f 13095 13147 13114
f 13062 13114 13115
f 13108 13063 13115
f 13148 13116 13096
f 13117 13148 13096
f 13118 13117 13065
f 13119 13118 13066
f 13121 13119 13097
f 13123 13120 13069
f 13120 13121 13067
f 13125 13122 13098
f 13122 13123 13068
f 13129 13080 13133
f 13074 13129 13149
f 13102 13154 13104
f 13104 13156 13105
f 13105 13157 13133
f 13108 13160 13109
f 13109 13161 13110
f 13111 13110 13162
f 13163 13112 13111
f 13084 13137 13136
f 13086 13138 13137
f 13112 13164 13138
f 13095 13139 13147
f 13136 13140 13088
f 13140 13142 13090
f 13142 13145 13093
f 13102 13145 13154
f 13114 13147 13165
f 13114 13165 13115
f 13115 13160 13108
f 13148 13166 13116
f 13167 13148 13117
f 13168 13117 13118
f 13119 13169 13118
f 13119 13121 13169
f 13123 13170 13120
f 13120 13171 13121
f 13172 13122 13125
f 13122 13173 13123
f 13129 13133 13180
f 13149 13129 13181
f 13104 13154 13156
f 13105 13156 13157
f 13133 13157 13185
f 13160 13161 13109
f 13161 13162 13110
f 13162 13163 13111
f 13163 13164 13112
f 13137 13187 13136
f 13138 13188 13137
f 13164 13189 13138
f 13139 13190 13147
f 13136 13187 13140
f 13140 13191 13142
f 13142 13192 13145
f 13145 13195 13154
f 13147 13197 13165
f 13160 13115 13165
f 13198 13166 13148
f 13167 13198 13148
f 13168 13167 13117
f 13169 13168 13118
f 13199 13169 13121
f 13173 13170 13123
f 13170 13171 13120
f 13171 13199 13121
f 13172 13173 13122
f 13149 13181 13176
f 13133 13185 13180
f 13181 13129 13180
f 13154 13203 13156
f 13156 13205 13157
f 13157 13206 13185
f 13161 13160 13209
f 13162 13161 13210
f 13162 13211 13163
f 13164 13163 13212
f 13187 13137 13188
f 13138 13189 13188
f 13164 13213 13189
f 13147 13190 13197
f 13187 13191 13140
f 13191 13192 13142
f 13145 13192 13195
f 13154 13195 13203
f 13165 13197 13209
f 13165 13209 13160
f 13198 13204 13166
f 13167 13214 13198
f 13168 13215 13167
f 13169 13216 13168
f 13169 13199 13216
f 13173 13181 13170
f 13170 13180 13171
f 13171 13185 13199
f 13176 13173 13172
f 13176 13181 13173
f 13180 13185 13171
f 13181 13180 13170
f 13156 13203 13205
f 13157 13205 13206
f 13185 13206 13199
f 13209 13210 13161
f 13210 13211 13162
f 13211 13212 13163
f 13212 13213 13164
f 13188 13223 13187
f 13189 13224 13188
f 13213 13225 13189
f 13190 13193 13197
f 13191 13187 13223
f 13192 13191 13226
f 13192 13226 13195
f 13193 13194 13227
f 13194 13196 13228
f 13195 13229 13203
f 13196 13202 13230
f 13197 13227 13209
f 13198 13231 13204
f 13215 13214 13167
f 13214 13231 13198
f 13216 13215 13168
f 13206 13216 13199
f 13202 13207 13233
f 13205 13203 13234
f 13231 13221 13204
f 13206 13205 13216
f 13207 13222 13235
f 13209 13227 13210
f 13210 13228 13211
f 13211 13230 13212
f 13212 13233 13213
f 13223 13188 13224
f 13189 13225 13224
f 13213 13235 13225
f 13197 13193 13227
f 13223 13226 13191
f 13229 13195 13226
f 13227 13194 13228
f 13228 13196 13230
f 13237 13203 13229
f 13230 13202 13233
f 13215 13238 13214
f 13214 13239 13231
f 13216 13234 13215
f 13233 13207 13235
f 13203 13237 13234
f 13205 13234 13216
f 13231 13242 13221
f 13235 13222 13243
f 13243 13222 13236
f 13227 13228 13210
f 13228 13230 13211
f 13230 13233 13212
f 13233 13235 13213
f 13224 13244 13223
f 13225 13245 13224
f 13235 13243 13225
f 13226 13223 13244
f 13226 13244 13229
f 13229 13246 13237
f 13234 13238 13215
f 13238 13239 13214
f 13239 13242 13231
f 13242 13241 13221
f 13237 13248 13234
f 13249 13243 13236
f 13224 13245 13244
f 13225 13243 13245
f 13246 13229 13244
f 13248 13237 13246
f 13238 13234 13248
f 13238 13248 13239
f 13239 13250 13242
f 13242 13251 13241
f 13249 13236 13247
f 13245 13243 13249
f 13244 13245 13246
f 13248 13246 13250
f 13248 13250 13239
f 13250 13251 13242
f 13251 13247 13241
f 13251 13249 13247
f 13252 13245 13249
f 13252 13246 13245
f 13246 13252 13250
f 13250 13252 13251
f 13252 13249 13251
usemtl material_1_24
s off
f 12758 12799 12760
f 12759 12801 12758
f 12761 12802 12759
f 12780 12803 12761
f 12760 12806 12783
f 12760 12799 12806
f 12758 12801 12799
f 12759 12802 12801
f 12761 12803 12802
f 12780 12828 12803
f 12783 12806 12804
f 12826 12828 12780
f 12826 12879 12828
f 12878 12879 12826
f 12878 12926 12879
f 12892 12926 12878
f 12893 12938 12892
f 12894 12940 12893
f 12895 12942 12894
f 12911 12943 12895
f 12900 12950 12911
f 12923 12952 12900
f 12892 12938 12926
f 12893 12940 12938
f 12894 12942 12940
f 12895 12943 12942
f 12911 12950 12943
f 12900 12952 12950
f 12923 12973 12952
f 12971 12973 12923
f 12971 13025 12973
f 13023 13025 12971
f 13023 13072 13025
f 13071 13072 13023
f 13071 13126 13072
f 13124 13126 13071
f 13124 13174 13126
f 13174 13124 13175
usemtl material_3_24
f 12760 12799 12758
f 12758 12801 12759
f 12759 12802 12761
f 12761 12803 12780
f 12783 12806 12760
f 12806 12799 12760
f 12799 12801 12758
f 12801 12802 12759
f 12802 12803 12761
f 12803 12828 12780
f 12804 12806 12783
f 12780 12828 12826
f 12828 12879 12826
f 12826 12879 12878
f 12879 12926 12878
f 12878 12926 12892
f 12892 12938 12893
f 12893 12940 12894
f 12894 12942 12895
f 12895 12943 12911
f 12911 12950 12900
f 12900 12952 12923
f 12926 12938 12892
f 12938 12940 12893
f 12940 12942 12894
f 12942 12943 12895
f 12943 12950 12911
f 12950 12952 12900
f 12952 12973 12923
f 12923 12973 12971
f 12973 13025 12971
f 12971 13025 13023
f 13025 13072 13023
f 13023 13072 13071
f 13072 13126 13071
f 13071 13126 13124
f 13126 13174 13124
f 13175 13124 13174
s 1
f 12647 12646 12645
f 12646 12648 12645
f 12646 12647 12649
f 12647 12645 12650
f 12645 12648 12651
f 12646 12652 12648
f 12653 12649 12647
f 12649 12654 12646
f 12650 12645 12655
f 12656 12647 12650
f 12651 12648 12657
f 12645 12651 12655
f 12652 12657 12648
f 12646 12654 12652
f 12658 12649 12653
f 12653 12647 12656
f 12649 12659 12654
f 12650 12655 12660
f 12650 12661 12656
f 12651 12657 12662
f 12655 12651 12663
f 12657 12652 12664
f 12665 12652 12654
f 12658 12659 12649
f 12666 12658 12653
f 12667 12653 12656
f 12659 12665 12654
f 12660 12655 12668
f 12661 12650 12660
f 12669 12656 12661
f 12662 12657 12670
f 12663 12651 12662
f 12655 12663 12668
f 12652 12671 12664
f 12664 12672 12657
f 12652 12665 12673
f 12658 12674 12659
f 12658 12666 12675
f 12653 12667 12666
f 12656 12669 12667
f 12659 12676 12665
f 12660 12668 12677
f 12660 12678 12661
f 12661 12679 12669
f 12657 12672 12670
f 12670 12680 12662
f 12663 12662 12681
f 12668 12663 12682
f 12664 12671 12683
f 12652 12673 12671
f 12664 12683 12672
f 12665 12684 12673
f 12674 12676 12659
f 12658 12685 12674
f 12686 12675 12666
f 12685 12658 12675
f 12687 12666 12667
f 12688 12667 12669
f 12676 12689 12665
f 12677 12668 12690
f 12678 12660 12677
f 12679 12661 12678
f 12691 12669 12679
f 12672 12692 12670
f 12681 12662 12680
f 12670 12693 12680
f 12682 12663 12681
f 12668 12682 12690
f 12671 12694 12683
f 12673 12695 12671
f 12683 12696 12672
f 12673 12684 12695
f 12665 12689 12684
f 12674 12697 12676
f 12698 12674 12685
f 12675 12686 12699
f 12666 12687 12686
f 12675 12700 12685
f 12667 12688 12687
f 12669 12691 12688
f 12676 12701 12689
f 12677 12690 12702
f 12677 12703 12678
f 12678 12704 12679
f 12679 12705 12691
f 12692 12693 12670
f 12672 12696 12692
f 12681 12680 12706
f 12693 12707 12680
f 12682 12681 12708
f 12690 12682 12709
f 12694 12710 12683
f 12671 12695 12694
f 12683 12710 12696
f 12684 12711 12695
f 12689 12712 12684
f 12713 12676 12697
f 12674 12698 12697
f 12685 12714 12698
f 12715 12699 12686
f 12700 12675 12699
f 12716 12686 12687
f 12714 12685 12700
f 12717 12687 12688
f 12718 12688 12691
f 12701 12719 12689
f 12676 12713 12701
f 12702 12690 12720
f 12703 12677 12702
f 12704 12678 12703
f 12705 12679 12704
f 12721 12691 12705
f 12693 12692 12722
f 12692 12696 12723
f 12680 12707 12706
f 12708 12681 12706
f 12724 12707 12693
f 12709 12682 12708
f 12690 12709 12720
f 12694 12725 12710
f 12695 12726 12694
f 12696 12710 12727
f 12695 12711 12726
f 12684 12712 12711
f 12689 12719 12712
f 12697 12728 12713
f 12728 12697 12698
f 12729 12698 12714
f 12730 12699 12715
f 12715 12686 12716
f 12699 12730 12700
f 12716 12687 12717
f 12700 12731 12714
f 12717 12688 12718
f 12691 12721 12718
f 12701 12732 12719
f 12733 12701 12713
f 12702 12720 12734
f 12703 12702 12735
f 12704 12703 12736
f 12705 12704 12737
f 12721 12705 12738
f 12692 12723 12722
f 12693 12722 12724
f 12696 12727 12723
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usemtl material_8_24
f 12657 12648 12651
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f 12662 12657 12651
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f 12670 12657 12662
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f 12664 12671 12652
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o mesh31.001_mesh31-geometry
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usemtl material_0_24
s 1
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usemtl material_1_24
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f 13269 13260 13266
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usemtl material_2_24
s off
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s 1
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usemtl material_3_24
s off
f 13276 13273 13274
f 13273 13276 13275
usemtl material_7_24
f 13253 13254 13255
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f 13257 13255 13254
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o mesh30.001_mesh30-geometry
v -0.0279523 -0.0633086 0.0344097
v -0.0279523 -0.0691363 0.0338537
v -0.0279523 -0.0693448 0.0344097
v -0.0279523 -0.0633086 0.0338537
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usemtl material_0_24
s 1
f 13279 13282 13277
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usemtl material_1_24
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f 13291 13285 13287
f 13290 13285 13293
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usemtl material_2_24
s off
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f 13283 13277 13280
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s 1
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f 13300 13295 13299
usemtl material_7_24
s off
f 13277 13278 13279
f 13278 13277 13280
f 13281 13279 13278
f 13280 13277 13283
f 13285 13281 13278
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usemtl material_2_24
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usemtl material_6_24
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f 14338 14413 14475
f 14441 14440 14499
f 14441 14499 14476
f 14359 14476 14519
f 14527 14402 14488
f 14489 14347 14528
f 14456 14489 14457
f 14490 14457 14529
f 14530 14404 14490
f 14491 14404 14530
f 14493 14333 14531
f 14460 14493 14461
f 14461 14532 14494
f 14347 14496 14534
f 14496 14463 14497
f 14497 14431 14498
f 14498 14462 14535
f 14499 14334 14536
f 14538 14500 14433
f 14500 14539 14433
f 14465 14544 14503
f 14433 14503 14545
f 14390 14546 14504
f 14465 14504 14544
f 14505 14466 14470
f 14466 14506 14539
f 14547 14506 14433
f 14467 14501 14507
f 14501 14402 14548
f 14550 14468 14508
f 14509 14468 14551
f 14553 14510 14469
f 14554 14469 14509
f 14471 14557 14512
f 14436 14512 14513
f 14472 14513 14558
f 14472 14559 14514
f 14390 14514 14546
f 14359 14560 14515
f 14515 14516 14473
f 14437 14516 14517
f 14471 14517 14557
f 14562 14474 14518
f 14475 14474 14562
f 14338 14475 14562
f 14476 14499 14519
f 14359 14519 14560
f 14569 14402 14527
f 14528 14347 14534
f 14489 14528 14570
f 14457 14489 14570
f 14529 14457 14571
f 14531 14333 14572
f 14493 14531 14532
f 14461 14493 14532
f 14574 14462 14533
f 14534 14496 14497
f 14534 14497 14498
f 14535 14462 14574
f 14575 14498 14535
f 14536 14334 14516
f 14519 14499 14536
f 14500 14538 14580
f 14433 14577 14538
f 14433 14539 14581
f 14578 14500 14539
f 14539 14500 14578
f 14507 14501 14540
f 14578 14541 14501
f 14584 14502 14542
f 14543 14502 14584
f 14503 14544 14586
f 14503 14586 14545
f 14433 14545 14587
f 14546 14588 14504
f 14504 14589 14544
f 14547 14539 14506
f 14591 14547 14433
f 14548 14402 14592
f 14593 14501 14548
f 14594 14508 14549
f 14551 14468 14550
f 14550 14508 14595
f 14596 14509 14551
f 14553 14552 14510
f 14553 14469 14554
f 14554 14509 14596
f 14512 14557 14513
f 14513 14600 14558
f 14472 14558 14559
f 14514 14559 14601
f 14514 14601 14546
f 14560 14536 14515
f 14515 14536 14516
f 14516 14334 14517
f 14517 14602 14557
f 14562 14518 14561
f 14338 14562 14603
f 14519 14536 14560
f 14613 14402 14569
f 14528 14534 14570
f 14457 14570 14571
f 14572 14333 14614
f 14531 14572 14532
f 14570 14534 14498
f 14618 14498 14575
f 14500 14578 14576
f 14576 14578 14500
f 14500 14620 14577
f 14538 14577 14580
f 14500 14580 14620
f 14433 14623 14577
f 14581 14539 14624
f 14581 14624 14433
f 14539 14625 14578
f 14578 14625 14539
f 14541 14578 14582
f 14629 14542 14583
f 14584 14542 14629
f 14630 14585 14543
f 14631 14543 14584
f 14544 14632 14586
f 14545 14586 14633
f 14545 14633 14587
f 14433 14587 14634
f 14546 14601 14588
f 14504 14588 14589
f 14544 14589 14635
f 14591 14539 14547
f 14637 14591 14433
f 14592 14402 14638
f 14639 14501 14593
f 14640 14549 14585
f 14595 14508 14594
f 14594 14549 14640
f 14596 14551 14550
f 14641 14550 14595
f 14603 14597 14552
f 14603 14552 14553
f 14338 14553 14554
f 14602 14554 14596
f 14513 14557 14600
f 14558 14600 14559
f 14559 14602 14601
f 14517 14334 14644
f 14517 14644 14602
f 14557 14602 14600
f 14603 14561 14597
f 14562 14561 14603
f 14338 14603 14553
f 14652 14402 14613
f 14571 14570 14653
f 14614 14333 14654
f 14572 14614 14532
f 14532 14614 14615
f 14570 14498 14660
f 14660 14498 14618
f 14577 14622 14619
f 14580 14577 14620
f 14661 14578 14621
f 14577 14579 14622
f 14433 14662 14623
f 14624 14539 14637
f 14624 14637 14433
f 14625 14539 14611
f 14611 14539 14625
f 14578 14625 14659
f 14659 14625 14578
f 14582 14578 14627
f 14626 14501 14663
f 14666 14583 14628
f 14629 14583 14666
f 14632 14584 14629
f 14640 14585 14630
f 14630 14543 14631
f 14631 14584 14635
f 14544 14635 14632
f 14586 14632 14633
f 14587 14633 14667
f 14587 14667 14634
f 14433 14634 14668
f 14601 14635 14588
f 14588 14635 14589
f 14637 14539 14591
f 14638 14402 14669
f 14670 14501 14639
f 14641 14595 14594
f 14602 14594 14640
f 14596 14550 14641
f 14338 14554 14644
f 14644 14554 14602
f 14602 14596 14641
f 14559 14600 14602
f 14601 14602 14635
f 14402 14652 14669
f 14652 14613 14677
f 14653 14570 14679
f 14654 14333 14680
f 14614 14654 14615
f 14615 14680 14655
f 14679 14570 14660
f 14664 14578 14661
f 14433 14668 14662
f 14668 14623 14662
f 14627 14578 14664
f 14663 14501 14670
f 14687 14628 14665
f 14666 14628 14687
f 14632 14629 14666
f 14635 14584 14632
f 14635 14640 14630
f 14635 14630 14631
f 14633 14632 14667
f 14634 14667 14632
f 14634 14623 14668
f 14641 14594 14602
f 14602 14640 14635
f 14669 14652 14677
f 14677 14613 14678
f 14680 14333 14692
f 14654 14680 14615
f 14623 14686 14685
f 14623 14665 14686
f 14687 14665 14632
f 14632 14666 14687
f 14634 14632 14623
f 14692 14333 14700
f 14632 14665 14623
f 14700 14333 14710
f 14710 14333 14719
f 14719 14333 14731
f 14731 14333 14741
f 14741 14333 14745
f 14745 14333 14733
f 14763 14773 14760
f 14790 14772 14783
f 14784 14772 14792
f 14773 14784 14760
f 14772 14790 14799
f 14792 14772 14799
f 14784 14792 14760
f 14798 14799 14790
f 14792 14799 14760
f 14798 14760 14799
f 14800 14805 14796
f 14796 14798 14811
f 14804 14809 14798
f 14810 14813 14805
f 14796 14805 14813
f 14818 14811 14798
f 14809 14816 14798
f 14810 14817 14813
f 14822 14818 14798
f 14816 14820 14798
f 14817 14821 14813
f 14820 14822 14798
f 14821 14824 14813
f 14824 14826 14813
f 14825 14813 14826
s 1
f 14337 14333 14335
f 14335 14333 14337
f 14333 14337 14341
f 14341 14337 14333
f 14341 14338 14333
f 14337 14346 14341
f 14341 14346 14337
f 14347 14341 14333
f 14338 14341 14348
f 14346 14337 14343
f 14343 14337 14346
f 14346 14348 14341
f 14341 14354 14346
f 14341 14347 14355
f 14359 14346 14343
f 14343 14346 14359
f 14348 14346 14357
f 14341 14367 14354
f 14354 14368 14346
f 14355 14369 14341
f 14346 14359 14374
f 14374 14359 14346
f 14357 14346 14372
f 14341 14382 14367
f 14346 14368 14383
f 14341 14369 14382
f 14390 14374 14359
f 14359 14374 14390
f 14374 14391 14346
f 14346 14383 14374
f 14372 14346 14388
f 14374 14390 14410
f 14410 14390 14374
f 14391 14374 14412
f 14413 14346 14391
f 14374 14383 14414
f 14388 14346 14408
f 14433 14410 14390
f 14390 14410 14433
f 14374 14402 14410
f 14410 14434 14374
f 14412 14374 14438
f 14439 14346 14413
f 14414 14402 14374
f 14408 14346 14432
f 14410 14433 14464
f 14464 14433 14410
f 14410 14402 14467
f 14434 14410 14468
f 14469 14374 14434
f 14438 14374 14474
f 14432 14346 14439
f 14425 14454 14487
f 14455 14425 14487
f 14462 14429 14495
f 14500 14464 14433
f 14433 14464 14500
f 14410 14501 14464
f 14464 14502 14410
f 14410 14467 14507
f 14468 14410 14508
f 14510 14374 14469
f 14474 14374 14518
f 14454 14459 14487
f 14488 14455 14487
f 14458 14491 14487
f 14492 14458 14487
f 14459 14492 14487
f 14429 14494 14495
f 14533 14462 14495
f 14464 14500 14537
f 14537 14500 14464
f 14540 14501 14410
f 14464 14501 14541
f 14502 14464 14542
f 14543 14410 14502
f 14410 14507 14540
f 14508 14410 14549
f 14552 14374 14510
f 14518 14374 14561
f 14527 14488 14487
f 14490 14529 14487
f 14530 14490 14487
f 14491 14530 14487
f 14494 14532 14573
f 14573 14495 14494
f 14495 14487 14533
f 14500 14537 14576
f 14577 14537 14500
f 14464 14578 14537
f 14537 14579 14464
f 14464 14541 14582
f 14542 14464 14583
f 14585 14410 14543
f 14549 14410 14585
f 14597 14374 14552
f 14561 14374 14597
f 14569 14527 14487
f 14529 14571 14487
f 14532 14615 14573
f 14495 14573 14616
f 14574 14533 14487
f 14487 14495 14617
f 14535 14574 14487
f 14575 14535 14487
f 14537 14578 14576
f 14619 14537 14577
f 14621 14578 14464
f 14579 14537 14622
f 14577 14464 14579
f 14501 14626 14578
f 14464 14582 14627
f 14583 14464 14628
f 14548 14592 14578
f 14593 14548 14578
f 14613 14569 14487
f 14571 14653 14487
f 14615 14655 14573
f 14616 14573 14656
f 14495 14616 14657
f 14617 14495 14658
f 14487 14617 14659
f 14618 14575 14487
f 14622 14537 14619
f 14464 14661 14621
f 14623 14464 14577
f 14626 14663 14578
f 14464 14627 14664
f 14628 14464 14665
f 14592 14638 14578
f 14639 14593 14578
f 14678 14613 14487
f 14653 14679 14487
f 14681 14573 14655
f 14656 14573 14682
f 14616 14656 14657
f 14683 14495 14657
f 14658 14495 14684
f 14617 14658 14659
f 14578 14487 14659
f 14660 14618 14487
f 14464 14664 14661
f 14685 14464 14623
f 14659 14657 14625
f 14663 14670 14578
f 14665 14464 14686
f 14638 14669 14578
f 14670 14639 14578
f 14487 14578 14678
f 14679 14660 14487
f 14573 14681 14693
f 14655 14680 14681
f 14682 14573 14694
f 14656 14682 14657
f 14695 14495 14683
f 14657 14659 14683
f 14684 14495 14695
f 14658 14684 14659
f 14686 14464 14685
f 14657 14697 14625
f 14669 14677 14578
f 14677 14678 14578
f 14680 14692 14681
f 14693 14681 14701
f 14573 14693 14702
f 14694 14573 14703
f 14682 14694 14657
f 14695 14683 14659
f 14684 14695 14659
f 14697 14705 14625
f 14657 14702 14697
f 14692 14700 14681
f 14681 14711 14701
f 14701 14702 14693
f 14703 14573 14702
f 14694 14703 14657
f 14705 14713 14625
f 14697 14702 14705
f 14702 14657 14703
f 14700 14710 14681
f 14720 14701 14711
f 14681 14721 14711
f 14702 14701 14722
f 14713 14724 14625
f 14705 14702 14713
f 14710 14719 14681
f 14701 14720 14732
f 14711 14721 14720
f 14721 14681 14733
f 14722 14701 14734
f 14702 14722 14735
f 14724 14736 14625
f 14713 14702 14724
f 14719 14731 14681
f 14732 14720 14742
f 14701 14732 14743
f 14721 14744 14720
f 14745 14733 14681
f 14733 14333 14721
f 14734 14701 14743
f 14722 14734 14735
f 14736 14702 14735
f 14735 14625 14736
f 14724 14702 14736
f 14731 14741 14681
f 14720 14751 14742
f 14742 14743 14732
f 14752 14720 14744
f 14721 14753 14744
f 14741 14745 14681
f 14333 14754 14721
f 14743 14735 14734
f 14735 14755 14625
f 14762 14742 14751
f 14720 14752 14751
f 14743 14742 14763
f 14744 14753 14752
f 14753 14721 14764
f 14754 14765 14721
f 14735 14743 14755
f 14755 14766 14625
f 14742 14762 14772
f 14751 14752 14762
f 14763 14742 14773
f 14743 14763 14760
f 14774 14752 14753
f 14765 14764 14721
f 14753 14764 14775
f 14754 14775 14765
f 14755 14743 14766
f 14766 14776 14625
f 14762 14783 14772
f 14742 14772 14784
f 14752 14785 14762
f 14773 14742 14784
f 14786 14743 14760
f 14752 14774 14785
f 14775 14774 14753
f 14765 14775 14764
f 14766 14743 14776
f 14776 14787 14625
f 14760 14625 14786
f 14762 14791 14783
f 14791 14762 14785
f 14793 14743 14786
f 14785 14774 14791
f 14775 14794 14774
f 14776 14743 14787
f 14787 14793 14625
f 14793 14786 14625
f 14783 14791 14790
f 14787 14743 14793
f 14794 14791 14774
f 14794 14775 14800
f 14790 14791 14798
f 14791 14794 14804
f 14800 14775 14805
f 14794 14800 14796
f 14791 14804 14798
f 14804 14794 14809
f 14810 14805 14775
f 14811 14794 14796
f 14809 14794 14816
f 14810 14775 14817
f 14818 14794 14811
f 14816 14794 14820
f 14817 14775 14821
f 14822 14794 14818
f 14820 14794 14822
f 14821 14775 14824
f 14824 14775 14826
f 14826 14775 14825
f 14827 14825 14775
usemtl material_4_24
s off
f 14335 14337 14334
f 14339 14334 14337
f 14340 14337 14335
f 14342 14334 14339
f 14337 14340 14344
f 14345 14335 14340
f 14340 14335 14345
f 14349 14334 14342
f 14352 14335 14345
f 14345 14335 14352
f 14345 14340 14353
f 14353 14340 14345
f 14356 14333 14347
f 14357 14348 14338
f 14358 14334 14349
f 14364 14335 14352
f 14352 14335 14364
f 14353 14340 14366
f 14366 14340 14353
f 14370 14333 14356
f 14356 14347 14371
f 14372 14357 14338
f 14373 14334 14358
f 14379 14335 14364
f 14364 14335 14379
f 14366 14340 14381
f 14381 14340 14366
f 14385 14333 14370
f 14371 14347 14387
f 14388 14372 14338
f 14389 14334 14373
f 14398 14335 14379
f 14379 14335 14398
f 14381 14340 14400
f 14400 14340 14381
f 14405 14333 14385
f 14387 14347 14407
f 14408 14388 14338
f 14409 14334 14389
f 14421 14335 14398
f 14398 14335 14421
f 14400 14340 14424
f 14424 14340 14400
f 14428 14333 14405
f 14407 14347 14430
f 14432 14408 14338
f 14393 14334 14409
f 14448 14335 14421
f 14421 14335 14448
f 14424 14340 14451
f 14451 14340 14424
f 14460 14333 14428
f 14430 14347 14463
f 14439 14432 14338
f 14440 14334 14393
f 14390 14433 14465
f 14390 14466 14433
f 14466 14435 14395
f 14413 14439 14338
f 14482 14335 14448
f 14448 14335 14482
f 14493 14333 14460
f 14463 14347 14496
f 14499 14334 14440
f 14503 14465 14433
f 14505 14466 14390
f 14433 14466 14506
f 14402 14467 14501
f 14435 14466 14470
f 14511 14395 14466
f 14466 14395 14511
f 14475 14413 14338
f 14523 14335 14482
f 14482 14335 14523
f 14531 14333 14493
f 14536 14334 14499
f 14545 14503 14433
f 14470 14466 14505
f 14433 14506 14547
f 14507 14501 14467
f 14548 14402 14501
f 14555 14395 14511
f 14511 14395 14555
f 14511 14466 14556
f 14556 14466 14511
f 14562 14475 14338
f 14564 14335 14523
f 14523 14335 14564
f 14572 14333 14531
f 14516 14334 14536
f 14538 14577 14433
f 14540 14501 14507
f 14587 14545 14433
f 14433 14547 14591
f 14592 14402 14548
f 14548 14501 14593
f 14598 14395 14555
f 14555 14395 14598
f 14556 14466 14599
f 14599 14466 14556
f 14517 14334 14516
f 14557 14602 14517
f 14603 14562 14338
f 14606 14335 14564
f 14564 14335 14606
f 14614 14333 14572
f 14580 14577 14538
f 14577 14623 14433
f 14433 14624 14581
f 14634 14587 14433
f 14636 14466 14590
f 14590 14466 14636
f 14433 14591 14637
f 14638 14402 14592
f 14593 14501 14639
f 14554 14553 14338
f 14596 14554 14602
f 14642 14395 14598
f 14598 14395 14642
f 14599 14466 14643
f 14643 14466 14599
f 14644 14334 14517
f 14602 14644 14517
f 14600 14602 14557
f 14553 14603 14338
f 14647 14335 14606
f 14606 14335 14647
f 14654 14333 14614
f 14619 14622 14577
f 14620 14577 14580
f 14622 14579 14577
f 14623 14662 14433
f 14433 14637 14624
f 14663 14501 14626
f 14668 14634 14433
f 14643 14466 14636
f 14636 14466 14643
f 14669 14402 14638
f 14639 14501 14670
f 14644 14554 14338
f 14602 14554 14644
f 14641 14596 14602
f 14642 14645 14395
f 14395 14645 14642
f 14671 14604 14645
f 14645 14604 14671
f 14673 14335 14647
f 14647 14335 14673
f 14669 14652 14402
f 14677 14613 14652
f 14680 14333 14654
f 14662 14668 14433
f 14670 14501 14663
f 14671 14645 14642
f 14642 14645 14671
f 14672 14604 14671
f 14671 14604 14672
f 14688 14335 14673
f 14673 14335 14688
f 14677 14652 14669
f 14678 14613 14677
f 14692 14333 14680
f 14698 14335 14688
f 14688 14335 14698
f 14700 14333 14692
f 14706 14335 14698
f 14698 14335 14706
f 14710 14333 14700
f 14714 14335 14706
f 14706 14335 14714
f 14719 14333 14710
f 14725 14335 14714
f 14714 14335 14725
f 14731 14333 14719
f 14729 14335 14725
f 14725 14335 14729
f 14716 14335 14729
f 14729 14335 14716
f 14741 14333 14731
f 14745 14333 14741
f 14733 14333 14745
f 14759 14760 14748
f 14748 14760 14759
f 14769 14760 14759
f 14759 14760 14769
f 14760 14773 14763
f 14780 14760 14769
f 14769 14760 14780
f 14760 14784 14773
f 14789 14760 14780
f 14780 14760 14789
f 14760 14792 14784
f 14795 14796 14788
f 14788 14796 14795
f 14760 14789 14798
f 14798 14789 14760
f 14760 14799 14792
f 14801 14796 14795
f 14795 14796 14801
f 14799 14760 14798
f 14796 14805 14800
f 14806 14813 14801
f 14801 14813 14806
f 14796 14801 14813
f 14813 14801 14796
f 14805 14813 14810
f 14813 14805 14796
f 14812 14813 14806
f 14806 14813 14812
f 14813 14817 14810
f 14819 14813 14812
f 14812 14813 14819
f 14813 14821 14817
f 14823 14813 14819
f 14819 14813 14823
f 14813 14824 14821
f 14813 14823 14825
f 14825 14823 14813
f 14813 14826 14824
f 14826 14813 14825
s 1
f 14333 14338 14341
f 14333 14341 14347
f 14348 14341 14338
f 14355 14347 14341
f 14477 14442 14416
f 14416 14442 14477
f 14477 14416 14443
f 14443 14416 14477
f 14477 14446 14419
f 14419 14446 14477
f 14477 14419 14447
f 14447 14419 14477
f 14477 14447 14420
f 14420 14447 14477
f 14477 14420 14442
f 14442 14420 14477
f 14487 14454 14425
f 14487 14425 14455
f 14464 14501 14410
f 14410 14502 14464
f 14477 14443 14478
f 14478 14443 14477
f 14477 14480 14445
f 14445 14480 14477
f 14477 14445 14481
f 14481 14445 14477
f 14477 14481 14446
f 14446 14481 14477
f 14484 14477 14450
f 14450 14477 14484
f 14487 14459 14454
f 14487 14455 14488
f 14487 14491 14458
f 14487 14458 14492
f 14487 14492 14459
f 14410 14501 14540
f 14541 14501 14464
f 14542 14464 14502
f 14477 14478 14520
f 14520 14478 14477
f 14477 14522 14480
f 14480 14522 14477
f 14477 14484 14525
f 14525 14484 14477
f 14450 14567 14477
f 14477 14567 14450
f 14477 14525 14486
f 14486 14525 14477
f 14477 14486 14526
f 14526 14486 14477
f 14487 14488 14527
f 14487 14529 14490
f 14487 14490 14530
f 14487 14530 14491
f 14533 14487 14495
f 14582 14541 14464
f 14583 14464 14542
f 14477 14520 14563
f 14563 14520 14477
f 14477 14605 14522
f 14522 14605 14477
f 14566 14609 14450
f 14450 14609 14566
f 14450 14610 14567
f 14567 14610 14450
f 14477 14526 14568
f 14568 14526 14477
f 14487 14527 14569
f 14487 14571 14529
f 14487 14533 14574
f 14617 14495 14487
f 14487 14574 14535
f 14487 14535 14575
f 14579 14464 14577
f 14627 14582 14464
f 14628 14464 14583
f 14477 14563 14604
f 14604 14563 14477
f 14477 14646 14605
f 14605 14646 14477
f 14608 14609 14566
f 14566 14609 14608
f 14450 14609 14650
f 14650 14609 14450
f 14450 14651 14610
f 14610 14651 14450
f 14477 14568 14612
f 14612 14568 14477
f 14487 14569 14613
f 14487 14653 14571
f 14657 14616 14495
f 14658 14495 14617
f 14487 14575 14618
f 14621 14661 14464
f 14577 14464 14623
f 14664 14627 14464
f 14665 14464 14628
f 14477 14604 14672
f 14672 14604 14477
f 14477 14612 14646
f 14646 14612 14477
f 14649 14609 14608
f 14608 14609 14649
f 14450 14650 14676
f 14676 14650 14450
f 14450 14676 14651
f 14651 14676 14450
f 14487 14613 14678
f 14487 14679 14653
f 14657 14656 14616
f 14657 14495 14683
f 14684 14495 14658
f 14487 14618 14660
f 14661 14664 14464
f 14623 14464 14685
f 14686 14464 14665
f 14675 14609 14649
f 14649 14609 14675
f 14487 14660 14679
f 14657 14682 14656
f 14683 14495 14695
f 14695 14495 14684
f 14685 14464 14686
f 14691 14609 14675
f 14675 14609 14691
f 14657 14694 14682
f 14690 14696 14609
f 14609 14696 14690
f 14697 14702 14657
f 14609 14691 14690
f 14690 14691 14609
f 14657 14703 14694
f 14690 14704 14696
f 14696 14704 14690
f 14705 14702 14697
f 14703 14657 14702
f 14709 14718 14690
f 14690 14718 14709
f 14690 14712 14704
f 14704 14712 14690
f 14713 14702 14705
f 14708 14335 14716
f 14716 14335 14708
f 14717 14718 14709
f 14709 14718 14717
f 14690 14718 14730
f 14730 14718 14690
f 14735 14722 14702
f 14690 14723 14712
f 14712 14723 14690
f 14724 14702 14713
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o mesh2.001_mesh2-geometry
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v 0.297436 -0.0679447 -0.0110184
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v 0.269324 -0.0770581 -0.0140302
v 0.299031 -0.0790616 -0.0121337
v 0.270313 -0.0836877 -0.0139647
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v 0.299031 -0.0790616 0.0121878
v 0.298169 -0.0732804 0.0122479
v 0.270313 -0.0836877 0.0140189
v 0.268477 -0.0708974 0.0127344
v 0.297436 -0.0679447 0.0110721
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================================================
FILE: demo_render/sample_model2/model_source.txt
================================================
shapenetcore/02691156/1caa02b831cccff090baeef8ba5b93e5
================================================
FILE: demo_render/sample_truncations.txt
================================================
0 0.2 0 0
0.2 0 0 0
0 0 0 -0.3
0 0 0.2 0
================================================
FILE: demo_render/sample_viewpoints.txt
================================================
45 20 0 2.0
120 40 3 2.5
0 10 0 3
240 25 2 2.4
================================================
FILE: demo_view/.gitignore
================================================
*.txt
*.log
*.png
================================================
FILE: demo_view/README.md
================================================
Render for CNN: demo of usages of the off-the-shelf viewpoint estiamtor on images of objects in PASCAL3D+ classes.
python run_demo.py
To visualize the viewpoint by rendering an object in the estimated viewpoint:
python run_visualize_3dview.py
reference results (estimated view and rendered image of an object in that view) are in `ref_output`.
*NOTE:* You can change input image filename in `run_demo.py` and CAD model path in `run_visualize_3dview.py` to run demo on different image of other object in PASCAL3D_ classes. For batch processing, you would create a list of image filenames and a list of their class indices (can be acquired by `g_shape_names.index()`) and use the `viewpoint` function as in `run_demo.py`.
================================================
FILE: demo_view/run_demo.py
================================================
#!/usr/bin/python
# -*- coding: utf-8 -*-
import os
import sys
import argparse
BASE_DIR = os.path.dirname(os.path.abspath(__file__))
sys.path.append(BASE_DIR)
sys.path.append(os.path.dirname(BASE_DIR))
from global_variables import *
sys.path.append(os.path.join(g_render4cnn_root_folder, 'view_estimation'))
from evaluation_helper import viewpoint
if __name__ == '__main__':
img_filenames = [os.path.join(BASE_DIR, 'aeroplane_image.jpg')]
class_idxs = [g_shape_names.index('aeroplane')]
output_result_file = os.path.join(BASE_DIR, 'est-view.txt')
if not os.path.exists(output_result_file):
viewpoint(img_filenames, class_idxs, output_result_file)
# display result by rendering an image of estimated viewpoint
estimated_viewpoints = [[float(x) for x in line.rstrip().split(' ')] for line in open(output_result_file,'r')]
v = estimated_viewpoints[0]
print "Estimated view: ", v
================================================
FILE: demo_view/run_demo_topk.py
================================================
#!/usr/bin/python
# -*- coding: utf-8 -*-
import os
import sys
import argparse
BASE_DIR = os.path.dirname(os.path.abspath(__file__))
sys.path.append(BASE_DIR)
sys.path.append(os.path.dirname(BASE_DIR))
from global_variables import *
sys.path.append(os.path.join(g_render4cnn_root_folder, 'view_estimation'))
from evaluation_helper import viewpoint_topk
if __name__ == '__main__':
#img_filenames = [os.path.join(BASE_DIR, 'aeroplane_image.jpg')]
#class_idxs = [g_shape_names.index('aeroplane')]
img_filenames = [os.path.join(BASE_DIR, 'chair_image.jpg')]
class_idxs = [g_shape_names.index('chair')]
output_result_file = os.path.join(BASE_DIR, 'est-view-topk.txt')
topk = 2
if not os.path.exists(output_result_file):
viewpoint_topk(img_filenames, class_idxs, topk, output_result_file)
# display result by rendering an image of estimated viewpoint
estimated_viewpoints = [[float(x) for x in line.rstrip().split(' ')] for line in open(output_result_file,'r')]
v = estimated_viewpoints[0]
topk = len(v)/4
print("Estimated views and confidence: ")
for k in range(topk):
a,e,t,c = v[4*k : 4*k+4]
print('rank:%d, confidence:%f, azimuth:%d, elevation:%d, tilt:%d' % (k+1, c, a, e, t))
================================================
FILE: demo_view/run_visualize_3dview.py
================================================
#!/usr/bin/python
# -*- coding: utf-8 -*-
import os
import sys
import argparse
from PIL import Image
BASE_DIR = os.path.dirname(os.path.abspath(__file__))
sys.path.append(BASE_DIR)
sys.path.append(os.path.dirname(BASE_DIR))
from global_variables import *
sys.path.append(os.path.join(g_render4cnn_root_folder, 'render_pipeline'))
if __name__ == '__main__':
img_filenames = [os.path.join(BASE_DIR, 'aeroplane_image.jpg')]
class_idxs = [g_shape_names.index('aeroplane')]
output_result_file = os.path.join(BASE_DIR, 'est-view.txt')
# display result by rendering an image of estimated viewpoint
estimated_viewpoints = [[float(x) for x in line.rstrip().split(' ')] for line in open(output_result_file,'r')]
v = estimated_viewpoints[0]
print "Estimated view: ", v
# Change the model.obj file to render images of a diferrent model/category
mdoel_obj_file = os.path.join(g_render4cnn_root_folder, 'demo_render', 'sample_model2', 'model.obj')
output_image = os.path.join(BASE_DIR, 'aeroplane_in_estimated_view.png')
io_redirect = '' #' > /dev/null 2>&1'
python_cmd = 'python %s -m %s -a %s -e %s -t %s -d %s -o %s' % (os.path.join(g_render4cnn_root_folder, 'demo_render', 'render_class_view.py'),
mdoel_obj_file, str(v[0]), str(v[1]), str(v[2]), str(1.0), output_image)
print ">> Running rendering command: \n \t %s" % (python_cmd)
os.system('%s %s' % (python_cmd, io_redirect))
print("Show both original aeroplane photo and rendered aeroplane in estimated view:")
im1 = Image.open(img_filenames[0])
im2 = Image.open(output_image)
bbox = im2.getbbox()
im2 = im2.crop(bbox)
im1.show()
im2.show()
================================================
FILE: demo_view/run_visualize_3dview_topk.py
================================================
#!/usr/bin/python
# -*- coding: utf-8 -*-
import os
import sys
import argparse
from PIL import Image
from PIL import ImageDraw
BASE_DIR = os.path.dirname(os.path.abspath(__file__))
sys.path.append(BASE_DIR)
sys.path.append(os.path.dirname(BASE_DIR))
from global_variables import *
sys.path.append(os.path.join(g_render4cnn_root_folder, 'render_pipeline'))
if __name__ == '__main__':
# Feel free to change input image file, result file, and model obj file for rendering
# --------------------------------
#### CHANGE BEG ####
output_result_file = os.path.join(BASE_DIR, 'est-view-topk.txt')
model_obj_file = os.path.join(g_render4cnn_root_folder, 'demo_render', 'sample_model', 'model.obj')
original_image_file = os.path.join(BASE_DIR, 'chair_image.jpg')
rendered_image_file_prefix = os.path.join(BASE_DIR, 'chair_in_estimated_view')
io_redirect = '' #' > /dev/null 2>&1'
#### CHANGE END ####
# --------------------------------
# Display estimated viewpoints that are read from result file
# suppress tilt for chairs
estimated_viewpoints = [[float(x) for x in line.rstrip().split(' ')] for line in open(output_result_file,'r')]
v = estimated_viewpoints[0]
topk = len(v)/4
print("Estimated views and confidence: ")
for k in range(topk):
a,e,t,c = v[4*k : 4*k+4]
print('rank:%d, confidence:%f, azimuth:%d, elevation:%d' % (k+1, c, a, e))
# Render images in estimated views
for k in range(topk):
a,e = v[4*k : 4*k+2]
python_cmd = 'python %s -m %s -a %s -e %s -t %s -d %s -o %s' % (os.path.join(g_render4cnn_root_folder, 'demo_render', 'render_class_view.py'),
model_obj_file, str(a), str(e), str(0), str(2.0), rendered_image_file_prefix+str(k)+'.png')
print ">> Running rendering command: \n \t %s" % (python_cmd)
os.system('%s %s' % (python_cmd, io_redirect))
print("Show both original aeroplane photo and rendered aeroplane in estimated view:")
im1 = Image.open(original_image_file)
im2s = []
for k in range(topk):
im2 = Image.open(rendered_image_file_prefix+str(k)+'.png')
bbox = im2.getbbox()
im2 = im2.crop(bbox)
draw = ImageDraw.Draw(im2)
draw.text((0,0), 'rank: %d, confidence: %f\nazimuth=%f, elevation=%f' % (k+1, v[4*k+3], v[4*k], v[4*k+1]), (0,255,0))
im2s.append(im2)
im1.show()
for k in range(topk):
im2s[k].show()
================================================
FILE: global_variables.py.example
================================================
#!/usr/bin/python
# -*- coding: utf-8 -*-
import os
import socket
g_render4cnn_root_folder = os.path.dirname(os.path.abspath(__file__))
# ------------------------------------------------------------
# PATHS
# ------------------------------------------------------------
g_blender_executable_path = 'blender' #!! MODIFY if necessary
g_matlab_executable_path = 'matlab' # !! MODIFY if necessary
g_data_folder = os.path.abspath(os.path.join(g_render4cnn_root_folder, 'data'))
g_datasets_folder = os.path.abspath(os.path.join(g_render4cnn_root_folder, 'datasets'))
g_shapenet_root_folder = os.path.join(g_datasets_folder, 'shapenetcore')
g_pascal3d_root_folder = os.path.join(g_datasets_folder, 'pascal3d')
g_sun2012pascalformat_root_folder = os.path.join(g_datasets_folder, 'sun2012pascalformat')
# ------------------------------------------------------------
# RENDER FOR CNN PIPELINE
# ------------------------------------------------------------
g_shape_synset_name_pairs = [('02691156', 'aeroplane'),
('02834778', 'bicycle'),
('02858304', 'boat'),
('02876657', 'bottle'),
('02924116', 'bus'),
('02958343', 'car'),
('03001627', 'chair'),
('04379243', 'diningtable'),
('03790512', 'motorbike'),
('04256520', 'sofa'),
('04468005', 'train'),
('03211117', 'tvmonitor')]
g_shape_synsets = [x[0] for x in g_shape_synset_name_pairs]
g_shape_names = [x[1] for x in g_shape_synset_name_pairs]
g_syn_images_folder = os.path.join(g_data_folder, 'syn_images')
g_syn_images_cropped_folder = os.path.join(g_data_folder, 'syn_images_cropped')
g_syn_images_bkg_overlaid_folder = os.path.join(g_data_folder, 'syn_images_cropped_bkg_overlaid')
g_syn_bkg_filelist = os.path.join(g_sun2012pascalformat_root_folder, 'filelist.txt')
g_syn_bkg_folder = os.path.join(g_sun2012pascalformat_root_folder, 'JPEGImages')
g_syn_cluttered_bkg_ratio = 0.8
g_blank_blend_file_path = os.path.join(g_render4cnn_root_folder, 'render_pipeline/blank.blend')
g_syn_images_num_per_category = 200000
g_syn_rendering_thread_num = 20
# Rendering is computational demanding. you may want to consider using multiple servers.
#g_hostname_synset_idx_map = {'': [0,1],
# '': [2,3,4],
# '': [5,6,7],
# '':[8,9],
# '':[10,11]}
g_hostname_synset_idx_map = {socket.gethostname(): range(12)}
# Crop and overlay is IO-heavy, running on local FS is much faster
g_crop_hostname_synset_idx_map = {socket.gethostname(): range(12)}
g_overlay_hostname_synset_idx_map = {socket.gethostname(): range(12)}
# view and truncation distribution estimation
g_matlab_kde_folder = os.path.join(g_render4cnn_root_folder, 'render_pipeline/kde/matlab_kde_package')
g_view_statistics_folder = os.path.join(g_data_folder, 'view_statistics')
g_view_distribution_folder = os.path.join(g_data_folder, 'view_distribution')
g_view_distribution_files = dict(zip(g_shape_synsets, [os.path.join(g_view_distribution_folder, name+'.txt') for name in g_shape_names]))
g_truncation_statistics_folder = os.path.join(g_data_folder, 'truncation_statistics')
g_truncation_distribution_folder = os.path.join(g_data_folder, 'truncation_distribution')
g_truncation_distribution_files = dict(zip(g_shape_synsets, [os.path.join(g_truncation_distribution_folder, name+'.txt') for name in g_shape_names]))
# render_model_views
g_syn_light_num_lowbound = 0
g_syn_light_num_highbound = 6
g_syn_light_dist_lowbound = 8
g_syn_light_dist_highbound = 20
g_syn_light_azimuth_degree_lowbound = 0
g_syn_light_azimuth_degree_highbound = 360
g_syn_light_elevation_degree_lowbound = -90
g_syn_light_elevation_degree_highbound = 90
g_syn_light_energy_mean = 2
g_syn_light_energy_std = 2
g_syn_light_environment_energy_lowbound = 0
g_syn_light_environment_energy_highbound = 1
# ------------------------------------------------------------
# VIEW_ESTIMATION
# ------------------------------------------------------------
g_syn_images_lmdb_folder = os.path.join(g_data_folder, 'syn_lmdbs')
g_syn_images_lmdb_pathname_prefix = '/ShapeNetDL/projects/render4cnn/syn_lmdb' #os.path.join(g_syn_images_lmdb_folder, 'syn_lmdb')
g_syn_images_resize_dim = 227
g_images_resize_dim = 227
g_real_images_folder = os.path.join(g_data_folder, 'real_images')
g_real_images_voc12val_det_bbox_folder = os.path.join(g_real_images_folder, 'voc12val_det_bbox')
g_real_images_voc12val_easy_gt_bbox_folder = os.path.join(g_real_images_folder, 'voc12val_easy_gt_bbox')
g_real_images_voc12train_all_gt_bbox_folder = os.path.join(g_real_images_folder, 'voc12train_all_gt_bbox')
g_real_images_voc12train_flip = 1
g_real_images_voc12train_aug_n = 1
g_real_images_voc12train_jitter_IoU = 1
g_real_images_lmdb_folder = os.path.join(g_data_folder, 'real_lmdbs')
g_real_images_voc12train_all_gt_bbox_lmdb_prefix = os.path.join(g_real_images_lmdb_folder, 'voc12train_all_gt_bbox_lmdb')
g_detection_results_folder = os.path.join(g_data_folder, 'detection_results')
g_rcnn_detection_bbox_mat_filelist = os.path.join(g_detection_results_folder, 'bbox_mat_filelist.txt')
# testing
g_caffe_param_file = os.path.join(g_render4cnn_root_folder,'caffe_models', 'render4cnn_3dview.caffemodel')
g_caffe_deploy_file = os.path.join(g_render4cnn_root_folder, 'caffe_models', 'deploy.prototxt')
g_image_mean_file = os.path.join(g_render4cnn_root_folder, 'caffe_models', 'imagenet_mean.npy')
g_caffe_prob_keys = ['fc-azimuth','fc-elevation','fc-tilt']
g_test_batch_size = 64
================================================
FILE: render_pipeline/README.md
================================================
Render for CNN: the rendering pipeline
Three stages:
- Render synthetic images of objects through overfit-resistant rendering, see `render_model_views.py`
- Crop images according to statistics learnt from KDE on real images, see `crop_gray.m`
- Overlay background to the cropped images, see `overlay_background.m`
kde/: use kernel density estimation to get statistics of viewpoint and truncation patterns
see `../demo_render` for a small scale demo of the render4cnn pipeline
================================================
FILE: render_pipeline/crop_gray.m
================================================
% crop according to truncationParam
function [I, top, bottom, left, right] = crop_gray(I, bgColor, truncationParam)
% get boundaries of object
[nr, nc] = size(I);
colsum = sum(I == bgColor, 1) ~= nr;
rowsum = sum(I == bgColor, 2) ~= nc;
left = find(colsum, 1, 'first');
if left == 0
left = 1;
end
right = find(colsum, 1, 'last');
if right == 0
right = length(colsum);
end
top = find(rowsum, 1, 'first');
if top == 0
top = 1;
end
bottom = find(rowsum, 1, 'last');
if bottom == 0
bottom = length(rowsum);
end
width = right - left + 1;
height = bottom - top + 1;
% strecth
dx1 = width * truncationParam(1); % left
dx2 = width * truncationParam(2); % right
dy1 = height * truncationParam(3); % top
dy2 = height * truncationParam(4); % bottom
leftnew = max([1, left + dx1]);
leftnew = min([leftnew, nc]);
rightnew = max([1, right + dx2]);
rightnew = min([rightnew, nc]);
if leftnew > rightnew
leftnew = left;
rightnew = right;
end
topnew = max([1, top + dy1]);
topnew = min([topnew, nr]);
bottomnew = max([1, bottom + dy2]);
bottomnew = min([bottomnew, nr]);
if topnew > bottomnew
topnew = top;
bottomnew = bottom;
end
left = round(leftnew); right = round(rightnew);
top = round(topnew); bottom = round(bottomnew);
I = I(top:bottom, left:right, :);
================================================
FILE: render_pipeline/crop_images.m
================================================
function crop_images(src_folder, dst_folder, truncation_distr_file, single_thread)
if nargin < 4
single_thread = 0;
end
if single_thread
num_workers = 0;
else
num_workers = 24;
end
image_files = rdir(fullfile(src_folder,'*/*.png'));
image_num = length(image_files);
fprintf('%d images in total.\n', image_num);
if image_num == 0
return;
end
rng('shuffle');
truncationParameters = importdata(truncation_distr_file);
truncationParametersSub = truncationParameters(randi([1,length(truncationParameters)],1,image_num),:);
fprintf('Start croping at time %s...it takes for a while!!\n', datestr(now, 'HH:MM:SS'));
report_num = 80;
fprintf([repmat('.',1,report_num) '\n\n']);
report_step = floor((image_num+report_num-1)/report_num);
t_begin = clock;
%for i = 1:image_num
parfor(i = 1:image_num, num_workers)
src_image_file = image_files(i).name;
try
[I, ~, alpha] = imread(src_image_file);
catch
fprintf('Failed to read %s\n', src_image_file);
end
[alpha, top, bottom, left, right] = crop_gray(alpha, 0, truncationParametersSub(i,:));
I = I(top:bottom, left:right, :);
if numel(I) == 0
fprintf('Failed to crop %s (empty image after crop)\n', src_image_file);
else
dst_image_file = strrep(src_image_file, src_folder, dst_folder);
[dst_image_file_folder, ~, ~] = fileparts(dst_image_file);
if ~exist(dst_image_file_folder, 'dir')
mkdir(dst_image_file_folder);
end
imwrite(I, dst_image_file, 'png', 'Alpha', alpha);
end
if mod(i, report_step) == 0
fprintf('\b|\n');
end
end
t_end = clock;
fprintf('%f seconds spent on cropping!\n', etime(t_end, t_begin));
end
================================================
FILE: render_pipeline/kde/get_voc12train_truncation_stats.m
================================================
function get_voc12train_truncation_stats(cls, visualize, debug)
if nargin < 2
visualize = 0;
debug = 0;
end
if nargin < 3
debug = 0;
end
setup_path;
% LOAD CAD MODELS
CADPathName = fullfile(PASCAL3D_DIR, 'CAD', [cls '.mat']);
cad = load(CADPathName);
cad = cad.(cls);
%image_dir = '/orions3-zfs/projects/rqi/Dataset/VOC12/VOCdevkit/VOC2012/JPEGImages/';
image_dir = fullfile(PASCAL3D_DIR, 'Images', [cls '_pascal']);
ids = textread(sprintf(VOCopts.imgsetpath, 'train'), '%s');
% LOGGINGS
azimuths = [];
elevations = [];
thetas = [];
distances = [];
gt_bboxes = [];
cad_bboxes = [];
gt_bboxes_draw = [];
cad_bboxes_draw = [];
area_ratios = []; % gt bbox / cad bbox
for i = 1:numel(ids)
if mod(i,100) == 0
fprintf('%s: %d/%d\n', cls, i, numel(ids));
end
% Load annotation for the i'th image
filename = fullfile(PASCAL3D_DIR, 'Annotations', sprintf('%s_pascal/%s.mat', cls, ids{i}));
if ~exist(filename,'file')
continue;
end
anno = load(filename);
objects = anno.record.objects;
for k = 1:length(objects)
obj = objects(k);
% Proceed only when the object is of cls
if strcmp(obj.class,cls)
bbox = obj.bbox;
bbox_draw = [bbox(1) bbox(2) bbox(3)-bbox(1) bbox(4)-bbox(2)];
im = imread(fullfile(image_dir, [ids{i} '.jpg']));
% Show original image
if debug
imshow(im);
hold on;
rectangle('Position', bbox_draw, 'EdgeColor', 'g');
end
% Show annotated anchor points
if debug && isfield(obj, 'anchors') == 1 && isempty(obj.anchors) == 0
names = fieldnames(obj.anchors);
for j = 1:numel(names)
if obj.anchors.(names{j}).status == 1
if isempty(obj.anchors.(names{j}).location) == 0
x = obj.anchors.(names{j}).location(1);
y = obj.anchors.(names{j}).location(2);
plot(x, y, 'ro');
else
fprintf('anchor point %s is missing!\n', names{j});
end
end
end
end
% show overlay of the CAD model
if isfield(obj, 'cad_index') == 1 && isempty(obj.cad_index) == 0 && ...
isfield(obj, 'viewpoint') == 1 && isfield(obj.viewpoint, 'azimuth') == 1
vertices = cad(obj.cad_index).vertices;
faces = cad(obj.cad_index).faces;
x2d = project_3d(vertices, obj);
if isempty(x2d) == 0
if debug
patch('vertices', x2d ,'faces', faces, ...
'FaceColor', 'blue', 'FaceAlpha', 0.2, 'EdgeColor', 'none');
end
% Find bbox for the CAD model
bbox_cad = [min(x2d(:,1)),min(x2d(:,2)),max(x2d(:,1)),max(x2d(:,2))];
bbox_cad_draw = [bbox_cad(1), bbox_cad(2), bbox_cad(3)-bbox_cad(1), bbox_cad(4)-bbox_cad(2)];
area_ratio = bbox_draw(3)*bbox_draw(4)/(bbox_cad_draw(3)*bbox_cad_draw(4));
if debug
rectangle('Position', bbox_cad_draw, 'EdgeColor','r');
fprintf('Approx. visible ratio: %f\n', area_ratio);
hold off;
end
azimuths = [azimuths obj.viewpoint.azimuth];
area_ratios = [area_ratios area_ratio];
gt_bboxes = [gt_bboxes; bbox];
cad_bboxes = [cad_bboxes; bbox_cad];
gt_bboxes_draw = [gt_bboxes_draw; bbox_draw];
cad_bboxes_draw = [cad_bboxes_draw; bbox_cad_draw];
end
end
if debug
fprintf('press button to continue...\n');
pause();
close all;
end
end
end
end
widths = cad_bboxes(:,3) - cad_bboxes(:,1);
heights = cad_bboxes(:,4) - cad_bboxes(:,2);
r = zeros(length(azimuths), 4);
gt_cad_bboxes_diff = gt_bboxes - cad_bboxes;
r(:,1) = gt_cad_bboxes_diff(:,1) ./ widths;
r(:,3) = gt_cad_bboxes_diff(:,3) ./ widths;
r(:,2) = gt_cad_bboxes_diff(:,2) ./ heights;
r(:,4) = gt_cad_bboxes_diff(:,4) ./ heights;
left = r(:,1); top = r(:,2);
right = r(:,3); bottom = r(:,4);
mkdir(g_truncation_statistics_folder);
save(fullfile(g_truncation_statistics_folder, [cls '_truncation_stats']), 'left', 'top', 'right', 'bottom');
if visualize
% Show relation between azimuth and area_ratios
vnum = 8;
azimuth_interval = [0 (360/(vnum*2)):(360/vnum):360-(360/(vnum*2))];
ratios_by_view = zeros(vnum,1);
for i = 1:length(azimuths)
azimuths(i) = find_interval(azimuths(i), azimuth_interval);
end
for v = 1:vnum
[tmp, index] = find(azimuths == v);
ratios_by_view(v) = median(area_ratios(index));
end
figure, subplot(1,2,1), bar(ratios_by_view);
subplot(1,2,2), scatter(azimuths, area_ratios);
% Show hist of ratios of gt_cad_bboxes_diff/[width,height]
figure, subplot(2,2,1), hist(left), title('left');
subplot(2,2,2), hist(top), title('right');
subplot(2,2,3), hist(right), title('top');
subplot(2,2,4), hist(bottom), title('bottom');
end
function ind = find_interval(azimuth, a)
for i = 1:numel(a)
if azimuth < a(i)
break;
end
end
ind = i;
if azimuth > a(end)
ind = 1;
end
================================================
FILE: render_pipeline/kde/get_voc12train_view_stats.m
================================================
function [azimuths, elevations, distances] = get_voc12train_view_stats(cls, visualize)
if nargin < 2
visualize = 0;
end
setup_path;
ids = textread(sprintf(VOCopts.imgsetpath, 'train'), '%s');
M = numel(ids);
azimuths = [];
elevations = [];
distances = [];
tilts = [];
for i = 1:M
if mod(i,100) == 0
fprintf('%s: %d/%d\n',cls,i,M);
end
filename = fullfile(PASCAL3D_DIR, 'Annotations', sprintf('%s_pascal/%s.mat', cls, ids{i}));
if ~exist(filename,'file')
continue;
end
anno = load(filename);
objects = anno.record.objects;
for k = 1:length(objects)
obj = objects(k);
if ~isempty(obj.viewpoint) && strcmp(obj.class,cls)
try
azimuths = [azimuths obj.viewpoint.azimuth];
elevations = [elevations obj.viewpoint.elevation];
tilts = [tilts obj.viewpoint.theta];
distances = [distances obj.viewpoint.distance];
catch
end
end
% if obj.truncated==0 && obj.occluded==0 && obj.difficult==0 && strcmp(obj.class,cls)
% azimuths = [azimuths obj.viewpoint.azimuth];
% elevations = [elevations obj.viewpoint.elevation];
% distances = [distances obj.viewpoint.distance];
% %easy_chairs{cnt} = struct('idx',i,'img',ids{i},'object',objects(k));
% cnt = cnt + 1;
% end
end
end
mkdir(g_view_statistics_folder);
save(fullfile(g_view_statistics_folder, [cls,'_viewpoint_stats']), 'azimuths', 'elevations', 'tilts', 'distances');
if visualize
figure,
subplot(2,2,1), hist(azimuths), title([cls ' azimuth']);
subplot(2,2,2), hist(elevations), title([cls ' elevation']);
subplot(2,2,3), hist(tilts), title([cls ' tilt']);
subplot(2,2,4), hist(distances), title([cls ' distance']);
end
================================================
FILE: render_pipeline/kde/matlab_kde_package/Contents.m
================================================
% ==============================================================================
% KDE Matlab class definition
% ==============================================================================
%
% The following is a simple list of all accessible functions for the KDE class.
% Before using, recompile all MEX functions using "mexall" in @kde/mex/
%
% Constructors:
% =====================================================
% kde( ) : empty kde
% kde( kde ) : re-construct kde from points, weights, bw; or from struct
% kde( points, bw, weights,type): Construct specified KDE;
% Defaults: type='Gaussian', weights = ones(1,N)/N
%
% marginal( kde, dim) : marginalize to the given dimensions
%
% condition( kde, dim, A) : marginalize to ~dim and weight by K(x_i(dim),a(dim))
%
% resample( kde, [kstype] ) : draw N samples from kde & use to construct a new kde
%
% reduce( kde ) : construct a "reduced set" density estimate
%
% joinTrees( t1, t2, alpha ): make a new tree with t1 and t2 as the children of
% a new root node; t1 gets weight alpha
%
% Accessors:
% =====================================================
% getType(kde) : return the kernel type of the KDE ('Gaussian', etc)
%
% getBW(kde,index) : return the bandwidth assoc. with x_i (Ndim x length(index))
% adjustBW : set the bandwidth(s) of the KDE (by reference!)
%
% ksize : automatic bandwidth selection via a number of methods
% LCV : 1D search using max leave-one-out likelihood criterion
% HALL : Plug-in estimator with good asymptotics; MISE criterion
% ROT,MSP : Fast standard-deviaion based methods; AMISE criterion
% LOCAL : Like LCV, but makes BW propto k-th NN distance (k=sqrt(N))
%
% getPoints(kde) : Ndim x Npoints array of kernel locations
% adjustPoints(p,delta) : shift points of P by delta (by reference!)
%
% getWeights : [1 x Npts] array of kernel weights
% adjustWeights : set kernel weights (by reference!)
%
% rescale(kde,alpha): rescale a KDE by the (vector) alpha
%
% getDim : get the dimension of the data
% getNpts : get the # of kernel locations
% getNeff : "effective" # of kernels (accounts for non-uniform weights)
%
% sample(P,Np,KSType) : draw Np new samples from P and set BW according to KSType
%
%
% Display: (visualization / Description)
% =====================================================
% plot(kde...) : plot the specified dimensions of the KDE locations
% hist(kde...) : discretize the kde at uniform bin lengths
% display : text output describing the KDE
% double : boolean evaluation of the KDE (non-empty)
%
%
% Statistics:
% =====================================================
% covar : find the (weighted) covariance of the kernel centers
% mean : find the (weighted) mean of the kernel centers
% modes : (attempt to) find the modes of the distribution
%
% knn(kde, pts, k) : find the k nearest neighbors of each of pts in kde
%
% entropy : estimate the entropy of the KDE
% kld : estimate divergence between two KDEs
% ise : eval/estimate integrated squared difference between two KDEs
%
% evaluate(kde, x[,tol]): evaluate KDE at a set of points x
% evaluate(p, p2 [,tol]): "" "", x = p2.pts (if we've already built a tree)
%
% evalAvgLogL(kde, x) : compute Mean( log( evaluate(kde, x) ))
% evalAvgLogL(kde, kde2): "" "" but use the weights of kde2
% evalAvgLogL(kde) : self-eval; leave-one-out option
%
% llGrad(p,q) : find the gradient of log-likelihood for p
% evaluated at the points q
% llHess(p,q) : find the Hessian of log-likelihood for p at q
% entropyGrad(p) : estimate gradient of entropy (uses llGrad)
% miGrad(p,dim) : "" for mutual information between p(dim), p(~dim)
% klGrad(p1,p2) : estimate gradient direction of KL-divergence
%
%
%
% Mixture products: (NBP stuff; GAUSSIAN KERNELS ONLY)
% =====================================================
%
% productApprox : accessor for other product methods
% prodSampleExact : sample N points exactly (N^d computation)
% prodSampleEpsilon : kd-tree epsilon-exact sampler
% prodSampleGibbs1 : seq. index gibbs sampler
% prodSampleGibbs2 : product of experts gibbs sampler
% prodSampleGibbsMS1 : multiresolution version of GS1
% prodSampleGibbsMS2 : multiresolution version of GS2
% prodSampleImportance : importance sampling
% prodSampleImportGauss: gaussian importance sampling
%
% productExact : exact computation (N^d kernel centers)
%
% Usage Example:
% =====================================================
% p = ksize(kde( rand(2,1000), 1 ),'rot');
% plot(p, 'rx');
% See @kde/examples/demo_kde_#.m (#=1,2,3) for more examples.
%
% KDE class written by Alex Ihler and Michael Mandel
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
% Questions/Comments? Contact Alex Ihler (ihler@mit.edu)
%
================================================
FILE: render_pipeline/kde/matlab_kde_package/README.txt
================================================
==============================================================================
MATLAB KDE Class Description & Specification
==============================================================================
The KDE class is a general matlab class for k-dimensional kernel density
estimation. It is written in a mix of matlab ".m" files and MEX/C++ code.
Thus, to use it you will need to be able to compile C++ code for Matlab.
Note that the default compiler for Windows does *not* support C++, so you
will need GCC under Linux, or GCC or Visual C++ for Windows. Bloodshed
(http://www.bloodshed.net) supplies a nice development environment along
with the MinGW (http://www.mingw.org) compiler. See the page
http://gnumex.sourceforge.net/ for help setting up MEX with MinGW.
Kernels supported are: Gaussian, Epanetchnikov (truncated quadratic),
and Laplacian (Double exponential)
For multivariate density estimates, the code supports product kernels --
kernels which are products of the kernel function in each dimension.
For example, for Gaussian kernels this is equivalent to requiring a
diagonal covariance.
It can also support non-uniform kernel bandwidths -- i.e. bandwidths
which vary over kernel centers.
The implementation uses "kd-trees", a heirarchical representation for
point sets which caches sufficient statistics about point locations etc.
in order to achieve potential speedups in computation. For the Epanetchnikov
kernel this can translate into speedups with no loss of precision; but for
kernels with infinite support it provides an approximation tolerance level,
which allows tradeoffs between evaluation quality and computation speed.
In particular, we implement Alex Gray's "Dual Tree" evaluation algorithm;
see [Gray and Moore, "Very Fast Multivariate Kernel Density Estimation using
via Computational Geometry", in Proceedings, Joint Stat. Meeting 2003] for more
details. This gives a tolerance parameter which is a percent error (from the
exact, N^2 computation) on the value at any evaluated point. In general,
"tolerance" parameters in the matlab code / notes refers to this percent
tolerance. This percentage error translates to an absolute additive error on
the mean log-likelihood, for example.
An exception to this is the gradient calcuation functions, which calculate
using an absolute tolerance value. This is due to the difficulty of finding
a percentage bound when the function calculated is not strictly positive.
We have also recently implemented the so-called Improved Fast Gauss Transform,
described in [Yang, Duraiswami, and Gumerov, "Improved Fast Gauss Transform",
submitted to the Siam Journal of Scientific Computing]. This often performs
MUCH faster than the dual tree algorithm mentioned above, but the error bounds
which control the computation are often quite loose, and somewhat unwieldy
(for example, it is difficult to obtain the fractional error bounds provided &
used by the dual tree methods and other functions in the KDE toolbox). Thus
for the moment we have left the IFGT separate, with alternate controls for
computational complexity (see below, and the file "evalIFGT.m").
==============================================================================
Getting Started
==============================================================================
Unzip the KDE class to a directory called @kde.
Compile the MEX functions. This can be done by running "makemex" from
inside matlab, in the "@kde/mex" directory. If this fails, make sure that
MEX / C++ compilation works. The KDE toolbox is tested in Matlab R13, but
apparently has problems in R12; I'm planning to investigate this.
NOTE: MS Visual C++ has a bug in dealing with "static const" variables; I
think there is a patch available, or you can change these to #defines.
Operate from the class' parent directory, or add it to your MATLAB path
(e.g. if you unzip to "myhome/@kde", cd in matlab to the "myhome" dir,
or add it to the path.)
Objects of type KDE may be created by e.g.
p = kde( rand(2,1000), [.05;.03] ); % Gaussian kernel, 2D
% BW = .05 in dim 1, .03 in dim 2.
p = kde( rand(2,1000), .05, ones(1,1000) ) % Same as above, but uniform BW and
% specifying weights
p = kde( rand(2,1000), .05, ones(1,1000), 'Epanetchnikov') % Quadratic kernel
% Just 'E' or 'e' also works
p = kde( rand(2,1000), 'rot' ); % Gaussian kernel, 2D,
% BW chosen by "rule of thumb" (below)
To see the kernel shape types, you can use:
plot(-3:.01:3, evaluate(kde(0,1,1,T),-3:.01:3) ); % where T = 'G', 'E', or 'L'
Kernel sizes may be selected automatically using e.g.
p = ksize(p, 'lcv'); % 1D Likelihood-based search for BW
p = ksize(p, 'rot'); % "Rule of Thumb"; Silverman '86 / Scott '92
p = ksize(p, 'hall'); % Plug-in type estimator
Density estimates may be visualized using e.g.
plot(p);
or
mesh(hist(p));
See help kde/plot and help kde/hist for more information.
Also, the demonstration programs @kde/examples/demo_kde_#.m may be helpful.
==============================================================================
KDE Matlab class definition
==============================================================================
The following is a simple list of all accessible functions for the KDE class.
Constructors:
=====================================================
kde( ) : empty kde
kde( kde ) : re-construct kde from points, weights, bw, etc.
kde( points, bw ) : construct Gauss kde with weights 1/N
kde( points, bw, weights) : construct Gaussian kde
kde( points, bw, weights,type): potentially non-Gaussian
marginal( kde, dim) : marginalize to the given dimensions
condition( kde, dim, A) : marginalize to ~dim and weight by K(x_i(dim),a(dim))
resample( kde, [kstype] ) : draw N samples from kde & use to construct a new kde
reduce( kde, ...) : construct a "reduced" density estimate (fewer points)
joinTrees( t1, t2 ) : make a new tree with t1 and t2 as
the children of a new root node
Accessors: (data access, extremely limited or no processing req'd)
=====================================================
getType(kde) : return the kernel type of the KDE ('Gaussian', etc)
getBW(kde,index) : return the bandwidth assoc. with x_i (Ndim x length(index))
adjustBW : set the bandwidth(s) of the KDE (by reference!)
Note: cannot change from a uniform -> non-uniform bandwidth
ksize : automatic bandwidth selection via a number of methods
LCV : 1D search using max leave-one-out likelihood criterion
HALL : Plug-in estimator with good asymptotics; MISE criterion
ROT,MSP : Fast standard-deviaion based methods; AMISE criterion
LOCAL : Like LCV, but makes BW propto k-th NN distance (k=sqrt(N))
getPoints(kde) : Ndim x Npoints array of kernel locations
adjustPoints(p,delta) : shift points of P by delta (by reference!)
getWeights : [1 x Npts] array of kernel weights
adjustWeights : set kernel weights (by reference!)
rescale(kde,alpha) : rescale a KDE by the (vector) alpha
getDim : get the dimension of the data
getNpts : get the # of kernel locations
getNeff : "effective" # of kernels (accounts for non-uniform weights)
sample(P,Np,KSType) : draw Np new samples from P and set BW according to KSType
Display: (visualization / Description)
=====================================================
plot(kde...) : plot the specified dimensions of the KDE locations
hist(kde...) : discretize the kde at uniform bin lengths
display : text output describing the KDE
double : boolean evaluation of the KDE (non-empty)
Statistics: (useful stats & operations on a kde)
=====================================================
covar : find the (weighted) covariance of the kernel centers
mean : find the (weighted) mean of the kernel centers
modes : (attempt to) find the modes of the distribution
knn(kde, points, k) : find the k nearest neighbors of each of
points in kde
entropy : estimate the entropy of the KDE
??? Maybe be able to specify alternate entropy estimates? Distance, etc?
kld : estimate divergence between two KDEs
ise : eval/estimate integrated square difference between two KDEs
evaluate(kde, x[,tol]): evaluate KDE at a set of points x
evaluate(p, p2 [,tol]): "" "", x = p2.pts (if we've already built a tree)
evalIFGT(kde, x, N) : same as above, but use the (very fast) Nth order improved
evalIFGT(p, p2, N) : Fast Gauss transform. Req's uniform-BW Gaussian kernels.
evalAvgLogL(kde, x) : compute Mean( log( evaluate(kde, x) ))
evalAvgLogL(kde, kde2): "" "" but use the weights of kde2
evalAvgLogL(kde) : self-eval; leave-one-out option
llGrad(p,q) : find the gradient of log-likelihood for p
evaluated at the points of q
llHess(p,q) : find the Hessian of log-likelihood of p at q
entropyGrad(p) : estimate gradient of entropy (uses llGrad)
miGrad(p,dim) : "" for mutual information between p(dim), p(~dim)
klGrad(p1,p2) : estimate gradient direction of KL-divergence
Mixture products: (NBP stuff)
=====================================================
GAUSSIAN KERNELS ONLY
productApprox : accessor for other product methods
prodSampleExact : sample N points exactly (N^d computation)
prodSampleEpsilon : kd-tree epsilon-exact sampler
prodSampleGibbs1 : seq. index gibbs sampler
prodSampleGibbs2 : product of experts gibbs sampler
prodSampleGibbsMS1 : multiresolution version of GS1
prodSampleGibbsMS2 : multiresolution version of GS2
prodSampleImportance : importance sampling
prodSampleImportGauss : gaussian importance sampling
productExact : exact computation (N^d kernel centers)
=====================================================
USAGE EXAMPLES
=====================================================
The demonstration programs @kde/examples/demo_kde_#.m may be helpful.
=====================================================
COPYRIGHT / LICENSE
=====================================================
The kde package and all code were written by Alex Ihler and Mike Mandel,
and are copyrighted under the (lesser) GPL:
Copyright (C) 2003 Alexander Ihler
This program is free software; you can redistribute it and/or
modify it under the terms of the GNU Lesser General Public License
as published by the Free Software Foundation; version 2.1 or later.
This program is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU Lesser General Public License for more details.
You should have received a copy of the GNU Lesser General Public License
along with this program; if not, write to the Free Software
Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.
The authors may be contacted via email at: ihler@mit.edu
================================================
FILE: render_pipeline/kde/matlab_kde_package/adjustBW.m
================================================
function adjustBWs(npd,s)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% adjustBWs(Pold,BW) -- change the bandwidths in NPD to S, which is
% either an (Ndims x 1) vector or an (Ndims x Npts) matrix. You
% cannot change a kde with uniform bandwidths to one with variable
% bandwidths or vice versa.
%
% see also: kde, getBW, getPoints, adjustPoints, getWeights, adjustWeights
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
%#mex
error(['MEX-file kde/adjustBWs not found -- please recompile if ' ...
'necessary']);
%function p = adjustBW(npd,s)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Pnew = adjustBW(Pold,BW) -- make a new KDE from Pold with bandwidth BW
%
% see also: kde, getBW, getPoints, adjustPoints, getWeights, adjustWeights
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% p = kde(getPoints(npd),s,getWeights(npd),getType(npd));
================================================
FILE: render_pipeline/kde/matlab_kde_package/adjustPoints.m
================================================
function adjustPoints(kde, delta)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% adjustPoints(kde, delta) -- shift the points of kde by 'delta'
% delta should be [Ndim x Npts]
%
% -- note: kde is altered by reference through mex.
%
% see also: kde, getPoints, getBW, adjustBW, getWeights, adjustWeights
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
%#mex
================================================
FILE: render_pipeline/kde/matlab_kde_package/adjustWeights.m
================================================
function adjustWeights(npd,w)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% adjustWeights(Pold,W) -- Change the weights of NPD to W, a (1 x
% Npts) vector.
%
% see also: getWeights, getPoints, adjustPoints, getBW, adjustBW, kde
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
%#mex
error(['MEX-file kde/adjustWeights not found -- please recompile if ' ...
'necessary']);
%function p = adjustWeights(npd,w)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Pnew = adjustWeights(Pold,W) -- create a new density from Pold with weights W
%
% see also: getWeights, getPoints, adjustPoints, getBW, adjustBW, kde
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% bw = .1;
% if (size(kde.bandwidth,2)>2*kde.N), bw = getBW(npd,1:getNpts(npd));
% else bw = getBW(npd,1); end;
% p = kde(getPoints(npd),bw,w,getType(npd));
================================================
FILE: render_pipeline/kde/matlab_kde_package/condition.m
================================================
function p = condition(dens,ind,A)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% condition(P,i,A) -- find the conditional distr. P( x(~i) | x(i) = A(i))
% P is a KDE, i is a dimension index (e.g. [2,3]) and A
% is an [Ndim x 1] double
%
% see also: kde
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if (size(dens.bandwidth,2)>2*dens.N), % variable BW case is complicated:
wNew = zeros(1,getNpts(dens));
for i=1:getNpts(dens),
ktmp = kde(getPoints(dens,i),getBW(dens,i),1,getType(dens));
wNew(i) = evaluate(marginal(ktmp,ind),A(ind),0);
end;
else
bw = getBW(dens,1);
wNew = evaluate( kde(A(ind),bw(ind),1,getType(dens)) , marginal(dens,ind) , 0);
end;
% wNew = wNew ./ sum(wNew);
wNew = wNew .* getWeights(dens);
pts = getPoints(dens);
if (size(dens.bandwidth,2)>2*dens.N), bw = getBW(dens,1:getNpts(dens));
else bw = getBW(dens,1); end;
newInd = setdiff([1:getDim(dens)],ind);
p = kde(pts(newInd,:),bw(newInd,:),wNew,getType(dens));
================================================
FILE: render_pipeline/kde/matlab_kde_package/covar.m
================================================
function cov = covar(dens,noBiasFlag)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% covar(dens [,noBiasFlag]) -- returns the variance of a given KDE
%
% if noBiasFlag = 1, this is the variance of the kernel locations themselves
% Otherwise, it is the covariance of the density estimate (ie smoothed by the BW).
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if (nargin < 2) noBiasFlag = 0; end;
if (noBiasFlag)
cov = var(getPoints(dens)',getWeights(dens)')';
else
switch(dens.type),
case 0, cov = dens.bandwidth(:,1); % Gaussian: store variances.
case 1, cov = .2 * dens.bandwidth(:,1).^2; % Epanetch BW -> variance
case 2, cov = 2 * dens.bandwidth(:,1).^2; % Laplacian BW -> variance
end;
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/display.m
================================================
function display(kde)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% display(kde) -- print out whatever stuff is useful about a kernel density
% estimate.
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if(numel(kde) > 1)
[r c] = size(kde);
disp(['kde array: ' num2str(r) '-by-' num2str(c)]);
return
end
typeStr = 'Unknown';
if (kde.type == 0) typeStr = 'Gaussian'; end;
if (kde.type == 1) typeStr = 'Epanetchnikov'; end;
if (kde.type == 2) typeStr = 'Laplacian'; end;
if (size(kde.bandwidth,2)>2*kde.N), bwType = 'variable';
else bwType = 'uniform'; end;
disp(['Kernel Density Estimate (tree based): ']);
disp([' ',num2str(kde.D),' dimensional; ',num2str(kde.N),' points in density']);
disp([' made of ',typeStr,' kernels with ',bwType,' size.']);
================================================
FILE: render_pipeline/kde/matlab_kde_package/double_kde.m
================================================
function d = double(npd)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% double(kde) -- evaluates true (1) if the kde is non-empty
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if (npd.N > 0) d = 1; % return 1 if the density exists
else d = 0; end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/encode.m
================================================
function C = encode(p,R)
%
% Compute vector of transmit costs for each stage of the KD-tree
%
N = getNpts(p); bw = getBW(p,1);
if (size(p.bandwidth,2) > 2*N)
error('Encoding of variable bandwidths not yet supported...');
end;
if (any( abs(getWeights(p) - 1/N) > 2*eps ))
error('Encoding of variable weights not yet supported...');
end;
C = zeros(1,2*N); C(1) = 2*getDim(p)*R; % Root node...
for i=1:N-1, % calc costs of splitting each node; 1/2 cost to each side
if (~isLeaf(i,N))
mu0 = p.means(:,i); % get means of parent, children
mu1 = p.means(:, double(p.leftch(i))+1);
mu2 = p.means(:, double(p.rightch(i))+1);
sig0= sqrt( p.bandwidth(:,i) ); % and bw's of parent, children
sig1= sqrt( p.bandwidth(:,double(p.leftch(i))+1) );
sig2= sqrt( p.bandwidth(:,double(p.rightch(i))+1) );
sig0UB = sqrt(max( sig0.^2 - bw.^2, 2^-R)); % don't round down too far...
[tmp,splitDim] = max( sig0UB ); % which dimension are we splitting on...
%[tmp,splitDim2] = max( abs(mu0-mu1) + abs(mu0-mu2) );
%if (splitDim ~= splitDim2) warning('Disagreement?'); end;
% COMPUTE COST OF SENDING MEANS
muMax = max(mu1,mu2); sigDiff = sig0.^2 - (mu1.^2 + mu2.^2 - mu0.^2);
for j=splitDim,
costMu = gauss( muMax(j), mu0(j), sig0UB(j).^2 ,1,R );
end;
for j = [1:splitDim-1,splitDim+1:getDim(p)];
costMu = costMu + gauss2( mu1(j), mu0(j), 1*sig0UB(j).^2 ,1,R );
end;
% COMPUTE COST OF SENDING VARIANCES
if (isLeaf(p.leftch(i),N) && isLeaf(p.rightch(i),N)), costSig = 0; costMu = 0;
elseif (isLeaf(p.leftch(i),N) || isLeaf(p.rightch(i),N)), costSig = 0;
else
for j=splitDim,
costSig = gauss2( sig1(j).^2 , sig0(j).^2/2, sig0(j).^2/4, 1, R);
end;
for j = [1:splitDim-1,splitDim+1:getDim(p)]
costSig = costSig + gauss2( sig1(j).^2 , sig0(j).^2, sig0(j).^2/2, 1, R);
end;
end;
%[costMu,costSig]
C(double(p.leftch(i))+1) = .5 * (C(i) + costMu + costSig);
C(double(p.rightch(i))+1) = .5 * (C(i) + costMu + costSig);
end;
end;
function v = gauss(x,mu,sig2,sigOut2,R) % SIMPLE 1-SIDED GAUSSIAN
v = R-log2( 2*1/sqrt(2*pi*sig2) .* exp(-(x-mu).^2 ./(2*sig2)) );
%function v = gauss(x,mu,sig2,sigOut2,R) % 1-SIDED W/ OUTLIER PROCESS
% v = R-log2( 2*1/sqrt(2*pi*sig2) .* exp(-(x-mu).^2 ./(2*sig2)) ); + ...
% 1/sqrt(2*pi*sig2) .* exp(-(x-mu).^2 ./(2*sigOut2)) );
function v = gauss2(x,mu,sig2,sigOut2,R) % SIMPLE 2-SIDED GAUSSIAN
v = R-log2( 1/sqrt(2*pi*sig2) .* exp(-(x-mu).^2 ./(2*sig2)) );
%function v = gauss2(x,mu,sig2,sigOut2,R) % 2-SIDED W/ OUTLIER PROCESS
% v = R-log2( 1/sqrt(2*pi*sig2) .* exp(-(x-mu).^2 ./(2*sig2)) + ...
% 1/sqrt(2*pi*sig2) .* exp(-(x-mu).^2 ./(2*sigOut2)) );
function b = isLeaf(ind,N)
ind = double(ind);
if (ind <= 0 || ind > 2*N) b = 0;
elseif (ind <= N-1) b = 0;
else b = 1;
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/entropy.m
================================================
function H = entropy(x,type,varargin)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% Entropy(x,'lvout') -- Calculate a resubstitution entropy estimate for a KDE
% 'lvout' uses a leave-one-out density estimate
% An error tolerance may be specified by Tol (see evalAvgLogL)
%
% see also: evalAvgLogL, evaluate
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
% H = -evalAvgLogL(x,x,varargin{:});
if (nargin < 2) type = 'rs'; end;
if (strcmp(type,'lvout')), type='rs'; varargin={'lvout',varargin{:}}; end;
switch (type),
case {'rs','lln'}, H = -evalAvgLogL(x,x,varargin{:});
case 'rand', N = varargin{1};
ptsE = sample(p1,N); pE = kde(ptsE,1);
KLD = evalAvgLogL(p1,pE) - evalAvgLogL(p2,pE);
case 'unscent',
D = getDim(x); N = getNpts(x);
ptsE = getPoints(x); wts = getWeights(x);
ptsE = repmat(ptsE,[1,2*D+1]); % make 2*dim copies of each point
wts = repmat(wts,[1,2*D+1]); % (and its weight)
bw = getBW(x,1:N);
for i=1:D
ptsE(i,(i-1)*N+(1:N)) = ptsE(i,(i-1)*N+(1:N)) + bw(i,:);
ptsE(i,(2*i-1)*N+(1:N)) = ptsE(i,(2*i-1)*N+(1:N)) - bw(i,:);
end;
pE = kde(ptsE,1,wts);
H = -evalAvgLogL(x,pE);
case 'dist', H=entropyDist(x);
otherwise, error('Unknown entropy estimate method ''type''');
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/entropyGrad.m
================================================
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% err = entropyGrad(npd,estType)
% Compute gradient of an entropy estimate for the npde
%
% entType is one of:
% ISE : integrated squared error from uniform estimate
% RS,LLN : law of large numbers resubstitution estimate
% KL,dist : nearest-neighbor distance based estimate
%
% see also: kde, miGrad, klGrad, adjustPoints
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
function err=entropyGrad(npd,entType)
if (nargin < 2), entType = 'ISE'; end;
switch (upper(entType))
case 'ISE', err = entropyGradISE(npd);
case {'RS','LLN'}, [err1,err2]=llGrad(npd,npd,0,1e-3,1e-2);
err = -(err1+err2);
% err = entropyGradRS(npd);
case {'KL','DIST'}, err = entropyGradDist(npd);
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/evalAvgLogL.m
================================================
function ll = evalAvgLogL(dens,at,varargin)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% evalAvgLogL(P,Q [,...]) -- evaluate the mean log-likelihood of the KDE P
% at points Q ([Ndim x Npts] double or KDE)
% Optional flags are the same as evaluate
% See also: evaluate
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if (isa(at,'kde'))
L = evaluate(dens,at,varargin{:});
W = getWeights(at);
ind = find(L==0);
if (any(W(ind))) ll=-inf;
else
L(ind) = 1;
ll = (log(L)*W');
end;
else
L = evaluate(dens,at,varargin{:});
if (length(find(L==0)))
ll = inf;
else
ll = mean(log(L));
end;
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/evalFGT.m
================================================
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% evalIFGT Evaluate the density estimate using the (original) Fast Gauss Transform
%
% [e,b] = evalFGT(X,Y,N [,Nc,rC]) -- eval likelihood ("e") of the points Y under
% the density estimate X using N coefficients of the
% Fast Gauss Transform (Hermite polynomial expansion);
% "b" is an upper bound on the (absolute) error.
%
% Optional arguments:
% Nc -- # of clusters to use for "X", default is sqrt(Npoints)
% rC -- Cutoff radius (in std deviations) to exclude contributions, default 3
%
% CITATION: Greengard & Strain, 1991, SIAM J. Sci. Stat. Comput. 12
% NOTE: The error bound of G&S'91 is incorrect; we use that of Baxter & Roussos 2002
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [estimate,errbound] = evalFGT(pt,q,Ncoeff,Nclusters,rCutoff)
p = kde(pt);
if (p.type ~= 0)
error('Sorry -- FGT = fast Gauss transform; it needs Gaussian kernels');
end;
if (size(p.bandwidth,2)>2*p.N)
error('Sorry -- FGT currently supports only uniform bandwidths');
end;
if (nargin<4) Nclusters = round(sqrt(getNpts(p))); end;
if (nargin<5) rCutoff = 3; end;
if (isa(q,'kde')) qpts = getPoints(q); else qpts = q; end;
BW = getBW(p,1); BWorig = BW;
if (any( BW - BW(1) )) % CONVERT TO SINGLE, SCALAR BW:
p = rescale(p, 1./BW); % if differ in dimensions, need to rescale
qpts = qpts .* repmat(1./BW,[1,size(qpts,2)]);
BW = 1;
else BW = BW(1); % already scalar; can just drop other dim's
end;
[c,cPts,cWts,cWt,cRad] = fpCluster(p,sqrt(2)*BW);
coeff = findCoeff(c,cPts,cWts,cRad,BW,Ncoeff);
[estimate,errbound] = evalCoeff( qpts, c,coeff,Ncoeff,cWt,BW,cRad,rCutoff);
% Change norm. constant (due to rescaling operation)
scale = p.D*log(BW) - sum(log(BWorig));
estimate = estimate * exp(scale); errbound = errbound * exp(scale);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% fpCluster -- fast, "farthest point" clustering method
% cluster points of "p" into K clusters, described by "centers",
% "clusters" (cell array of pts to each cluster),
% cWeight (weight per cluster), and maximum radius of any cluster.
%
function [centers, clusters, weights, cWeight, radius] = fpCluster(p, rMax)
points = getPoints(p); wts = getWeights(p);
[D,N] = size(points);
K = N;
centers = zeros(D,K);
assign = ones(1,N); dmin = zeros(1,N)+inf;
next = fix(rand(1)*N)+1; % choose 1st center at random
i=0; radius = inf;
while (radius > rMax),
i=i+1; centers(:,i) = points(:, next);
d = points - repmat(centers(:,i),[1,N]);
d = sqrt(sum(d.^2,1));
F=find(dNterms), indA(j)=1; indA(j+1)=indA(j+1)+1; end; end;
end;
coeffI = weights{i}*coeffI;
coeff{i} = coeffI;
end;
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% evalCoeff -- evaluate the Taylor series at a number of new locations
% also returns an upper bound on the incurred error
%
function [est, err] = evalCoeff(locations,centers,coeff,Nterms,cWt,h,cRad,rCutoff)
h = sqrt(2)*h; % stupid transformation
rCutoff = sqrt(2)*rCutoff;
Npts = size(locations,2); Npart = size(centers,2); D = size(locations,1);
est = zeros(1,Npts); err = zeros(1,Npts);
% OLD ERROR BOUND OF GREENGARD & STRAIN
%errBound = (2.75)^D*(1/factorial(Nterms))^(D/2)*(1/2)^((Nterms+1)*D/2);
% NEW ERROR BOUND OF BAXTER & ROUSSOS
errBound = 0;
for k=0:D-1,
errBound = errBound + nchoosek(D,k)*(1-.5^(Nterms/2))^k * (.5^Nterms/factorial(Nterms))^((D-k)/2);
end;
errBound = errBound/(1 - sqrt(.5)^D);
for i=1:Npart
coeffI = coeff{i}; Ncoeff = size(coeff{i},2);
vals = ( locations - repmat(centers(:,i),[1,Npts]) )' / h;
distance2 = sum(vals.^2,2);
PTS = find( distance2 < rCutoff^2); vals = vals(PTS,:); NptsI = size(PTS,1);
PTSN = find( distance2 >= rCutoff^2);
if (NptsI),
terms = zeros(NptsI,size(coeffI,2)); termsTMP = zeros(NptsI,D,size(coeffI,2));
termsTMP(:,:,1) = 1;
termsTMP(:,:,2) = 2 * vals;
for j=3:Nterms % Recursively compute hermite polynomials Hn(vals):
termsTMP(:,:,j) = 2.*vals.*termsTMP(:,:,j-1) - 2.*(j-2).*termsTMP(:,:,j-2);
end;
for j=1:Nterms % Then compute hermite functions: Hn(x) e^(-x^2)
termsTMP(:,:,j) = termsTMP(:,:,j) .* exp(-vals.^2);
end;
indA = ones(1,D); indB = 1;
while (indB<=Ncoeff) % Compute p^D terms...
terms(:,indB) = termsTMP(:,1,indA(1));
for j=2:D, terms(:,indB) = terms(:,indB) .* termsTMP(:,j,indA(j)); end;
indB = indB+1; indA(1)=indA(1)+1; % Increment position index
for j=1:D-1, if (indA(j)>Nterms), indA(j)=1; indA(j+1)=indA(j+1)+1; end; end;
end;
est(PTS) = est(PTS) + (coeffI * terms');
% error bound addition for included points...
err(PTS)=err(PTS) + cWt(i)*errBound;
end;
% error bound addition for excluded points... + Qin * exp(-rhoy^2+rhox^2)
err(PTSN)=err(PTSN) + cWt(i)*exp( - rCutoff^2 + (cRad/h)^2 );
end;
h = h / sqrt(2);
est = est ./ (2*pi*h^2)^(D/2);
err = err ./ (2*pi*h^2)^(D/2);
================================================
FILE: render_pipeline/kde/matlab_kde_package/evalIFGT.m
================================================
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% evalIFGT Evaluate the density estimate using the "improved" Fast Gauss Transform
%
% [e,b] = evalIFGT(X,Y,N [,Nc,rC]) -- eval likelihood ("e") of the points Y under
% the density estimate X using N coefficients of the
% "improved" Fast Gauss Transform; the value "b" is the bound
% on the (absolute) error which could arise.
%
% Optional arguments:
% Nc -- # of clusters to use for "X", default is sqrt(Npoints)
% rC -- Cutoff radius (in std deviations) to exclude contributions, default 3
%
% See: Yang, Duraiswami, Gumerov; "Improved Fast Gauss Transform", submitted to
% the Siam Journal of Scientific Computing, 2004
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [estimate,errbound] = evalIFGT(pp,q,Ncoeff,Nclusters,rCutoff)
p = kde(pp); % copy constructor to dodge later rescaling...
if (p.type ~= 0)
error('Sorry -- FGT = fast Gauss transform; it needs Gaussian kernels');
end;
if (size(p.bandwidth,2)>2*p.N)
error('Sorry -- IFGT currently supports only uniform bandwidths');
end;
if (nargin<4) Nclusters = round(sqrt(getNpts(p))); end;
if (nargin<5) rCutoff = 3; end;
if (isa(q,'kde')) qpts = getPoints(q); else qpts = q; end;
BW = getBW(p,1); BWorig = BW;
if (any( BW - BW(1) )) % CONVERT TO SINGLE, SCALAR BW:
p = rescale(p, 1./BW); % if differ in dimensions, need to rescale
qpts = qpts .* repmat(1./BW,[1,size(qpts,2)]);
BW = 1;
else BW = BW(1); % already scalar; can just drop other dim's
end;
[c,cPts,cWts,cWt,cRad] = fpClusterK(p,Nclusters);
%[c,cPts,cWts,cWt,cRad] = fpClusterR(p,sqrt(2)*BW);
coeff = findCoeff(c,cPts,cWts,cRad,BW,Ncoeff);
[estimate,errbound] = evalCoeff( qpts, c,coeff,Ncoeff,cWt,BW,cRad,rCutoff);
% Change norm. constant (due to rescaling operation)
scale = p.D*log(BW) - sum(log(BWorig));
estimate = estimate * exp(scale); errbound = errbound * exp(scale);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% fpCluster -- fast, "farthest point" clustering method
% cluster points of "p" into K clusters, described by "centers",
% "clusters" (cell array of pts to each cluster),
% cWeight (weight per cluster), and maximum radius of any cluster.
%
function [centers, clusters, weights, cWeight, radius] = fpClusterK(p, K)
points = getPoints(p); wts = getWeights(p);
[D,N] = size(points);
centers = zeros(D,K); clusters = cell(1,K); weights = cell(1,K);
assign = ones(1,N); dmin = zeros(1,N)+inf;
next = fix(rand(1)*N)+1; % choose 1st center at random
for i=1:K
centers(:,i) = points(:, next);
d = points - repmat(centers(:,i),[1,N]);
d = sqrt(sum(d.^2,1));
F=find(d rMax),
i=i+1; centers(:,i) = points(:, next);
d = points - repmat(centers(:,i),[1,N]);
d = sqrt(sum(d.^2,1));
F=find(d= rCutoff^2);
start = 0; startNew = 1;
terms = zeros(length(PTS),size(coeffI,2));
terms(:,start+1) = exp( - distance2(PTS) )';
pos = ones(1,D);
for j=2:Nterms
Nprev = startNew - start;
Nadd = sum(Nprev-pos+1);
m=1; posNew(1)=m;
for k=1:D
for l=pos(k):Nprev
terms(:,startNew+m) = vals(k,PTS)' .* terms(:,start+l);
m = m+1;
end;
if (k~=D) posNew(k+1) = m; end;
end;
pos = posNew; start = startNew; startNew = start+Nadd;
end;
est(PTS) = est(PTS) + (coeffI * terms');
% error bound addition for included points... + Qin * 2^p/p! rhox^p rhoy^p
err(PTS)=err(PTS) + cWt(i)*exp( Nterms*log(2*rCutoff)- sum(log(1:Nterms)) + Nterms*log(cRad/h) );
% error bound addition for excluded points... + Qin * exp(-rhoy^2+rhox^2)
err(PTSN)=err(PTSN) + cWt(i)*exp( - rCutoff^2 + (cRad/h)^2 );
end;
h = h / sqrt(2);
est = est ./ (2*pi*h^2)^(D/2);
err = err ./ (2*pi*h^2)^(D/2);
================================================
FILE: render_pipeline/kde/matlab_kde_package/evaluate.m
================================================
function p = evaluate(dens,pos,varargin)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% EVALUATE Evaluate the likelihood of a density estimate at given locations
%
% EVALUATE(X,Y [,...]) returns a vector of the likelihood of the points Y under
% the density estimate X, to a percent error tolerance Tol
% Y may be [Ndim x Npoints] doubles or another KDE
% Optional arguments:
% 'lvout' -- leave-one-out, used: evaluate(X,X,'lvout')
% Tol -- evaluate up to percent error tolerance Tol (default 1e-3)
% Specify zero for an exact calculation.
%
%
% See: Gray & Moore, "Very Fast Multivariate Kernel Density Estimation using
% via Computational Geometry", in Proceedings, Joint Stat. Meeting 2003
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
lvFlag = 0; errTol = 1e-3;
for i=1:nargin-2,
if (strcmp(varargin{i},'lvout')) lvFlag=1; end;
if (isa(varargin{i},'double')) errTol = varargin{i}; end;
end;
if (isa(pos,'kde')) posKDE = pos; dim = getDim(pos);
else posKDE = BallTree(pos,ones(1,size(pos,2))/size(pos,2)); dim = size(pos,1);
end;
if (getDim(dens)~= dim) error('X and Y must have the same dimension'); end;
if (lvFlag) p = DualTree(dens,errTol);
else p = DualTree(dens,posKDE,errTol);
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/examples/demo_kde_1.m
================================================
% Simple Example #1 -- construction, BW choice, plotting
%
%
fprintf('KDE Example #1 : 1D density estimate with various kernels, auto BW choices\n');
p = kde([.1,.45,.55,.8],.08); % create a mixture of 4 gaussians for testing
x = sample(p,1000); % and generate samples
figure(1); hold off;
plot(p,'r-'); hold on;
plot(kde(x,'rot'),'b-'); fprintf('.');
plot(kde(x,'lcv'),'b--'); fprintf('.');
plot(kde(x,'hall'),'b:'); fprintf('.');
plot(kde(x,'rot',ones(1,1000),'Epan'),'g-'); fprintf('.'); % Quadratic kernel instead
plot(kde(x,'lcv',ones(1,1000),'Epan'),'g--'); fprintf('.');
plot(kde(x,'hsjm',ones(1,1000),'Epan'),'g:'); fprintf('.\n');
legend('Original','Gauss Kernel, ROT','Gauss Kernel LCV','Gauss Kernel HSJM',...
'Epan Kernel ROT','Epan Kernel LCV','Epan Kernel HSJM');
================================================
FILE: render_pipeline/kde/matlab_kde_package/examples/demo_kde_2.m
================================================
% Simple Example #2 -- MI estimates, joinTrees, etc
%
%
fprintf('KDE Example #2 : MI estimates, etc\n');
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
fprintf('Jointly Gaussian with MI = %f (nits)\n',-log(.7));
x = randn(2,1000);
y = [1,.7;.7,1]^.5 * x;
p = kde(y,'rot');
p1 = marginal(p,[1]);
p2 = marginal(p,[2]);
% MI(a,b) = H(a) + H(b) - H(a,b)
MI_est = entropy(p1)+entropy(p2)-entropy(p);
fprintf(' MI_est = %f (nits)\n',MI_est);
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
fprintf('Discrete Class Conditionals with MI ~ %f (nits)\n',log(2));
x1 = .1*randn(1,200)+.9;
x2 = .1*randn(1,200)+.1;
p1 = kde(x1,'rot');
p2 = kde(x2,'rot');
p = joinTrees(p1,p2);
% MI = H(joint) - \sum p(class i) * H(x|class i)
MI_est = entropy(p) - ...
(getNpts(p1)./getNpts(p))*entropy(p1) -...
(getNpts(p2)./getNpts(p))*entropy(p2);
fprintf(' MI_est = %f (nits)\n',MI_est);
================================================
FILE: render_pipeline/kde/matlab_kde_package/examples/demo_kde_3.m
================================================
% Simple Example #3 -- products of gaussian mixtures
%
%
fprintf('KDE Example #3 : Product sampling methods (single, anecdotal run)\n');
rand('state',0);
randn('state',0);
p = kde([.1,.45,.55,.8],.05); % create a mixture of 4 gaussians for testing
q = kde([.25,.35,.7,.75],.05); % and another
p = ksize(resample(p,100),'rot');
q = ksize(resample(q,150),'rot'); fprintf('.');
pd = hist(p,100,[1],[0,1]);
qd = hist(q,100,[1],[0,1]);
%pEx = productExact(p,{p,q},{},{}); fprintf('.');
pEx = pd.*qd; pEx = 100*pEx./sum(pEx);
dummy = kde(rand(1,200),1); % placeholder for productApprox call
pSm = productApprox(dummy,{p,q},{},{},'exact'); fprintf('.');
pEp = productApprox(dummy,{p,q},{},{},'epsilon',1e-3); fprintf('.');
pGi = productApprox(dummy,{p,q},{},{},'gibbs1',100); fprintf('.');
pGM = productApprox(dummy,{p,q},{},{},'gibbsMS1',5); fprintf('.\n');
figure(1); hold off;
plot(linspace(0,1,100),pEx,'r-');
hold on;
plot(pSm,'k-');
plot(pEp,'g-');
plot(pGi,'c-');
plot(pGM,'b-');
legend('Discretized','Exact Sampling','Epsilon-Exact','Gibbs1','GibbsMS1');
================================================
FILE: render_pipeline/kde/matlab_kde_package/examples/demo_regress.m
================================================
% Simple Example #3 -- products of gaussian mixtures
%
%
fprintf('Example: Kernel Regression with KDE toolbox\n');
rand('state',0);
randn('state',0);
x = rand(1,200);
y = sin(2*pi*x) + .05*randn(1,200);
bwType = {'rot','lcv','local'}; color = ['g','r','m'];
plot(x,y,'bo');
for j=1:length(bwType)
px = kde(x,bwType{j}); bwx = getBW(px,1);
p = kde([x;y],[bwx;0]);
xx = 0:.01:1; yy = 0*xx;
for i=1:length(xx)
yy(i) = mean(condition(p,1,[xx(i);0]));
end;
hold on; tmp=plot(xx,yy,[color(j),'-']); set(tmp,'LineWidth',2); hold off;
end;
legend('Samples','ROT kernel size','Likelihd X-Val','Local L. X-val');
================================================
FILE: render_pipeline/kde/matlab_kde_package/findBWCrit.m
================================================
function BW=findBWCrit(p,Nmodes)
% BW = findBWCrit(p,Nmodes)
% find Silverman's "Critical Bandwidth" -- min BW s.t. the number of modes
% is less than or equal to Nmodes (can be a vector)
%
if (p.type ~= 0) warning('Poorly defined operation for non-Gaussian KDEs'); end;
q = kde(p); % Copy p & get max requested # of nodes
Nmodes = sort(Nmodes);
BW = zeros(getDim(q),length(Nmodes));
% Find crit BW of nMax
minm = min(sqrt(sum( (2*q.ranges(:,1:q.N-1)).^2 ,1)),[],2);
minm = max(minm,1e-6);
adjustBW(q,minm*ones(getDim(q),1)); % gotta be bigger than this
m = modes(q);
for i=length(Nmodes):-1:1
Nm = Nmodes(i);
stepsize = 2;
while (stepsize > 1.001)
adjustBW(q, getBW(q,1) * stepsize);
m2 = modes(q,m);
if (size(m2,2) > Nm), m = m2; % if still OK, keep going, else back off & slow
else adjustBW(q, getBW(q,1)/stepsize); stepsize = .9*stepsize; end;
end;
BW(:,i) = getBW(q,1);
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/getBW.m
================================================
function s = getBW(dens,ind)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% getBW(P,i) -- returns the [Nd x 1] std dev. (kernel size) associated with
% index i in the nonparametric density estimate P
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if (nargin < 2) ind=1:dens.N; end;
s = zeros(dens.D,dens.N);
s(:,double(dens.perm(dens.N + (1:dens.N)))+1) = dens.bandwidth(:,dens.N + (1:dens.N));
s = s(:,ind);
if (dens.type == 0) s = sqrt( s ); end; % stddev for gaussian
================================================
FILE: render_pipeline/kde/matlab_kde_package/getDim.m
================================================
function D = getDim(npd)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% getDim(kde) -- returns the # of dimensions of the kernel density estimate
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
D = npd.D;
================================================
FILE: render_pipeline/kde/matlab_kde_package/getNeff.m
================================================
function Neff = getNeff(dens)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% getNeff(P)
% returns an estimate of Neff, the 'effective' number of points in the NPDE
% (= sum(1/weights^2) )
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
Neff = 1/sum(getWeights(dens).^2);
================================================
FILE: render_pipeline/kde/matlab_kde_package/getNpts.m
================================================
function N = getNpts(npd)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% getNpts(kde) -- return the number of kernels in the density estimate
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
N = npd.N;
================================================
FILE: render_pipeline/kde/matlab_kde_package/getPoints.m
================================================
function pts = getPoints(dens,ind)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% getPoints(P,ind)
% returns the [Nd x Np] points of the nonparametric density estimate P
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if (nargin < 2) ind=1:dens.N; end;
pts = zeros(dens.D,dens.N);
pts(:,double(dens.perm(dens.N + (1:dens.N)))+1) = dens.centers(:,dens.N + (1:dens.N));
pts = pts(:,ind);
% pts = dens.centers(:,dens.N + ind);
================================================
FILE: render_pipeline/kde/matlab_kde_package/getType.m
================================================
function typeS = getType(dens)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% getType(P)
% return the kernel type of the kernel density estimate P
% One of : 'Gaussian', 'Laplacian', 'Epanetchnikov'
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
switch(dens.type)
case 0, typeS = 'Gaussian';
case 1, typeS = 'Epanetchnikov';
case 2, typeS = 'Laplacian';
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/getWeights.m
================================================
function wts = getWeights(dens,ind)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% getWeights(P,ind)
% returns the weights of the nonparametric density estimate P's kernels
% specified by ind.
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if (nargin < 2) ind=1:dens.N; end;
wts(double(dens.perm(dens.N + (1:dens.N)))+1) = dens.weights(dens.N + (1:dens.N));
wts = wts(:,ind);
% wts = dens.weights(:,dens.N + ind);
================================================
FILE: render_pipeline/kde/matlab_kde_package/gram.m
================================================
function G = gram(p)
%
% Compute the Gram matrix of the kernel centers in p, under the distance metric determined
% by the kernel sizes of the points; G(i,j) = (p_i*p_j')/bw_i
%
pts = getPoints(p); N = getNpts(p); d = getDim(p);
G = zeros(N);
for i=1:N
dummy=pts(:,i:end)-repmat(pts(:,i),1,N-i+1);
G(i:N,i) =-0.5*sum(dummy.^2 ./ getBW(p,i:N).^2 + log(getBW(p,i:N).^2) ,1)';
G(i,i:N) =-0.5*sum(dummy.^2 ./ repmat(getBW(p,i).^2,[1,N-i+1]) + repmat(log(getBW(p,i).^2) ,[1,N-i+1]) ,1);
end
G = exp(G) ./ (2*pi)^(d/2);
================================================
FILE: render_pipeline/kde/matlab_kde_package/hist.m
================================================
function [h,varargout] = hist(dens,N,dims,range)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% [H,X,Y] = hist(dens [,N][,dims][,range]) -- make a "histogram" of a KDE
%
% Discretizes the KDE by evaluating it at a number of bins (N).
% For 1-D densities, H is the normalized density evaluated at X.
% Usage: [Y,X] = hist(p,100); plot(X,Y);
% For k-D densities, H is the [len(X) x len(Y)] normalized values
% evaluated at every pair (X,Y). If only two values are returned,
% the second will be the matrix of 2-D (X,Y) pairs; if three are
% returned the latter two will be the vectors X and Y.
% Usage: mesh(hist(p,100,[1,3]))
%
% see also: kde, plot
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if (nargin < 4) range = []; end;
if (nargin < 3) dims = [1,2]; end;
if (nargin < 2) N = 200; end;
if ((getDim(dens) == 1) || (length(dims)==1)), % 1-dimensional density estimate
if (getDim(dens)>1) dens = marginal(dens,dims); end;
if (~range) range = [min(getPoints(dens)),max(getPoints(dens))]; end;
X = linspace(range(1),range(2),N(1));
h = evaluate(dens,X);
% h = h / sum(h,2);
if (nargout==2) varargout{1} = X; end;
else % k-dimensional density estimate
if (size(N) == 1) N = N*ones(1,length(dims)); end;
if (length(range)==0) range = [min(getPoints(dens),[],2),max(getPoints(dens),[],2)]; end;
X = linspace(range(dims(1),1),range(dims(1),2),N(1));
Y = linspace(range(dims(2),1),range(dims(2),2),N(2));
XY = [repmat(reshape(X,[1,N(1),1]),[1,1,N(2)]) ;
repmat(reshape(Y,[1,1,N(2)]),[1,N(1),1]) ];
h = evaluate(marginal(dens,dims(1:2)),reshape(XY,[2,N(1)*N(2)]));
% h = h / sum(h,2);
h = reshape(h,[N(1),N(2)]);
if (nargout==2) varargout{1} = XY; end;
if (nargout==3) varargout{1} = X; varargout{2} = Y; end;
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/ise.m
================================================
function v = ise(p,q,type)
%
% ise(p,q [,'type']) -- estimate the integrated squared error between
% two densities p,q
% type:
% [double] -- use "epsilon-exact" product with this value for epsilon
% 'p','q' -- use the samples at p (or at q)
% 'pq' -- use both samples at p & q
%
if (nargin < 3) type = 0; end;
if (isa(type,'double')) v = iseEpsilon(p,q,type);
else
switch type
% Three different monte-carlo estimates (different proposals)
case {'p'}, x = getPoints(p); quo = evaluate(p,x);
v = mean( (evaluate(p,x) - evaluate(q,x)).^2 ./ quo);
case {'q'}, x = getPoints(q); quo = evaluate(q,x);
v = mean( (evaluate(p,x) - evaluate(q,x)).^2 ./ quo);
case {'pq'},x = [getPoints(p),getPoints(q)]; quo = .5*(evaluate(p,x)+evaluate(q,x));
v = mean( (evaluate(p,x) - evaluate(q,x)).^2 ./ quo);
% and one (possible) estimate from Mark Girolami
case {'abs'}, eval1 = evaluate(p,p); eval2 = evaluate(q,p);
if (min(eval2) == 0) v = inf;
else v = getWeights(p) * (eval1 .* abs(log(eval1./eval2)))';
end;
end;
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/joinTrees.m
================================================
function t1 = joinTrees(t1, t2, alpha)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% t12 = joinTrees(t1, t2, alpha)
% create a new KD-tree with t1 and t2 as the children of the root
% The t1 subtree recieves weight alpha; the t2 subtree has wt. 1-alpha
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
if(t1.D ~= t2.D)
error('Input trees have different dimensionality!');
end
if(isfield(t1, 'type') ~= isfield(t2, 'type'))
error('Cant merge BallTree with BallTreeDensity!');
end
if(t1.type ~= t2.type)
error('Trees must have the same type of kernel!');
end
if(nargin < 2 || nargin > 3)
error('wrong number of arguments');
end
if(nargin == 2)
alpha = 0.5;
end
% leave off one of the zeros between leaves and nodes
if(t1.N==1) t1nodes = []; t1leaves=[1];
else t1nodes = [1:t1.N-1]; t1leaves = [t1.N+1:2*t1.N]; end;
if(t2.N==1) t2nodes = []; t2leaves = [1];
else t2nodes = [1:t2.N-1]; t2leaves = [t2.N+1:2*t2.N]; end;
if(t1.N~=1) t1root=2;
else t1root=3+length(t2nodes);
end
if(t2.N~=1) t2root=2+length(t1nodes);
else t2root=3+length(t1nodes)+length(t1leaves);
end
t1N = t1.N;
t1.N = t1.N + t2.N;
Os = zeros(t1.D, 1);
t1.centers = [Os t1.centers(:,t1nodes) t2.centers(:,t2nodes) Os ...
t1.centers(:,t1leaves) t2.centers(:,t2leaves)];
t1.ranges = [Os t1.ranges(:,t1nodes) t2.ranges(:,t2nodes) Os t1.ranges(:,t1leaves) ...
t2.ranges(:,t2leaves)];
t1.weights = [0 alpha*t1.weights(t1nodes) (1-alpha)*t2.weights(t2nodes) 0 ...
alpha*t1.weights(t1leaves) (1-alpha)*t2.weights(t2leaves)];
t1.means = [Os t1.means(:,t1nodes) t2.means(:,t2nodes) Os ...
t1.means(:,t1leaves) t2.means(:,t2leaves)];
% take care of variable BWs
t1varBWs = size(t1.bandwidth, 2) > 2*t1N;
t2varBWs = size(t2.bandwidth, 2) > 2*t2.N;
varBWs = t1varBWs || t2varBWs || ...
sum(t1.bandwidth(:,1) ~= t2.bandwidth(:,1)) > 0;
if(varBWs)
t1.bandwidth = [Os t1.bandwidth(:,t1nodes) t2.bandwidth(:,t2nodes) ...
Os t1.bandwidth(:,t1leaves) t2.bandwidth(:,t2leaves) ...
Os t1.bandwidth(:,t1nodes+2*t1N*t1varBWs) ...
t2.bandwidth(:,t2nodes+2*t2.N*t2varBWs) Os ...
t1.bandwidth(:,t1leaves+2*t1N*t1varBWs) ...
t2.bandwidth(:,t2leaves+2*t2.N*t2varBWs) Os ...
t1.bandwidth(:,t1nodes+4*t1N*t1varBWs) ...
t2.bandwidth(:,t2nodes+4*t2.N*t2varBWs) Os ...
t1.bandwidth(:,t1leaves+4*t1N*t1varBWs) ...
t2.bandwidth(:,t2leaves+4*t2.N*t2varBWs) ];
else
t1.bandwidth = [Os t1.bandwidth(:,t1nodes) t2.bandwidth(:,t2nodes) ...
Os t1.bandwidth(:,t1leaves) t2.bandwidth(:,t2leaves)];
end
%%%% Do stuff from calcStats because calcStats is protected. Don't
% change calc stats or this won't work.
ax = max(t1.centers(:,t1root)+t1.ranges(:,t1root), ...
t1.centers(:,t2root)+t1.ranges(:,t2root));
in = min(t1.centers(:,t1root)-t1.ranges(:,t1root), ...
t1.centers(:,t2root)-t1.ranges(:,t2root));
t1.centers(:,1) = (ax+in)/2;
t1.ranges(:,1) = (ax-in)/2;
%calcuate weight
t1.weights(1) = t1.weights(t1root) + t1.weights(t2root);
W = sum(t1.weights(t1.N+1:2*t1.N));
t1.weights = t1.weights / W; % normalize
t1w = t1.weights(t1root) / t1.weights(1);
t2w = t1.weights(t2root) / t1.weights(1);
%calculate mean
t1.means(:,1) = t1w*t1.means(:,t1root) + t2w*t1.means(:,t2root);
%calculate bandwidth
type = getType(t1);
if(strcmp(type, 'Gaussian'))
t1.bandwidth(:,1) = t1w * (t1.bandwidth(:,t1root) + t1.means(:,t1root).^2) ...
+ t2w * (t1.bandwidth(:,t2root) + t1.means(:,t2root).^2) - ...
t1.means(:,1).^2;
elseif(strcmp(type, 'Epanetchnikov'))
t1.bandwidth(:,1) = sqrt(.5 * (t1w * (2*t1.bandwidth(:,t1root).^2 ...
+ t1.means(:,t1root).^2) ...
+ t2w * (2*t1.bandwidth(:,t2root).^2 ...
+ t1.means(:,t2root).^2) ...
- t1.means(:,1).^2));
elseif(strcmp(type, 'Laplacian'))
t1.bandwidth(:,1) = sqrt(5 * (t1w * (.2*t1.bandwidth(:,t1root).^2 ...
+ t1.means(:,t1root).^2) ...
+ t2w * (.2*t1.bandwidth(:,t2root).^2 ...
+ t1.means(:,t2root).^2) ...
- t1.means(:,1).^2));
else
error(['unknown kernel type: ' type])
end
% take care of max and min BWs for variable bandwidths
if(varBWs)
t1.bandwidth(:,1+2*t1.N) = max(t1.bandwidth(:,t1root+2*t1.N), t1.bandwidth(:,t2root+2*t1.N));
t1.bandwidth(:,1+4*t1.N) = min(t1.bandwidth(:,t1root+4*t1.N), t1.bandwidth(:,t2root+4*t1.N));
end
t1n = 1;
t2n = 1 + length(t1nodes);
t1l = 1 + length(t2nodes);
t2l = 1 + length(t1nodes) + length(t1leaves);
% arrays are zero indexed
t1.lower = [t1.N addUints(t1.lower(t1nodes),t1l) ...
addUints(t2.lower(t2nodes),t2l) 0 ...
addUints(t1.lower(t1leaves),t1l) ...
addUints(t2.lower(t2leaves),t2l)];
t1.upper = [2*t1.N-1 addUints(t1.upper(t1nodes),t1l) ...
addUints(t2.upper(t2nodes),t2l) 0 ...
addUints(t1.upper(t1leaves),t1l) ...
addUints(t2.upper(t2leaves),t2l)];
t1leftch = addUints(t1.leftch, (t1.leftch < t1N) * t1n + ...
(t1.leftch >= t1N) * t1l);
t2leftch = addUints(t2.leftch, (t2.leftch < t2.N) * t2n + ...
(t2.leftch >= t2.N) * t2l);
t1rightch = addUints(t1.rightch, (t1.rightch < t1N) * t1n + ...
(t1.rightch >= t1N) .* (t1.rightch < 4e9) * t1l);
t2rightch = addUints(t2.rightch, (t2.rightch < t2.N) * t2n + ...
(t2.rightch >= t2.N) .* (t2.rightch < 4e9) * t2l);
t1.leftch = [d2uint(t1root) t1leftch(t1nodes) t2leftch(t2nodes) ...
0 t1leftch(t1leaves) t2leftch(t2leaves)];
t1.rightch = [d2uint(t2root) t1rightch(t1nodes), t2rightch(t2nodes) ...
0 t1rightch(t1leaves) t2rightch(t2leaves)];
t1.perm = [0 t1.perm(t1nodes) t2.perm(t2nodes) 0 t1.perm(t1leaves) ...
addUints(t2.perm(t2leaves),length(t1leaves))];
function c = addUints(a, b)
c = uint32(double(a) + double(b));
function u = d2uint(d)
u = uint32(d - 1);
================================================
FILE: render_pipeline/kde/matlab_kde_package/kde.m
================================================
function p = kde(points,ks,weights,typeS)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% kde(points,ksize[,weights][,type]) -- nonparametric density estimate of a pdf
%
% points is the [Ndim x Npoints] array of kernel locations
% ksize may be a scalar, [Ndim x 1], [Ndim x Npoints], or
% a string (for data-based methods; see @kde/ksize for allowed methods)
% weights is [1 x Npoints] and need not be pre-normalized
% type can be one of: 'Gaussian', 'Laplacian', 'Epanetchnikov'
% (only 1st letter required) (Gaussian by default)
%
% See also: ksize, getPoints, getBW, getWeights, getType
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
type = 0;
kstype = [];
if ((nargin == 1) & isa(points,'kde'))
% CONSTRUCTOR FROM KDE-TYPE
type = points.type; weights = getWeights(points);
if (size(points.bandwidth,2)>2*points.N), ks = getBW(points,1:getNpts(points));
else ks = getBW(points,1); end;
if (type == 0), ks = ks.^2; end;
points = getPoints(points);
elseif (nargin == 1) % ugh, needed for deserialization
for i=1:numel(points)
p(i) = class(points(i), 'kde');
end
p = reshape(p, size(points));
return
else if (nargin > 0)
% CONSTRUCTOR FROM RAW DATA
error(nargchk(2,4,nargin));
if (isa(ks,'char')) kstype = ks; ks =1; end;
if (size(ks,1) == 1) ks = repmat(ks,[size(points,1),1]); end;
if (nargin < 3) weights = ones(1,size(points,2)); end;
if (isempty(weights)) weights = ones(1,size(points,2)); end;
if (nargin < 4) typeS = 'g';
else typeS = lower(typeS); typeS = typeS(1); end;
switch(typeS)
case 'l', type = 2;
case 'e', type = 1;
case 'g', type = 0; ks = ks.^2;
otherwise, error('Type must be one of (G)aussian, (L)aplacian, or (E)panetchnikov');
end;
weights = weights/sum(weights);
% Check matrix sizes:
[D,N] = size(points);
if any(size(weights)~=[1,N]) error('Weights must be [1xNpoints] (or empty)'); end;
bwsize = size(ks);
if (any(bwsize~=[1,1]) && any(bwsize~=[D,1]) && any(bwsize~=[D,N]))
error('Bandwidth must be scalar, [Dx1], [DxN], or an automatic selection method');
end;
else
% EMPTY CONSTRUCTOR
points = []; ks = []; weights = [];
end; end;
p = BallTreeDensity(points,weights,ks,type);
% p = class(p,'kde');
if (length(kstype))
p = ksize(p,kstype);
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/klGrad.m
================================================
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% [err1,err2]=klGrad(dens1,dens2,estType)
% Compute gradient of a KL-divergence estimate, D(dens1 || dens2);
% estType is one of:
% ise : integrated squared error from uniform estimate (not yet implemented)
% rs,lln,means : law of large numbers resubstitution estimate; kld(p1,p2,'rs')
% abs : abs(LLN); similar to above but minimizing kld(p1,p2,'abs')
% KL,dist : nearest-neighbor distance based estimate (not yet implemented)
%
% see also: kde, miGrad, entropyGrad, adjustPoints
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
function [err1,err2]=klGrad(p1,p2,estType,respectTo)
if (nargin < 3), estType = 'lvout'; end;
if (nargin < 4), respectTo = 0; end;
switch (lower(estType))
case 'lvout2', % deriv(D(p1||p2) - H(p1) - H(p2))
[dPLPdens, dPLPat] = llGrad(p1,respectTo,1e-3,1e-3);
[dQLQdens, dQLQat] = llGrad(p2,respectTo,1e-3,1e-3);
[dPLQdens, dPLQat] = llGrad(p2,p1,respectTo,1e-3,1e-3);
%LP = evaluate(p1,p1,'lvout');
%LP20 = prctile(LP,20);
%LQ = evaluate(p2,p2,'lvout');
%LQ20 = prctile(LQ,20);
%errXX1(:,LP gradient of a resubstitution estimate of negentropy)
% type: what to take gradient with respect to.
% 0 = means, 1 = bw (variance), 2=weights
% tolGrad is an acceptable error tolerance on the gradient values
% tolEval is a *percent* tolerance on the evaluation done as a
% subroutine in the calculation; it should be tight enough to allow
% tolGrad to be achieved but beyond that, larger => faster.
%
% Specifically, using the resubstition estimate
% \hat H = \sum_j v_j \log \sum_i w_i K(x_i - y_j)
% The outputs are
% err1(:,i) = \sum_j v_j 1/p(y_j) dp(y_j)/dx_i = E_y[ 1/p dp/dx_i ]
% err2(:,j) = v_j 1/p(y_j) p'(y_j)
%
% Note: [err1,err2] = llGrad(p1, type [, tolGrad ,tolEval]) computes the leave-
% one-out resub. estimate, similar to llGrad(p1,p1,type...)
%
% Some useful estimates which can be made using this function:
%
% ENTROPY GRADIENT
% [err1, err2] = llGrad(p,p,1e-3,1e-3);
% p -= (err1 + err2) moves p in the direction of increasing entropy
%
% KL-DIVERGENCE GRADIENT
% [errXX1, errXX2] = llGrad(p1,p1,1e-3,1e-3);
% [errXYY, errXYX] = llGrad(p2,p1,1e-3,1e-3);
% err1 = (errXX1 + errXX2 - errXYX);
% err2 = (-errXYY);
% p1 += err1, p2 += err2 moves p1,p2 in the direction of increasing KLDiv
%
% See also: klGrad, miGrad, entropyGrad, adjustPoints
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
%#mex
error('MEX-file kde/llGrad not found -- please recompile if necessary');
% Incorrect: Mean shift corresponds to an estimate of 1/p(y) p'(y) where
% p'(y) is computed using the Epan. kernel while p(y) is computed using
% a uniform kernel with the same support. This does *not* correspond to
% the derivative of log-likelihood for any KDE (that I know of)
%
% MEAN-SHIFT
% For equal weight uniform bandwidth Epan. kernel densities,
% the mean shift algorithm (Comaniciu '99) is given by
% [err1, err2] = llGrad(p,p,1e-3,1e-3);
% p += .5*getNpts(p)*getBW(p,1)^2 * err2
%
================================================
FILE: render_pipeline/kde/matlab_kde_package/llHess.m
================================================
function Hessians = llHess(p1,p2,tolGrad,tolEval)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% H = llHess(p1, p2, tolGrad [,tolEval])
%
% Compute the Hessian of the log-likelihood log(p1) eval'd at locations p2
% p2 is a KDE or double matrix; H is (D x D x Npts)
% tolGrad and tolEval are not used in the current implementation.
%
% See also: llGrad
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
%
% Should probably be MEX'd, but I haven't gotten around to it yet.
%
if (isa(p2,'kde')), X2 = getPoints(p2); else X2 = p2; p2 = kde(X2,1); end;
X1 = getPoints(p1);
N = size(X1,2); M = size(X2,2); D = size(X1,1);
Hessians = zeros(D,D,M);
px = evaluate(p1,p2);
[tmp, grad] = llGrad(p1,p2,0);
BW = getBW(p1,1:N); wts = getWeights(p1);
for m=1:M % for each point to evaluate at,
x = X2(:,m); % rename for convenience
Hessians(:,:,m) = -grad(:,m)*grad(:,m)'; % first term: outer prod. of gradients
diff = X1 - repmat(x,[1,N]);
HessAdd = zeros(D,D); % compute 2nd term of Hessian:
if (p1.type == 0) % GAUSSIAN KERNEL
K = (2*pi)^(D/2) * exp( - diff.^2 ./ 2 ./ BW.^2 ) ./ getBW(p1,1:N);
Kp = - diff./BW.^2 .* K;
Kpp= (-K./BW.^2) + (-diff./BW.^2 .* Kp);
elseif (p1.type == 1) % EPANETCH. KERNEL
K = 1./BW .* max( 1 - (diff./BW).^2 , 0);
Kpp= -(K~=0) .* 2 ./ BW.^3;
Kp = Kpp .* diff;
elseif (p1.type == 2) % LAPLACIAN KERNEL
K = 1./BW .* exp( - diff ./ BW );
Kp = - diff./BW .* K;
Kpp= - K./BW + (-diff./BW .* Kp);
end;
for dim=1:D
HessAdd(dim,dim) = (wts * (Kpp(dim,:) .* prod(K([1:dim-1,dim+1:D],:),1))');
for dim2=dim+1:D
HessAdd(dim,dim2)= (wts * (Kp(dim,:).*Kp(dim2,:).*prod(K([1:dim-1,dim+1:dim2-1,dim2+1:D],:),1))');
HessAdd(dim2,dim) = HessAdd(dim,dim2);
end;end;
Hessians(:,:,m) = Hessians(:,:,m) + HessAdd ./ px(m);
end;
================================================
FILE: render_pipeline/kde/matlab_kde_package/marginal.m
================================================
function p = marginal(dens,ind)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%
% p = marginal(p2,ind) -- find the marginal of a kde on the given indices
%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
pts = getPoints(dens);
if (size(dens.bandwidth,2) > 2*dens.N)
sig = getBW(dens,1:getNpts(dens)); % Many different BWs?
else % Or all BWs the same
sig = getBW(dens,1);
end;
wts = getWeights(dens);
p = kde(pts(ind,:),sig(ind,:),wts,getType(dens));
================================================
FILE: render_pipeline/kde/matlab_kde_package/max.m
================================================
function X = max(kde)
% X = max(p)
% A simple estimate of the maximal peak location of p; returns the kernel location
% with the largest density estimate.
%
% See also: kde, mean, getPoints
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
L = evaluate(kde,getPoints(kde));
[mx,mxind] = max(L);
X = getPoints(kde,mxind(1));
================================================
FILE: render_pipeline/kde/matlab_kde_package/maxlogerr.m
================================================
function [maxVal,location] = logerr(p,q)
%
% modes = logerr(p,q) -- Find location of max. log-error between p&q
%
%
%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
start = [getPoints(p),getPoints(q)];
tol=1e-4; % set tolerance values etc.
max_it=1000;
minDistance = 1e-2;
ppts = getPoints(p); pwts = getWeights(p); NptsP = size(ppts,2); pBW = getBW(p,1:NptsP);
qpts = getPoints(q); qwts = getWeights(q); NptsQ = size(qpts,2); qBW = getBW(q,1:NptsQ); bwMin = min([pBW,qBW],[],2);
Ndim = size(ppts,1); Nloc = size(start,2);
modeList = []; vals = []; bwmin = min([min(min(pBW)),min(min(qBW))]);
for m=1:Nloc % From each location given:
x = start(:,m); % rename for convenience
xTmp = x+inf;
iter = 1; alpha = .1; dxprev = 0*x;
% GRADIENT ASCENT TO FIND A MODE:
while (tol < dist(x,xTmp,bwMin) && iter < max_it) % Iterate until convergence:
pdiff = ppts - repmat(x,[1,NptsP]); % get distance from kernel centers
qdiff = qpts - repmat(x,[1,NptsQ]);
xTmp = x; % and compute the update:
if (strcmp('GaussianGaussian',[getType(p),getType(q)]))
Kp = prod(exp(-.5*(pdiff./pBW).^2)./pBW,1);
Kq = prod(exp(-.5*(qdiff./qBW).^2)./qBW,1);
px = pwts * Kp'; qx = qwts * Kq'; px = px + eps; qx = qx + eps;
dx = (pdiff./ pBW.^2)*(pwts .* Kp)'./px - (qdiff./ qBW.^2)*(qwts .* Kq)'./qx;
x = sign(log(px/qx)) * alpha * dx + x;
else error('Sorry; KDE type(s) not implemented');
end;
if (min(dx .* dxprev)>0) alpha = alpha ./ .9; else alpha = .5*alpha; end;
if (alpha < 1e-3) iter = inf; end;
dxprev = dx;
iter = iter + 1; % increment and continue
end
% if (iter < max_it)
modeList = [modeList,x]; % save all extremum
vals = [vals,abs(log(px/qx))]; % and how extreme
% end;
end
[vals,order] = sort(-vals);
modeList = modeList(:,order);
m = 1; % Remove any redundant modes:
while (m < size(modeList,2)) % start with "best" modes and
ind = [m+1:size(modeList,2)]; % work downwards:
d = dist( modeList(:,ind), modeList(:,m+0*ind), bwMin(:,1+0*ind));
ok = find(d > minDistance); % remove any within minDistance
modeList = modeList(:,[1:m,m+ok]); % of a better mode
vals = vals(:,[1:m,m+ok]);
m = m+1;
end;
maxVal = -vals(1); location = modeList(:,1);
function d=dist(x,y,bw)
d = sqrt( sum( ((x-y)./bw).^2 ,1));
================================================
FILE: render_pipeline/kde/matlab_kde_package/mean.m
================================================
function m = mean(dens)
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% mean(dens) -- returns the mean of a given KDE
%
% See also: kde, covar, max
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
m = dens.means(:,1);
================================================
FILE: render_pipeline/kde/matlab_kde_package/mex/BallTree.cpp
================================================
//
// Matlab MEX interface for KD-tree C++ functions
//
// Written by Alex Ihler and Mike Mandel
// Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
//
#define MEX
#include "cpp/BallTree.h"
#include "mex.h"
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])
{
// check for the right number of arguments
if(nrhs != 2)
mexErrMsgTxt("Takes 2 input arguments");
if(nlhs != 1)
mexErrMsgTxt("Outputs one result (a structure)");
// points, weights
plhs[0] = BallTree::createInMatlab(prhs[0],prhs[1]);
}
================================================
FILE: render_pipeline/kde/matlab_kde_package/mex/BallTreeDensity.cpp
================================================
//
// Matlab MEX interface for KD-tree C++ functions
//
// Written by Alex Ihler and Mike Mandel
// Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
//
#define MEX
#include "cpp/BallTreeDensity.h"
#include "mex.h"
void mexFunction(int nlhs, mxArray *plhs[], int nrhs, const mxArray *prhs[])
{
// check for the right number of arguments
if((nrhs < 3)||(nrhs > 4))
mexErrMsgTxt("Takes 3-4 input arguments");
if(nlhs != 1)
mexErrMsgTxt("Outputs one result (a structure)");
if (nrhs == 3) // points, weights, bandwidths
plhs[0] = BallTreeDensity::createInMatlab(prhs[0],prhs[1],prhs[2]);
else { // points, weights, bandwidths,type
int ktype = (int) mxGetScalar(prhs[3]);
plhs[0] = BallTreeDensity::createInMatlab(prhs[0],prhs[1],prhs[2],(BallTreeDensity::KernelType) ktype);
}
}
================================================
FILE: render_pipeline/kde/matlab_kde_package/mex/DualTree.cpp
================================================
//
// Matlab MEX interface for KD-tree C++ functions
//
// Written by Alex Ihler and Mike Mandel
// Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
//
#define MEX
#include
#include "mex.h"
#include "cpp/BallTreeDensity.h"
void mexFunction(int nlhs, mxArray *plhs[],int nrhs, const mxArray *prhs[])
{
// verify arguments
if (nrhs > 3 || nrhs < 2)
mexErrMsgTxt("Takes 2-3 input arguments");
if (nlhs > 1)
mexErrMsgTxt("Outputs 1 results");
BallTreeDensity densTree = BallTreeDensity(prhs[0]);
if (nrhs == 3) { // REGULAR VERSION
BallTree atTree = BallTree(prhs[1]);
double maxErr= mxGetScalar(prhs[2]);
plhs[0] = mxCreateDoubleMatrix(1,atTree.Npts(),mxREAL); // allocate return vals
densTree.evaluate(atTree, mxGetPr(plhs[0]), maxErr); // and evaluate
} else { // LEAVE-ONE-OUT VERSION
double maxErr= mxGetScalar(prhs[1]);
plhs[0] = mxCreateDoubleMatrix(1,densTree.Npts(),mxREAL); // allocate return vals
densTree.evaluate(mxGetPr(plhs[0]), maxErr); // and evaluate
}
}
================================================
FILE: render_pipeline/kde/matlab_kde_package/mex/adjustBW.cpp
================================================
//
// Matlab MEX interface for KD-tree C++ functions
//
// Written by Alex Ihler and Mike Mandel
// Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
//
#define MEX
#include
#include "mex.h"
#include "cpp/BallTreeDensity.h"
void mexFunction(int nlhs, mxArray *plhs[],int nrhs, const mxArray *prhs[])
{
// verify arguments
if (nrhs != 2)
mexErrMsgTxt("Takes 2 input arguments");
if (nlhs != 0)
mexErrMsgTxt("Outputs no results; modifies passed kde by reference.");
BallTreeDensity densTree = BallTreeDensity(prhs[0]);
int N = mxGetN(prhs[1]);
int M = mxGetM(prhs[1]);
if (N != densTree.Npts() && N != 1)
mexErrMsgTxt("Wrong number of bandwidths");
if (M != densTree.Ndim())
mexErrMsgTxt("Wrong dimension for bandwidths");
double* newBWs = mxGetPr(prhs[1]);
if(densTree.getType() == BallTreeDensity::Gaussian) {
double *newBWtmp = newBWs;
newBWs = new double[M*N];
for(BallTree::index i=0; i
#include "mex.h"
#include "cpp/BallTreeDensity.h"
void mexFunction(int nlhs, mxArray *plhs[],int nrhs, const mxArray *prhs[])
{
// verify arguments
if (nrhs > 2 || nrhs < 2)
mexErrMsgTxt("Takes 2 input arguments");
if (nlhs != 0)
mexErrMsgTxt("Outputs no results; modifies passed kde by reference.");
BallTreeDensity densTree = BallTreeDensity(prhs[0]);
double* delta = (double*) mxGetData(prhs[1]);
densTree.movePoints(delta);
}
================================================
FILE: render_pipeline/kde/matlab_kde_package/mex/adjustWeights.cpp
================================================
//
// Matlab MEX interface for KD-tree C++ functions
//
// Written by Alex Ihler and Mike Mandel
// Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
//
#define MEX
#include
#include "mex.h"
#include "cpp/BallTreeDensity.h"
void mexFunction(int nlhs, mxArray *plhs[],int nrhs, const mxArray *prhs[])
{
// verify arguments
if (nrhs != 2)
mexErrMsgTxt("Takes 2 input arguments");
if (nlhs != 0)
mexErrMsgTxt("Outputs no results; modifies passed kde by reference.");
BallTreeDensity densTree = BallTreeDensity(prhs[0]);
if (mxGetM(prhs[1]) != 1)
mexErrMsgTxt("New weights must be a row vector");
if (mxGetN(prhs[1]) != densTree.Npts())
mexErrMsgTxt("Wrong number of weights");
double* newWeights = (double*) mxGetData(prhs[1]);
densTree.changeWeights(newWeights);
}
================================================
FILE: render_pipeline/kde/matlab_kde_package/mex/cpp/BallTree.h
================================================
//////////////////////////////////////////////////////////////////////////////////////
// BallTree.h -- class definition for a BallTree (actually KD-tree) object
//
// A few functions are defined only for MEX calls (construction & load from matlab)
// Most others can be used more generally.
//
//////////////////////////////////////////////////////////////////////////////////////
//
// Written by Alex Ihler and Mike Mandel
// Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
//
//////////////////////////////////////////////////////////////////////////////////////
#ifndef __BALL_TREE_H
#define __BALL_TREE_H
#ifdef MEX
#include "mex.h"
#endif
#include
#include
#define FALSE 0
#define TRUE 1
double log(double);
double exp(double);
double sqrt(double);
double pow(double , double);
double fabs(double);
#define PI 3.141592653589
class BallTree {
public:
//typedef unsigned int index; // define "index" type (long)
typedef uint32_t index; // define "index" type (long)
const static BallTree::index NO_CHILD = (index) -1; // indicates no further children
/////////////////////////////
// Constructors
/////////////////////////////
//BallTree( unsigned int d, index N, double* centers_,
// double* ranges_, double* weights_ );
#ifdef MEX
BallTree();
BallTree(const mxArray* structure); // for loading ball trees from matlab
// For creating BallTree structures in matlab:
static mxArray* createInMatlab(const mxArray* pts, const mxArray* wts);
#endif
/////////////////////////////
// Accessor Functions
/////////////////////////////
BallTree::index root() const { return 0; }
unsigned int Ndim() const { return dims; }
index Npts() const { return num_points; }
index Npts(BallTree::index i) const { return highest_leaf[i]-lowest_leaf[i]+1; }
const double* center(BallTree::index i) const { return centers+i*dims; }
const double* range(BallTree::index i) const { return ranges +i*dims; }
double weight(BallTree::index i) const { return *(weights+i); }
bool isLeaf(BallTree::index ind) const { return ind >= num_points; }
bool validIndex(BallTree::index ind) const { return ((0<=ind) && (ind < 2*num_points)); }
BallTree::index left(BallTree::index i) const { return left_child[i]; }
BallTree::index right(BallTree::index i) const { return right_child[i]; }
BallTree::index leafFirst(BallTree::index i) const { return lowest_leaf[i]; }
BallTree::index leafLast(BallTree::index i) const { return highest_leaf[i]; }
// Convert a BallTree::index to the numeric index in the original data
index getIndexOf(BallTree::index i) const { return permutation[i]; }
void movePoints(double*);
void changeWeights(const double *);
// Test two sub-trees to see which is nearer another BallTree
BallTree::index closer(BallTree::index, BallTree::index, const BallTree&,BallTree::index) const;
BallTree::index closer(BallTree::index i, BallTree::index j, const BallTree& other_tree) const
{ return closer(i,j,other_tree,other_tree.root()); };
void kNearestNeighbors(index *, double *, const double *, int, int) const;
/////////////////////////////
// Private class f'ns
/////////////////////////////
protected:
#ifdef MEX
static mxArray* matlabMakeStruct(const mxArray* pts, const mxArray* wts);
#endif
virtual void calcStats(BallTree::index); // construction recursion
unsigned int dims; // dimension of data
BallTree::index num_points; // # of points
double *centers; // ball centers, dims numbers per ball
double *ranges; // bounding box ranges, dims per ball, dist from center to one side
double *weights; // total weight in each ball
BallTree::index *left_child, *right_child; // left, right children; no parent indices
BallTree::index *lowest_leaf, *highest_leaf; // lower & upper leaf indices for each ball
BallTree::index *permutation; // point's position in the original data
BallTree::index next; // internal var for placing the non-leaf nodes
static const char *FIELD_NAMES[]; // list of matlab structure fields
static const int nfields;
// for building the ball tree
void buildBall(BallTree::index firstLeaf, BallTree::index lastLeaf, BallTree::index root);
BallTree::index most_spread_coord(BallTree::index, BallTree::index) const;
BallTree::index partition(unsigned int dim, BallTree::index low, BallTree::index high);
virtual void swap(BallTree::index, BallTree::index); // leaf-swapping function
void select(unsigned int dimension, index position,
index low, index high);
double minDist(index, const double*) const;
double maxDist(index, const double*) const;
// build the non-leaf nodes from the leaves
void buildTree();
};
#endif
================================================
FILE: render_pipeline/kde/matlab_kde_package/mex/cpp/BallTreeClass.cc
================================================
//////////////////////////////////////////////////////////////////////////////////////
// BallTreeClass -- class definitions for a BallTree (actually KD-tree)
// object, primarily for use in matlab MEX files.
//
// See BallTree.h for the class definition.
//
//////////////////////////////////////////////////////////////////////////////////////
//
// Written by Alex Ihler and Mike Mandel
// Copyright (C) 2003 Alexander Ihler; distributable under GPL -- see README.txt
//
//////////////////////////////////////////////////////////////////////////////////////
#define MEX
#include
#include "BallTree.h"
#include
#include