Fast-Pairwise-Geodesic-Distance-Computation
Matlab code for a fast computation of pairwise geodesic distances on 3D triangle meshes, and on point clouds of any dimension.
Setup & Usage
The project was tested on OSX with Matlab R2019a, and should work on windows 64 as well, to run it:
- Download files
- Run DEMO_detailed.m
For your convenience, the code is also consiced in DEMO_only_code.m without the comments, visualizations, and options.
Citation
If you use these ideas, please cite the papers (1) Efficient Inter-Geodesic Distance Computation and Fast Classical Scaling and (2) Accelerating the computation of canonical forms for 3D nonrigid objects using Multidimensional Scaling :
@article{shamai2018efficient,
title={Efficient Inter-Geodesic Distance Computation and Fast Classical Scaling},
author={Shamai, Gil and Zibulevsky, Michael and Kimmel, Ron},
journal={IEEE transactions on pattern analysis and machine intelligence},
year={2018},
publisher={IEEE}
}
@inproceedings{shamai2015accelerating,
title={Accelerating the computation of canonical forms for 3D nonrigid objects using multidimensional scaling},
author={Shamai, Gil and Zibulevsky, Michael and Kimmel, Ron},
booktitle={Proceedings of the 2015 Eurographics Workshop on 3D Object Retrieval},
pages={71--78},
year={2015},
organization={Eurographics Association}
}
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