Optimal mass transport for shape matching and comparison

Zhengyu Su Yalin Wang Rui Shi Wei Zeng Jian Sun Feng Luo Xianfeng Gu

Numerical Analysis and Scientific Computing mathscidoc:1912.43781

IEEE transactions on pattern analysis and machine intelligence, 37, (11), 2246-2259, 2015.3
Surface based 3D shape analysis plays a fundamental role in computer vision and medical imaging. This work proposes to use optimal mass transport map for shape matching and comparison, focusing on two important applications including surface registration and shape space. The computation of the optimal mass transport map is based on Monge-Brenier theory, in comparison to the conventional method based on Monge-Kantorovich theory, this method significantly improves the efficiency by reducing computational complexity from O(n <sup>2</sup> ) to O(n). For surface registration problem, one commonly used approach is to use conformal map to convert the shapes into some canonical space. Although conformal mappings have small angle distortions, they may introduce large area distortions which are likely to cause numerical instability thus resulting failures of shape analysis. This work proposes to compose the
No keywords uploaded!
[ Download ] [ 2019-12-24 20:57:56 uploaded by Feng_Luo ] [ 128 downloads ] [ 0 comments ]
@inproceedings{zhengyu2015optimal,
  title={Optimal mass transport for shape matching and comparison},
  author={Zhengyu Su, Yalin Wang, Rui Shi, Wei Zeng, Jian Sun, Feng Luo, and Xianfeng Gu},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205756384976345},
  booktitle={IEEE transactions on pattern analysis and machine intelligence},
  volume={37},
  number={11},
  pages={2246-2259},
  year={2015},
}
Zhengyu Su, Yalin Wang, Rui Shi, Wei Zeng, Jian Sun, Feng Luo, and Xianfeng Gu. Optimal mass transport for shape matching and comparison. 2015. Vol. 37. In IEEE transactions on pattern analysis and machine intelligence. pp.2246-2259. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205756384976345.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved