Approximate Minimum Homology Basis for 3D Image and Its Application in Medical Image Segmentation

Author:

Huang Jisui1,Lei Na2,Chen Ke3,Ren Yuxue4,Wang Zhenchang5,Shang Yuanyuan1

Affiliation:

1. Capital Normal University,Beijing Advanced Innovation Center,Beijing,China

2. Dalian University of Technology,Key Laboratory for Ubiquitous Network,Dalian,China

3. The University of Liverpool,Department of Mathematical Sciences,Liverpool,United Kingdom

4. Capital Normal University,Academy for Multidisciplinary Studies,Beijing,China

5. Capital Medical University,Beijing Friendship Hospital,Beijing,China

Funder

National Natural Science Foundation of China

Publisher

IEEE

Reference14 articles.

1. Powers of tensors and fast matrix multiplication

2. Greedy optimal homotopy and homology generators;Erickson;SODA,2005

3. Minimum cycle and homology bases of surface embedded graphs;Borradaile;arXiv preprint arXiv:1607.05112,2016

4. Approximating loops in a shortest homology basis from point data

5. Measuring and computing natural generators for homology groups

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