CASIA OpenIR  > 智能感知与计算研究中心
Exploring generalized shape analysis by topological representations
Zhou, Zhen; Huang, Yongzhen; Wang, Liang; Tan, Tieniu
AbstractOne of the most common properties of various data in pattern recognition is the shape, and the shape matters. However, the shape can appear with uncertain appearances, e.g., the shapes of a person in different poses. We realize that the most fundamental feature of any shape is the number of connected components, the number of holes and its higher dimensional counterparts. These are what we call topological invariants. This is the place where topology comes into play for pattern recognition. Persistent homology, one of the most powerful tools in algebraic topology, is proposed to compute these topological invariants at different resolutions. The proposed method, by firstly transferring the given data into a topological graph representation, i.e., the simplicial complex, can assemble discrete points into a global structure. Then by integrating with multiple filtrations and metric learning, both the global structure and different local parts can be taken into account at the same time. We test the proposed method in 21) shape classification, 2.5D gait identification and 3D facial expression recognition. Experimental results demonstrate the effectiveness of this generalized shape analysis method and show its potentials in different applications. Moreover, we provide a new insight for the generalized shape analysis. (C) 2016 Elsevier B.V. All rights reserved.
KeywordTopology Persistent Homology Shape Analysis Gait Recognition 3d Facial Expression Recognition
WOS HeadingsScience & Technology ; Technology
Indexed BySCI ; ISTP
Funding OrganizationNational Basic Research Program of China(2012C6316300) ; National Natural Science Foundation of China(61135002) ; State Key Laboratory of Mathematical Engineering and Advanced Computing(2015A06)
WOS Research AreaComputer Science
WOS SubjectComputer Science, Artificial Intelligence
WOS IDWOS:000395616700022
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
AffiliationChinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Ctr Res Intelligent Percept & Comp, 95 Zhongguancun East Rd, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Zhou, Zhen,Huang, Yongzhen,Wang, Liang,et al. Exploring generalized shape analysis by topological representations[J]. PATTERN RECOGNITION LETTERS,2017,87(87):177-185.
APA Zhou, Zhen,Huang, Yongzhen,Wang, Liang,&Tan, Tieniu.(2017).Exploring generalized shape analysis by topological representations.PATTERN RECOGNITION LETTERS,87(87),177-185.
MLA Zhou, Zhen,et al."Exploring generalized shape analysis by topological representations".PATTERN RECOGNITION LETTERS 87.87(2017):177-185.
Files in This Item: Download All
File Name/Size DocType Version Access License
论文 Exploring General(2603KB)期刊论文作者接受稿开放获取CC BY-NC-SAView Download
Related Services
Recommend this item
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Zhou, Zhen]'s Articles
[Huang, Yongzhen]'s Articles
[Wang, Liang]'s Articles
Baidu academic
Similar articles in Baidu academic
[Zhou, Zhen]'s Articles
[Huang, Yongzhen]'s Articles
[Wang, Liang]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Zhou, Zhen]'s Articles
[Huang, Yongzhen]'s Articles
[Wang, Liang]'s Articles
Terms of Use
No data!
Social Bookmark/Share
File name: 论文 Exploring Generalized Shape Analysis by Topological Representations.pdf
Format: Adobe PDF
All comments (0)
No comment.

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.