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Exploring generalized shape analysis by topological representations
Zhou, Zhen; Huang, Yongzhen; Wang, Liang; Tan, Tieniu
2017-02-01
发表期刊PATTERN RECOGNITION LETTERS
卷号87期号:87页码:177-185
文章类型Article
摘要One 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.
关键词Topology Persistent Homology Shape Analysis Gait Recognition 3d Facial Expression Recognition
WOS标题词Science & Technology ; Technology
DOI10.1016/j.patrec.2016.04.002
关键词[WOS]PERSISTENT HOMOLOGY ; GAIT RECOGNITION ; CLASSIFICATION
收录类别SCI ; ISTP
语种英语
项目资助者National Basic Research Program of China(2012C6316300) ; National Natural Science Foundation of China(61135002) ; State Key Laboratory of Mathematical Engineering and Advanced Computing(2015A06)
WOS研究方向Computer Science
WOS类目Computer Science, Artificial Intelligence
WOS记录号WOS:000395616700022
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被引频次:1[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.ia.ac.cn/handle/173211/14428
专题智能感知与计算研究中心
作者单位Chinese Acad Sci, Inst Automat, Natl Lab Pattern Recognit, Ctr Res Intelligent Percept & Comp, 95 Zhongguancun East Rd, Beijing 100190, Peoples R China
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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.
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