Exploring generalized shape analysis by topological representations | |
Zhou, Zhen; Huang, Yongzhen; Wang, Liang; Tan, Tieniu | |
发表期刊 | PATTERN RECOGNITION LETTERS |
2017-02-01 | |
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 |
DOI | 10.1016/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 |
引用统计 | |
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 |
第一作者单位 | 模式识别国家重点实验室 |
推荐引用方式 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. |
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