Fast and efficient calculations of structural invariants of chirality

doi:10.1016/j.patrec.2019.09.010

	Fast and efficient calculations of structural invariants of chirality
	Zhang, He 1,2; Mo, Hanlin 1,2; Hao, You 1,2; Li, Qi 1,2; Li, Shirui 1,2; Li, Hua 1,2
	2019-12-01
发表期刊	PATTERN RECOGNITION LETTERS
ISSN	0167-8655
卷号	128 页码:270-277
摘要	Chirality describes the structural properties or configuration of an object, and it plays an important role in fields such as physics, chemistry and biology. It is critical to identify achiral objects and determine symmetry plane of them in shape analysis, and chiral invariants play essential role in above tasks. However, chiral invariants are often complex and time-consuming to calculate in practical applications. In this paper, we present five chiral invariants based on the concept of generating functions. Three of the five chiral invariants decode the expression of a chiral index, and they are the core part of this chiral index. In addition, this paper provides three new chiral invariants. These five chiral invariants have three characteristics: (1) Their results on the shape before and after the reflection transformation are opposite to each other. (2) The five chiral invariants have brief form and low time complexity (0(n)), the order and degree of them are not more than four. (3) They can be used to determine the global symmetry plane of reflection symmetry objects, and they help to deal with false zeros problem. The five chiral invariants give the invariants under reflection transformation from the geometrical point of view, and the experimental results show that they are effective and efficient. In conclusion, our invariants can be used for determining archiral objects and mutual symmetry shape, as well as for determining symmetry plane of reflection symmetry objects. (C) 2019 Elsevier B.V. All rights reserved.
关键词	Chirality Invariant Moment Symmetry detection Shape analysis
DOI	10.1016/j.patrec.2019.09.010
收录类别	SCI
语种	英语
资助项目	National Key R&D Program of China[2017YFB1002703] ; National Key Basic Research Planning Project of China[2015CB554507] ; National Natural Science Foundation of China[61227802] ; National Natural Science Foundation of China[61379082]
WOS研究方向	Computer Science
WOS类目	Computer Science, Artificial Intelligence
WOS记录号	WOS:000498398400039
出版者	ELSEVIER
引用统计	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://119.78.100.204/handle/2XEOYT63/14943
专题	中国科学院计算技术研究所期刊论文_英文
通讯作者	Zhang, He
作者单位	1.Chinese Acad Sci, Inst Comp Technol, Key Lab Intelligent Informat Proc, Beijing, Peoples R China 2.Univ Chinese Acad Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Zhang, He,Mo, Hanlin,Hao, You,et al. Fast and efficient calculations of structural invariants of chirality[J]. PATTERN RECOGNITION LETTERS,2019,128:270-277.
APA	Zhang, He,Mo, Hanlin,Hao, You,Li, Qi,Li, Shirui,&Li, Hua.(2019).Fast and efficient calculations of structural invariants of chirality.PATTERN RECOGNITION LETTERS,128,270-277.
MLA	Zhang, He,et al."Fast and efficient calculations of structural invariants of chirality".PATTERN RECOGNITION LETTERS 128(2019):270-277.