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	Mathematical symbols and computing methods in high dimensional biomimetic informatics and their applications
	Wang Shoujue; Liu Xingxing
刊名	Chinese journal of electronics
	2008
卷号	17期号:1页码:1-7
关键词	High dimensional biomimetic informatics Biomimetic pattern recognition Pattern recognition Blurred image restoration Uneven lighting image correction
ISSN号	1022-4653
通讯作者	Wang shoujue()
英文摘要	High dimensional biomimetic informatics (hdbi) is a novel theory of informatics developed in recent years. its primary object of research is points in high dimensional euclidean space, and its exploratory and resolving procedures are based on simple geometric computations. however, the mathematical descriptions and computing of geometric objects are inconvenient because of the characters of geometry. with the increase of the dimension and the multiformity of geometric objects, these descriptions are more complicated and prolix especially in high dimensional space. in this paper, we give some definitions and mathematical symbols, and discuss some symbolic computing methods in high dimensional space systematically from the viewpoint of hdbi. with these methods, some multi-variables problems in high dimensional space can be solved easily. three detailed algorithms are presented as examples to show the efficiency of our symbolic computing methods: the algorithm for judging the center of a circle given three points on this circle, the algorithm for judging whether two points are on the same side of a hyperplane, and the algorithm for judging whether a point is in a simplex constructed by points in high dimensional space. two experiments in blurred image restoration and uneven lighting image correction are presented for all these algorithms to show their good behaviors.
WOS关键词	GEOMETRY
WOS研究方向	Engineering
WOS类目	Engineering, Electrical & Electronic
语种	英语
出版者	TECHNOLOGY EXCHANGE LIMITED HONG KONG
WOS记录号	WOS:000254021300001
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2427356
专题	半导体研究所
通讯作者	Wang Shoujue
作者单位	Chinese Acad Sci, Inst Semicond, Lab Artificial Neural Networks, Beijing 100083, Peoples R China
推荐引用方式 GB/T 7714	Wang Shoujue,Liu Xingxing. Mathematical symbols and computing methods in high dimensional biomimetic informatics and their applications[J]. Chinese journal of electronics,2008,17(1):1-7.
APA	Wang Shoujue,&Liu Xingxing.(2008).Mathematical symbols and computing methods in high dimensional biomimetic informatics and their applications.Chinese journal of electronics,17(1),1-7.
MLA	Wang Shoujue,et al."Mathematical symbols and computing methods in high dimensional biomimetic informatics and their applications".Chinese journal of electronics 17.1(2008):1-7.

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