SYMBOLIC VERSOR COMPRESSION ALGORITHM

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	SYMBOLIC VERSOR COMPRESSION ALGORITHM
	Li Hongbo
	2009-07-01
发表期刊	ACTA MATHEMATICA SCIENTIA
ISSN	0252-9602
卷号	29 期号:4 页码:991-1004
摘要	In an inner-product space, an invertible vector generates a reflection with respect to a hyperplane, and the Clifford product of several invertible vectors, called a versor in Clifford algebra, generates the composition of the corresponding reflections, which is an orthogonal transformation. Given a versor in a Clifford algebra, finding another sequence of invertible vectors of strictly shorter length but whose Clifford product still equals the input versor, is called versor compression. Geometrically, versor compression is equivalent to decomposing an orthogonal transformation into a shorter sequence of reflections. This paper proposes a simple algorithm of compressing versors of symbolic form in Clifford algebra. The algorithm is based on computing the intersections of lines with planes in the corresponding Grassmann-Cayley algebra, and is complete in the case of Euclidean or Minkowski inner-product space.
关键词	Clifford algebra orthogonal transformation symbolic computation Grassmann-Cayley algebra versor compression
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000272545200014
出版者	ELSEVIER SCIENCE INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8505
专题	系统科学研究所
通讯作者	Li Hongbo
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Li Hongbo. SYMBOLIC VERSOR COMPRESSION ALGORITHM[J]. ACTA MATHEMATICA SCIENTIA,2009,29(4):991-1004.
APA	Li Hongbo.(2009).SYMBOLIC VERSOR COMPRESSION ALGORITHM.ACTA MATHEMATICA SCIENTIA,29(4),991-1004.
MLA	Li Hongbo."SYMBOLIC VERSOR COMPRESSION ALGORITHM".ACTA MATHEMATICA SCIENTIA 29.4(2009):991-1004.