Solving spatial basic geometric constraint configurations with locus intersection

doi:10.1016/S0010-4485(03)00056-3

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	Solving spatial basic geometric constraint configurations with locus intersection
	Gao, XS; Hoffmann, CM ; Yang, WQ
	2004-02-01
发表期刊	COMPUTER-AIDED DESIGN
ISSN	0010-4485
卷号	36 期号:2 页码:111-122
摘要	A basic idea of geometric constraint solving (GCS) is to decompose the constraint problem into smaller ones according to some basic configurations. In this paper, we find all spatial basic configurations involving points, lines, and planes containing up to six geometric primitives in an automated way. Many of these basic configurations still resist effective analytical solutions. We propose the locus intersection method (LIM) for GCS, a hybrid method based on geometric computation and numerical search that can be used to find all the solutions for a geometric constraint problem. We show that the LIM can be used to solve all the above basic configurations. (C) 2004 Elsevier Ltd. All rights reserved.
关键词	geometric constraint solving parametric CAD spatial basic configuration locus intersection
DOI	10.1016/S0010-4485(03)00056-3
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Software Engineering
WOS记录号	WOS:000187729700003
出版者	ELSEVIER SCI LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/19242
专题	系统科学研究所
通讯作者	Hoffmann, CM
作者单位	1.Purdue Univ, Dept Comp Sci, W Lafayette, IN 47907 USA 2.Acad Sinica, AMSS, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, XS,Hoffmann, CM,Yang, WQ. Solving spatial basic geometric constraint configurations with locus intersection[J]. COMPUTER-AIDED DESIGN,2004,36(2):111-122.
APA	Gao, XS,Hoffmann, CM,&Yang, WQ.(2004).Solving spatial basic geometric constraint configurations with locus intersection.COMPUTER-AIDED DESIGN,36(2),111-122.
MLA	Gao, XS,et al."Solving spatial basic geometric constraint configurations with locus intersection".COMPUTER-AIDED DESIGN 36.2(2004):111-122.