Geometric constraint solving with conics and linkages

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	Geometric constraint solving with conics and linkages
	Gao, XS; Jiang, K; Zhu, CC
	2002-05-01
发表期刊	COMPUTER-AIDED DESIGN
ISSN	0010-4485
卷号	34 期号:6 页码:421-433
摘要	Most geometric construction methods of geometric constraint solving systems use line and circle (rule and compass) as basic drawing tools. In this paper, by introducing conics and linkages, we provide a set of complete drawing tools for the construction approach of geometric constraint solving. Using these tools, we may enlarge the drawing scope of the construction approach and still keep the elegant style of geometric solutions to geometric constraint solving. As applications, we obtain pure geometric solutions to three sets of well-known constraint problems: the 10 Apollonian drawing problems, the 13 cases of a smallest tri-connected constraint graph, and constraint problems with distance constraints only. (C) 2002 Elsevier Science Ltd. All rights reserved.
关键词	geometric constraint solving parametric CAD construction methods conics linkages Apollonian drawing problems tri-connected constraint graph
语种	英语
WOS研究方向	Computer Science
WOS类目	Computer Science, Software Engineering
WOS记录号	WOS:000174723400001
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/17400
专题	系统科学研究所
通讯作者	Gao, XS
作者单位	Acad Sinica, AMSS, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, XS,Jiang, K,Zhu, CC. Geometric constraint solving with conics and linkages[J]. COMPUTER-AIDED DESIGN,2002,34(6):421-433.
APA	Gao, XS,Jiang, K,&Zhu, CC.(2002).Geometric constraint solving with conics and linkages.COMPUTER-AIDED DESIGN,34(6),421-433.
MLA	Gao, XS,et al."Geometric constraint solving with conics and linkages".COMPUTER-AIDED DESIGN 34.6(2002):421-433.