Automated generation of Kempe linkages for algebraic curves and surfaces

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	Automated generation of Kempe linkages for algebraic curves and surfaces
	Gao, XS ; Zhu, CC ; Chou, SC ; Ge, JX
	2001-09-01
发表期刊	MECHANISM AND MACHINE THEORY
ISSN	0094-114X
卷号	36 期号:9 页码:1019-1033
摘要	The well-known Peaucellier linkage converts a circular motion into a linear motion. A more shocking result by Kempe [Proc. LMS (1876) 213] shows that any plane algebraic curve can be delineated by a linkage. In this paper, we improve Kempe's result to give a precise algorithm for generating the Kempe linkage. We prove that for an algebraic plane curve of degree n, the corresponding Kempe linkage uses at most O(n(4)) links. We extend Kempe's result to the 3D case: any algebraic surface can be delineated by a 3D linkage. We implement a program which can construct the Kempe linkage and animate the drawing process for a given plane curve. (C) 2001 Elsevier Science Ltd. All rights reserved.
关键词	CAD linkage synthesis Peaucellier linkage Kempe linkage algebraic curves and surfaces animation complexity
语种	英语
WOS研究方向	Engineering
WOS类目	Engineering, Mechanical
WOS记录号	WOS:000171080000002
出版者	PERGAMON-ELSEVIER SCIENCE 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/16572
专题	中国科学院数学与系统科学研究院
通讯作者	Chou, SC
作者单位	1.Wichita State Univ, Dept Comp Sci, Wichita, KS 67260 USA 2.Acad Sinica, Inst Syst Sci, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Gao, XS,Zhu, CC,Chou, SC,et al. Automated generation of Kempe linkages for algebraic curves and surfaces[J]. MECHANISM AND MACHINE THEORY,2001,36(9):1019-1033.
APA	Gao, XS,Zhu, CC,Chou, SC,&Ge, JX.(2001).Automated generation of Kempe linkages for algebraic curves and surfaces.MECHANISM AND MACHINE THEORY,36(9),1019-1033.
MLA	Gao, XS,et al."Automated generation of Kempe linkages for algebraic curves and surfaces".MECHANISM AND MACHINE THEORY 36.9(2001):1019-1033.