Regular algebraic curve segments (I) - Definitions and characteristics

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	Regular algebraic curve segments (I) - Definitions and characteristics
	Xu, GL ; Bajaj, CL ; Xue, WM
	2000-07-01
发表期刊	COMPUTER AIDED GEOMETRIC DESIGN
ISSN	0167-8396
卷号	17 期号:6 页码:485-501
摘要	In this paper (part one of a trilogy), we introduce the concept of a discriminating family of regular algebraic curves (real, nonsingular and connected). Several discriminating families are obtained which yield different characterizations of the Bernstein-Bezier (BB) bivariate polynomials over the plane triangle and the quadrilateral domain such that their zero contours are smooth and connected. These regular curve segments in BB basis can be smoothly joined together to form algebraic curve splines or A-splines. Algorithms for the efficient graphics display of these new A-spline families are also provided. (C) 2000 Elsevier Science B.V. All rights reserved.
关键词	algebraic curve discriminating family D-regular BB-form
语种	英语
WOS研究方向	Computer Science ; Mathematics
WOS类目	Computer Science, Software Engineering ; Mathematics, Applied
WOS记录号	WOS:000087428800002
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14922
专题	中国科学院数学与系统科学研究院
通讯作者	Bajaj, CL
作者单位	1.Univ Texas, Dept Comp Sci, Austin, TX 78712 USA 2.Chinese Acad Sci, ICMSEC, State Key Lab Sci & Engn Comp, Beijing, Peoples R China 3.Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Xu, GL,Bajaj, CL,Xue, WM. Regular algebraic curve segments (I) - Definitions and characteristics[J]. COMPUTER AIDED GEOMETRIC DESIGN,2000,17(6):485-501.
APA	Xu, GL,Bajaj, CL,&Xue, WM.(2000).Regular algebraic curve segments (I) - Definitions and characteristics.COMPUTER AIDED GEOMETRIC DESIGN,17(6),485-501.
MLA	Xu, GL,et al."Regular algebraic curve segments (I) - Definitions and characteristics".COMPUTER AIDED GEOMETRIC DESIGN 17.6(2000):485-501.