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Regular algebraic curve segments (I) - Definitions and characteristics

文献类型:期刊论文

作者Xu, GL; Bajaj, CL; Xue, WM
刊名COMPUTER AIDED GEOMETRIC DESIGN
出版日期2000-07-01
卷号17期号:6页码:485-501
关键词algebraic curve discriminating family D-regular BB-form
ISSN号0167-8396
英文摘要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.
WOS研究方向Computer Science ; Mathematics
语种英语
WOS记录号WOS:000087428800002
出版者ELSEVIER SCIENCE BV
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/14921]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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