Regular algebraic curve segments (I) - Definitions and characteristics
Xu, GL; Bajaj, CL; Xue, WM
AbstractIn 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.
Keywordalgebraic curve discriminating family D-regular BB-form
WOS Research AreaComputer Science ; Mathematics
WOS SubjectComputer Science, Software Engineering ; Mathematics, Applied
WOS IDWOS:000087428800002
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Cited Times:10[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Affiliation1.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
Recommended Citation
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.
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