Title :
Dimensions of Bivariate Sextic C^2 Spline Spaces over Generalized Type-II Triangulations
Author :
Liu, Huan-Wen ; Xiong, Juxia
Author_Institution :
Fac. of Math. & Comput. Sci., Guangxi Univ. for Nat., Nanning, China
Abstract :
It is well-known that, the algebraic structure of bivariate spline spaces over arbitrary regular triangulations is an extremely complicated problem. Therefore, people turned to study bivariate spline spaces over some special triangulations. In this paper, by using the Bezier-net method and the technique of minimal determining sets,the dimension of bivariate sextic C2 spline space over a kind of generalized type-II triangulations is studied.
Keywords :
polynomial approximation; splines (mathematics); Bezier-net method; algebraic structure; arbitrary regular triangulations; bivariate sextic C2 spline space; generalized type-II triangulations; minimal determining sets technique; Computer science; Function approximation; Mathematics; Polynomials; Research and development; Spline; Virtual manufacturing; B-net method; dimension; minimal determining sets; spline spaces;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.363
