A bivariate C 1 cubic super spline is constructed on Powell-Sabin type-1 split with the additional smoothness at vertices in the original triangulation being C 2 , which permits the Hermite interpolation up to the second order partial derivatives exactly on all the vertices in the original triangula
Spaces of bivariate cubic and quartic splines on type-1 triangulations
β Scribed by Charles K. Chui; Ren-Hong Wang
- Publisher
- Elsevier Science
- Year
- 1984
- Tongue
- English
- Weight
- 629 KB
- Volume
- 101
- Category
- Article
- ISSN
- 0022-247X
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In this paper, we discuss the algebraic structure of blvariate C 1 cubic sphne spaces over nonuniform type-2 triangulation and its subspaces with boundary conditions. The dimensions of these spaces are determined and their local support bases are constructed. (~ 2005 Elsevmr Ltd All rights reserved.
The structure of bivariate spline space over arbitrary triangulation is complicated because the dimension of a multivariate spline space depends not only on the topological property of the triangulation but also on its geometric property. A new vertex coding method to a triangulation is introduced i