| 摘要: |
| 利用B-网坐标方法,讨论Wang加密三角剖分△W上二元三次样条空间S31(△W)的Hermite插值,证明了插值的适定性,并给出S31(△W)上具有局部支集的基函数. |
| 关键词: 加密三角剖分 二元三次样条函数 Hermite插值 局部基 |
| DOI： |
| 投稿时间：2008-01-27 |
| 基金项目:广西自然科学基金(批准号:0575029);广西民族大学研究生教育创新项目(gxun-chx0747)资助 |
|
| Hermite Interpolation on Bivariate Cubic Spline Space S31 (△W) |
|
LU Wei-ping1,2, LIU Huan-wen1,2
|
(1. Guangxi Economic Management Cadre College, Nanning, Guangxi, 530007, China;2.
2. College of Mathematics and Computer Science, Guangxi University for Nationalities, Nanning, Guangxi, 530006, China) |
| Abstract: |
| By using technique of Bézier-method, Hermite interpolation schemes are constructed based on cubic splines on Wang's refined triangulations. The existence and the uniqueness of the interpolation are discussed. The interpolant has local support and explicit representation. |
| Key words: refined triangulation bivariate cubic spline Hermite interpolation local basis |
