| 引用本文: | 方逵,刘杰.任意三角域上的光滑插值法.[J].国防科技大学学报,1993,15(2):77-83.[点击复制] |
| Fang Kui,Liu Jie.Smooth Interpolation Over Arbitrary Triangles[J].Journal of National University of Defense Technology,1993,15(2):77-83[点击复制] |
|
| |
|
|
| 本文已被：浏览 6308次 下载 5409次 |
| 任意三角域上的光滑插值法 |
| 方逵, 刘杰 |
|
(系统工程与应用数学系)
|
| 摘要: |
| 本文讨论了三角域和多边形域上的光滑函数在边界的法向导数和沿边界的方向导数的关系，得到了三角域和多边形域上C1(C2)插值的简化判别条件。提出了三角域上的一种C2插值方法。最后，我们给出了误差估计和计算实例。 |
| 关键词: 几何，方向导数，曲面插值 |
| DOI： |
| 投稿日期：1992-03-20 |
| 基金项目: |
|
| Smooth Interpolation Over Arbitrary Triangles |
| Fang Kui, Liu Jie |
|
(Department of System Engineering and Applied Mathematics)
|
| Abstract: |
| In part one of this paper，we discussed the relation between directional and normal derivatives of smooth functions on boundary of triangle or polygon. Therefore a simplified criteria is obtained for C1(C2) interpolating in triangles or polygons. In part two，a method is presented for constructing C2 interpolating functions in arbitrary triangles. Finally，the error of interpolating function is estimated，and a numerical example is given. |
| Keywords: yeometry,directional derivative,surface interpolation |
|
|
