| 摘要: |
| 在三角形域上构造对边界曲线和跨界导数插值的三角曲面是计算机辅助几何设计和计算机图形学等领域中的基本问题.此类问题称为三角形域上的超限插值问题.对现有三角形域上的超限插值方法进行了综述,并对现有三角形域上的超限插值方法以具体实例进行了比较.最后讨论了现有三角形域上的超限插值方法中有待进一步解决的问题. |
| 关键词: 三角曲面片 超限插值 多项式 布尔和 曲面参数化 |
| DOI： |
| 分类号: |
| 基金项目: |
|
| Infinite Interpolation on Triangles |
|
XU Lin
|
| Abstract: |
| Constructing triangle surface which interpolates the boundary curve and cross-boundary slopes on a triangle is the basic problem in computer aided geometric design, computer graphics and so on. This problem is called infinite interpolation on triangle. In this paper, a survey on the existing methods of constructing infinite interpolation surfaces on triangles is given, and a comparison is made between the methods by using examples. The open problems in the existing methods of infinite interpolation on triangles are discussed. |
| Key words: triangular patch infinite interpolation polynomial Boolean sum surface parametrization |
