任意三角域上的光滑插值

Smooth Interpolation in Arbitrary Triangles

文中描述了任意三角域上插值逼近的两种方法,一种是布尔和插值,一种是凸组合插值,其特点是结构简单,易于计算。文中证明了三角网格区域上的整个插值曲面是c^1连续的,并指出离散化的插值曲面函数是空间散乱数据的一种光滑插值算法。

In this paper two interpolating approximation schemes in arbitrary triang-les are described: one is Boolean sum, the other is convex combination.These interpolated surfaces are simple to construct and easy to calculate. It isshown that the whole interpolated surface in trianglular domain is C continuousFinally, it is pointed out that the discretization interpolating surface is aC^1 interpolating surface for scattered 3D data.