用PDE构造三角网格上的插值曲面

USING PDE TO CONSTRUCT INTERPOLATION SURFACE OVER TRIANGULAR MESH

提出用PDE（即偏微分方程）构造三角网格上C1连续播值曲面的方法，给出了每个三角形上三角曲面边界条件的确定方法和偏微分方程在给定边界条件下与正三角形域对应的19点差分格式．

The paper presents a method of constructing interpolation Surface over triangular mesh with PDE and a tnethod of determining boundary conditions of patches over triangles. It also puts forward a 19 points difference representation of PDE under boundary conditions on equilateral triangular grid.