计算机辅助网格局部调整

Local Adjustment of Triangular Meshes Cut by a Line

某给定区域的三角形网格被一给定直线切割后， 舍去直线一侧的网格而保留直线另一侧的网格， 有的三角形网格被切割成非三角形网格， 因此必须对保留的部分在靠近直线附近作局部调整。本文首次给出了三角形网格被直线切割后各种几何特征， 并针对每种几何特征给出处理办法。编制了计算机辅助网格局部调整程序， 数值例子证明本算法是可靠实用的。

When meshes in a region are cut by a given line, the meshes on one side of the line are deleted and the meshes on the other side of the line are retained, some triangular meshes are cut to be non-triangular meshes, the retained meshes near the line must be adjusted.For the first time, all geometric characteric for the triangular meshes cut by a line are given. Algorithms of computer aided meshes local adjustment are given, numerical examples are given to test the reliability and validity of the program.