Abstract: A new estimation method of triangular mesh vertex normal vector is present, which chooses the shape and the gravity as the weight of each triangle?patches normal in the first order neighbor triangle of the vertex. Thus, in the same triangular mesh surface, when the precision of triangle mesh increases, the vertex normal vector estimation increases; in the same precision of triangular mesh, when the mean curvature and mean curvature variation of triangular mesh model decreases, the vertex normal vector estimation also increases. The examples and error analyses show that the method of calculation result is more accurate and reasonable.

Key words: Computer Aided Design/Computer Aided Manufacturing（CAD/CAM）, triangular mesh, vertex normal vector estimation

摘要： 提出一种新的三角网格模型顶点法矢估算方法，采用以三角网格顶点一阶邻域三角形的形状因子与顶点到三角形质心距进行综合加权的方法。同时指出：在同等三角网格曲面，随着三角网格划分精度的提升，网格顶点法矢估算精度有增大趋势；在同等网格划分精度条件下，对于平均曲率小以及平均曲率变化率小的三角网格模型，其网格顶点法矢估算精度也有增大趋势。实例计算和误差分析表明，该方法的计算结果更为精确合理。

关键词: 电脑辅助设计与电脑辅助制造（CAD/CAM）, 三角网格模型, 顶点法矢估算