裁剪 NURBS 曲面面积计算的扫描分片积分法

COMPUTATION OF AREA OF TRIMMED NURBS SURFACE

本文设计了一种计算裁剪ＮＵＲＢＳ曲面面积的扫描分片高斯积分法。该方法无需求出曲面的法矢模长函数，而只需通过一阶偏导矢计算某些点处的法矢模长。该算法速度快，误差容易识别和控制。已应用于自主开发的超人ＣＡＤ／ＣＡＭ系统，效果良好。

An Algorithm is developed to calculate the area of trimmed NURBS Surface by means of “decomposed Gauss integration”. The approach ,whose tolerance is easy to be controlled, proves to be fast in calculating. The algorithm has been applied in the SuperMan CAD/CAM system and the results are satisfactory.