非均匀有理B样条自由曲面的光顺检测

提出了一种针对非均匀有理Ｂ样条（ＮＵＲＢＳ）自由曲面的高斯曲率等值线的光顺检测方法，重点解决绘制高斯曲率等值线出现的极值点的重复搜索问题，并将改进的Ｂｕｌｉｒｓｃｈ－Ｓｔｏｅｒ等值线搜索法用于极值搜索中，提高了搜索效率。

Fairness Detecting of NURBS Surface

This paper proposes a fairness detecting method of contours of Gauss curvature in allusion to non uniform rational B Spline (NURBS) free form surface. Emphases are put on solving the problem of repeating searching extreme points in contours of Gauss curvature drawing,and the improved Bulirsch Stoer contour curve searching method is used in extreme points searching to speed up the searching efficiency. In fairness detecting of NURBS free form surface, this method can rapidly obtain the contour of Gauss curvature distribution pattern of whole surface completely, whereby adjusting the fairness of surface, and implementing optimization of cutter step and step distance according to machining precision in NC machining.