一个求非均匀有理B－样条曲线曲面交点（线）的算法  

The Method for Finding the Intersection between Two NURB Curves and Surfaces

作　　者：李宗民[1] 许有信[1] 白成钢 

机构地区：[1]石油大学(华东)计算机系,南京航空航天大学

出　　处：《计算机辅助工程》1996年第4期39-44,共6页Computer Aided Engineering

摘　　要：本文论述了非均匀有理Ｂ－样条曲线曲面的求交方法，在４维空间里，由非均匀有理Ｂ－样条曲线（面）分割成有理Ｂｅｚｉｅｒ样条曲线（面），进而用离散求交法求出其交点（线）．An algorithm is presented for finding the intersection point(or line)between two non-uniform rational B-spline curves(or surfaces). In 4-D homogeneous space, the non-uniform rational B-spline curves(or surfaces) are divided into the rational Bezier curves(or surfaces), and the intersections are found with subdivision methods.

关 键 词：B-样条曲线 B-样条曲面 交点 算法 CAD CAM 

分 类 号：TP391.7[自动化与计算机技术—计算机应用技术]