双三次NURBS曲面生成与分解

推导出了一套便于微机实现的双三次ＮＵＲＢＳ（非均匀有理Ｂ样条）曲面的生成算法，在此基础上，提出了由一张ＮＵＲＢＳ曲面分解成多张ＮＵＲＢＳ子曲面的方法，并使得对整张曲面的造型修改可通过对各子曲面的造型修改来实现．解决了因内存资源有限而难以在微机上进行大曲面或复杂曲面（多控制顶点）的动态造型设计这一难题．

Generating and Decomposing of Bicubic NURBS Surface

This paper explores a generating method of NURBS(Non-Uniform Rational B-Spline) Surfaces and puts forward a fast algorithm. Based on this algorithm, the paper presents a method to decompose a NURBS sutfsce into several sub NURBS surf sces. With this method, the modelling of the original surface can be done by means of the modelling of all these sub surfaces. It can overcome the deficiency of the small conventional memory of microcomputers and thus enables the engineering designers to use microcomputers to desien complex and large surf sces(surfaces with great many numbers of control points). Considering the great popularity of microcomputers and the wide application of surface modlling, this decomposing method is both practical and useful.