基于函数值的有理插值曲面及其约束控制
RATIONAL INTERPOLATION PATCHES BASED ON FUNCTION VALUE AND CONSTRAINED CONTROL

本文研究了一类加权有理插值曲面的约束控制问题.利用加权组合的方法，得到一类新的形状可调的二元有理插值曲面，推广了NURBS方法在曲面插值中的理论结果.
In this paper, we study the constrained control of a weighted rational interpolation patch. By using the method of weighted combination, we obtain a new class of bivariate rational interpolation surfaces which the shape can be adjustable, which generalize the theoretical results of the NURBS methods in surface interpolation