%0 Journal Article %T 基于函数值的有理插值曲面及其约束控制<br>RATIONAL INTERPOLATION PATCHES BASED ON FUNCTION VALUE AND CONSTRAINED CONTROL %A 作者 %A 刘植 %A 肖凯 %A 江平 %A 谢进 %J 数学杂志 %D 2018 %X 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.<br>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 %K 有理插值曲面 形状参数 权因子 基函数 约束形状控制< %K br> %K rational interpolation surface shape parameters weighting factor basis function constrained shape control %U http://sxzz.whu.edu.cn/sxzz/ch/reader/view_abstract.aspx?file_no=20180318&flag=1