基于广义逆的张量积Said-Ball曲面降多阶逼近  

Method of approximating tensor product Said-Ball surfaces through multi-degree reduction

作　　者：张莉[1] 唐烁[1] 陈国琪[1] 

机构地区：[1]合肥工业大学理学院,安徽合肥230009

出　　处：《合肥工业大学学报（自然科学版）》2005年第2期216-219,共4页Journal of Hefei University of Technology：Natural Science

摘　　要：文章给出张量积 Said-Ball曲面降多阶逼近的一种方法 ,即将曲面的降多阶过程视为升阶的逆过程 ,利用广义逆矩阵的理论得到降阶曲面控制顶点的显式表示式 ,从而得到了用矩阵表示的降多阶张量积 Said-Ball曲面的控制顶点的显式表示式。在降多阶过程中 ,分别考虑了带角点高阶插值条件和不带角点插值条件的情形 。This paper deals with a new method of approximating tensor product Said-Ball surfaces through multi-degree reduction. The process of degree reduction is regarded as the opposite process of elevation,then the theory of generalized inverse matrix is used to get the explicit representation of control points of the reduced multi-degree tensor product Said-Ball surface. During the multi-degree reduction process,two cases are considered— one is with the constraint of high-order interpolations over corners and the other is without any constraint. Numerical examples are also given.

关 键 词：张量积Said—Ball曲面 降多阶 角点插值 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]