A bivariate rational interpolation and the properties

被引：28

作者：

Duan, Qi ^{[1
]}

Zhang, Yunfeng

Twizell, E. H.

机构：

[1] Shandong Univ, Sch Math & Syst Sci, Jinan 250100, Peoples R China

[2] Brunel Univ, Sch Informat Syst Comp & Math, Uxbridge UB8 3PH, Middx, England

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2006年 / 179卷 / 01期

基金：

高等学校博士学科点专项科研基金;

关键词：

bivariate interpolation; rational spline; computer-aided geometric design; CUBIC SPLINE; SURFACES; NURBS;

D O I：

10.1016/j.amc.2005.11.094

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a bivariate rational interpolation is constructed using both function values and partial derivatives of the function being interpolated as the interpolation data. The interpolation function has a simple and explicit rational mathematical representation with parameters, and it can be expressed by the symmetric bases. It is proved that the interpolation is stable. The concept of integral weights coefficients of the interpolation is given, which describes the "weight" of the interpolation points and the quantity as the interpolation data in the local interpolating region. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：190 / 199

页数：10

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