Some new formulations of smoothness conditions and conformality conditions for bivariate splines

被引：19

作者：

Hong, D ^{[1
]}

Liu, HW

机构：

[1] E Tennessee State Univ, Dept Math, Johnson City, TN 37614 USA

[2] Univ Wollongong, Dept Math, Wollongong, NSW 2522, Australia

[3] Guangxi Inst Nationalities, Dept Math, Nanning 530006, Guangxi, Peoples R China

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2000年 / 40卷 / 01期

关键词：

B-net representation; multivariate splines; bivariate cubic splines; smoothness conditions; conformality conditions;

D O I：

10.1016/S0898-1221(00)00145-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with a study of some new formulations of smoothness conditions and conformality conditions for multivariate splines in terms of B-net representation. In bivariate setting, a group of new parameters of bivariate cubic polynomials over a planar simplex is introduced, and smoothness conditions and conformality conditions of bivariate cubic C-1 splines are simplified. (C) 2000 Elsevier Science Ltd. All rights reserved.

引用

页码：117 / 125

页数：9

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