Multivariate spline and algebraic geometry

被引：26
作者：
Wang, RH [1 ]
机构：
[1] Dalian Univ Technol, Inst Math Sci, Dalian 116024, Peoples R China
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2000年 / 121卷 / 1-2期
关键词：
multivariate (weak) spline; algebraic geometry; piecewise algebraic curve; piecewise algebraic variety;
D O I：
10.1016/S0377-0427(00)00344-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this survey is to emphasize the special relationship between multivariate spline and algebraic geometry. We will not only point out the algebraic-geometric method of multivariate spline, but also the algebraic-geometric background and essence of multivariate spline. Especially, we have made an introduction to the so-called piecewise algebraic curve, piecewise algebraic variety, and some of their properties. (C) 2000 Elsevier Science B.V. All rights reserved. MSC: 14C17; 14G40; 41A15; 41A46; 65D07; 65D10.
引用
收藏
页码：153 / 163
页数：11
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