Multivariate polynomial spline spaces

被引：0

作者：

Chen, LA ^{[1
]}

Hsu, YJ

Chiang, YC

机构：

[1] Natl Chiao Tung Univ, Inst Stat, Hsinchu 30050, Taiwan

[2] Natl Chiao Tung Univ, Dept Math Appl, Hsinchu 30050, Taiwan

[3] Natl Tsing Hua Univ, Inst Stat, Hsinchu, Taiwan

来源：

ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 1999年 / 29卷 / 03期

关键词：

piecewise polynomial; multivariate polynomial spline;

D O I：

10.1216/rmjm/1181071609

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we construct bases of certain spaces of multivariate polynomial splines defined on rectangular partitions. These bases are presented by polynomials, truncated power functions and products of these functions. This setting provides a natural generalization of the two-dimensional polynomial spline, proposed by Chui and Wang [3], to p variables.

引用

页码：789 / 806

页数：18

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