Cubic spline prewavelets on the four-directional mesh

被引：3

作者：

Buhmann, MD ^{[1
]}

Davydov, O

Goodman, TNT

机构：

[1] Univ Giessen, Inst Math, D-35392 Giessen, Germany

[2] Univ Dundee, Dept Math, Dundee DD1 4HN, Scotland

来源：

FOUNDATIONS OF COMPUTATIONAL MATHEMATICS | 2003年 / 3卷 / 02期

关键词：

D O I：

10.1007/s10208-002-0054-x

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper. we design differentiable, two-dimensional, piecewise polynomial cubic prewavelets of particularly small compact support. They are given in closed form, and provide stable, orthogonal decompositions of L-2(R-2). In particular. the splines we use in our prewavelet constructions give rise to stable bases of spline spaces that contain all cubic polynomials, whereas the more familiar box spline constructions cannot reproduce all cubic polynomials. unless resorting to a box spline of higher polynomial degree.

引用

页码：113 / 133

页数：21

共 28 条

[1] SPLINE PREWAVELETS FOR NONUNIFORM KNOTS [J].