Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities

被引：39

作者：

He, WJ ^{[1
]}

Lai, MJ ^{[1
]}

机构：

[1] Univ Georgia, Dept Math, Athens, GA 30602 USA

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 1999年 / 6卷 / 01期

关键词：

D O I：

10.1006/acha.1998.0245

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a simple formula for the duals of the filters associated with bivariate box spline functions. We show how to construct bivariate non-separable compactly supported biorthogonal wavelets associated with box spline functions which have arbitrarily high regularities. (C) 1999 Academic Press.

引用

页码：53 / 74

页数：22

共 23 条

[11]

HUNGERFORD TW, 1974, ALBEBRA

[12]

JI H, 1997, MULTIVARIATE COMPACT

[13]

LAI MJ, 1992, NUMER ALGORITHMS, V2, P33

[14]

RIEMENSCHNEIDER R, 1991, APPROXIMATION THEORY, P133

[15] WAVELETS AND PREWAVELETS IN LOW DIMENSIONS [J].

RIEMENSCHNEIDER, SD ;

SHEN, ZW .

JOURNAL OF APPROXIMATION THEORY, 1992, 71 (01) :18-38

[16] Multidimensional interpolatory subdivision schemes [J].

Riemenschneider, SD ;

Shen, ZW .

SIAM JOURNAL ON NUMERICAL ANALYSIS, 1997, 34 (06) :2357-2381

[17]

RIEMENSCHNEIDER SD, 1997, CONSTRUCTION COMPACT

[18] SIMPLE REGULARITY CRITERIA FOR SUBDIVISION SCHEMES [J].

RIOUL, O .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1992, 23 (06) :1544-1576

[19] Affine systems in L-2(R-d) .2. Dual systems [J].

Ron, A ;

Shen, ZW .

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS, 1997, 3 (05) :617-637

[20]

SHEN Z, IN PRESS SIAM J MATH

← 1 2 3 →