New Generalization of Orthogonal Wavelet Bases

被引：6

作者：

Pleshcheva, E. A. ^{[1
]}

机构：

[1] Ural State Univ, Ekaterinburg 620083, Russia

来源：

PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2011年 / 273卷

基金：

俄罗斯基础研究基金会;

关键词：

multiresolution analysis; wavelets; scaling functions;

D O I：

10.1134/S0081543811050130

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Wavelet bases are constructed for n scaling functions. Fast algorithms for computing coefficients of expanding a function over such bases are presented.

引用

页码：S124 / S132

页数：9

共 11 条

[1]

[Anonymous], 1992, CBMS-NSF Reg. Conf. Ser. in Appl. Math

[2]

BERKOLAIKO MZ, 1992, DOKL AKAD NAUK+, V326, P935

[3] ON THE CONSTRUCTION OF MULTIVARIATE (PRE)WAVELETS [J].

DEBOOR, C ;

DEVORE, RA ;

RON, A .

CONSTRUCTIVE APPROXIMATION, 1993, 9 (2-3) :123-166

[4] MULTIRESOLUTION APPROXIMATIONS AND WAVELET ORTHONORMAL BASES OF L2(R) [J].

MALLAT, SG .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 315 (01) :69-87

[5]

Novikov I.Ya., 1998, Russian Mathematical Surveys, V53, P53

[6]

Novikov I. Ya., 2011, WAVELET THEORY

[7]

Petukhov A. P., 1999, INTRO THEORY WAVELET

[8]

Pleshcheva E. A., 2009, PROBLEMS THEORETICAL, P88

[9] SHORT WAVELETS AND MATRIX DILATION EQUATIONS [J].

STRANG, G ;

STRELA, V .

IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (01) :108-115

[10] The application of multiwavelet filterbanks to image processing [J].

Strela, V ;

Heller, PN ;

Strang, G ;

Topiwala, P ;

Heil, C .

IEEE TRANSACTIONS ON IMAGE PROCESSING, 1999, 8 (04) :548-563

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