Cardinal B-spline dictionaries on a compact interval

被引：20

作者：

Andrle, M ^{[1
]}

Rebollo-Neira, L ^{[1
]}

机构：

[1] Aston Univ, Birmingham B4 7ET, W Midlands, England

来源：

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS | 2005年 / 18卷 / 03期

关键词：

cardinal spline spaces; B-spline dictionaries; sparse representation; non-linear approximation;

D O I：

10.1016/j.acha.2005.01.001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A prescription for constructing dictionaries for cardinal spline spaces on a compact interval is provided. It is proved that such spaces can be spanned by dictionaries which are built by translating a prototype B-spline function of fixed support into the knots of the required cardinal spline space. This implies that cardinal spline spaces on a compact interval can be spanned by dictionaries of cardinal B-spline functions of broader support than the corresponding basis functions. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：336 / 346

页数：11

共 19 条

[1] Backward-optimized orthogonal matching pursuit approach [J].

Andrle, M ;

Rebollo-Neira, L ;

Sagianos, E .

IEEE SIGNAL PROCESSING LETTERS, 2004, 11 (09) :705-708

[2]

ANDRLE M, BIORTHOGONAL TECHNIQ

[3]

[Anonymous], 1993, P 27 AS C SIGN SYST

[4]

Chui C. K., 1992, An introduction to wavelets, V1

[5] A GENERAL FRAMEWORK OF COMPACTLY SUPPORTED SPLINES AND WAVELETS [J].

CHUI, CK ;

WANG, JZ .

JOURNAL OF APPROXIMATION THEORY, 1992, 71 (03) :263-304

[6]

CHUI CK, 1992, NUMERICAL METHODS AP, V9, P53, DOI DOI 10.1007/978-3-0348-8619-2_

[7]

CHUI CK, 1979, WAVELETS MATH TOOLS

[8] Adaptive greedy approximations [J].

Davis, G ;

Mallat, S ;

Avellaneda, M .

CONSTRUCTIVE APPROXIMATION, 1997, 13 (01) :57-98

[9]

de Boor C, 1978, PRACTICAL GUIDE SPLI, V27

[10]

DEVORE A, 1998, ACTA NUMER, P51

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