COMPACTLY SUPPORTED SYMMETRIC C∞ WAVELETS WITH SPECTRAL APPROXIMATION ORDER

被引：23

作者：

Han, Bin ^{[1
]}

Shen, Zuowei ^{[2
]}

机构：

[1] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

[2] Natl Univ Singapore, Dept Math, Singapore 117548, Singapore

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2008年 / 40卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

symmetric tight wavelet frames; spectral frame approximation order; symmetric orthonormal complex wavelets; nonstationary cascade algorithm; nonstationary C-infinity wavelets;

D O I：

10.1137/060675009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain symmetric C-infinity real-valued tight wavelet frames in L-2(R) with compact support and the spectral frame approximation order. Furthermore, we present a family of symmetric compactly supported C-infinity orthonormal complex wavelets in L-2(R). A complete analysis of nonstationary tight wavelet frames and orthonormal wavelet bases in L-2(R) is given.

引用

页码：905 / 938

页数：34

共 37 条

[1] Restoration of chopped and nodded images by framelets [J].

Cai, Jian-Feng ;

Chan, Raymond ;

Shen, Lixin ;

Shen, Zuowei .

SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2008, 30 (03) :1205-1227

[2] A framelet-based image inpainting algorithm [J].

Cai, Jian-Feng ;

Chan, Raymond H. ;

Shen, Zuowei .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2008, 24 (02) :131-149

[3] Deconvolution: a wavelet frame approach [J].

Chai, Anwei ;

Shen, Zuowei .

NUMERISCHE MATHEMATIK, 2007, 106 (04) :529-587

[4] A framelet algorithm for enhancing video stills [J].

Chan, Raymond H. ;

Shen, Zuowei ;

Xia, Tao .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2007, 23 (02) :153-170

[5] Tight frame: an efficient way for high-resolution image reconstruction [J].

Chan, RH ;

Riemenschneider, SD ;

Shen, LX ;

Shen, ZW .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2004, 17 (01) :91-115

[6] Compactly supported tight and sibling frames with maximum vanishing moments [J].

Chui, CK ;

He, WJ ;

Stöckler, J .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2002, 13 (03) :224-262

[7] Nonstationary tight wavelet frames, II:: unbounded intervals [J].

Chui, CK ;

He, WJ ;

Stöckler, J .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2005, 18 (01) :25-66

[8] Compactly supported tight frames associated with refinable functions [J].

Chui, CK ;

He, WJ .

APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS, 2000, 8 (03) :293-319

[9] Nonstationary subdivision schemes and multiresolution analysis [J].

Cohen, A ;

Dyn, N .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1996, 27 (06) :1745-1769

[10]

COHEN A, 1994, WAVELET ANAL APPL, V5, P3

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