The Undecimated Wavelet Decomposition and its Reconstruction

Author

Starck, Jean-Luc ; Fadili, Jalal ; Murtagh, Fionn

Author_Institution

CEA-Saclay, Gif sur Yvette

Volume

16

Issue

2

fYear

2007

Firstpage

297

Lastpage

309

Abstract

This paper describes the undecimated wavelet transform and its reconstruction. In the first part, we show the relation between two well known undecimated wavelet transforms, the standard undecimated wavelet transform and the isotropic undecimated wavelet transform. Then we present new filter banks specially designed for undecimated wavelet decompositions which have some useful properties such as being robust to ringing artifacts which appear generally in wavelet-based denoising methods. A range of examples illustrates the results

Keywords

channel bank filters; image denoising; image reconstruction; wavelet transforms; filter banks; isotropic undecimated wavelet transform; undecimated wavelet decomposition; wavelet-based denoising methods; Application software; Continuous wavelet transforms; Discrete wavelet transforms; Filter bank; Image reconstruction; Image restoration; Noise reduction; Robustness; Wavelet analysis; Wavelet transforms; Denoising; multiresolution; multiscale decomposition; restoration; wavelet; Algorithms; Image Enhancement; Image Interpretation, Computer-Assisted; Information Storage and Retrieval; Numerical Analysis, Computer-Assisted; Signal Processing, Computer-Assisted;

fLanguage

English

Journal_Title

Image Processing, IEEE Transactions on

Publisher

ieee

ISSN

1057-7149

Type

jour

DOI

10.1109/TIP.2006.887733

Filename

4060954