Title :
The Undecimated Wavelet Decomposition and its Reconstruction
Author :
Starck, Jean-Luc ; Fadili, Jalal ; Murtagh, Fionn
Author_Institution :
CEA-Saclay, Gif sur Yvette
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;
Journal_Title :
Image Processing, IEEE Transactions on
DOI :
10.1109/TIP.2006.887733
