The undecimated wavelet decomposition and its reconstruction

被引:367
作者
Starck, Jean-Luc [1 ]
Fadili, Jalal
Murtagh, Fionn
机构
[1] CEA Saclay, DAPNIA, SEDI SAP, Serv Astrophys, F-91191 Gif Sur Yvette, France
[2] ENSICAEN, GREYC, UMR 6072, Image Proc Grp,CNRS, F-14050 Caen, France
[3] Univ London Royal Holloway & Bedford New Coll, Dept Comp Sci, Egham TW20 0EX, Surrey, England
关键词
denoising; multiresolution; multiscale decomposition; restoration; wavelet;
D O I
10.1109/TIP.2006.887733
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
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.
引用
收藏
页码:297 / 309
页数:13
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