Journal
IEEE TRANSACTIONS ON IMAGE PROCESSING
Volume 16, Issue 2, Pages 297-309Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIP.2006.887733
Keywords
denoising; multiresolution; multiscale decomposition; restoration; wavelet
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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.
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