Abstract : We propose a 2D generalization to the M-band case of the dualtree structure (initially proposed by N. Kingsbury and further investigated by I. Selesnick) based on a Hilbert pair of wavelets. We particularly address the construction of the dual basis and the resulting directional analysis. We revisit the necessary pre-processing stage in the M-band case. While several reconstructions are possible because of the redundancy of the representation, we propose a new optimal signal reconstruction technique, which minimizes potential estimation errors. The effectiveness of the proposed M-band decomposition is demonstrated via image denoising comparisons.
Type de document :
Communication dans un congrès
IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'05), Mar 2005, Phildelphia, PA, United States. pp.537-540, 2005
https://hal-upec-upem.archives-ouvertes.fr/hal-00621891
Contributeur : Caroline Chaux
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Soumis le : mardi 9 juillet 2013 - 15:53:49
Dernière modification le : jeudi 7 février 2019 - 16:44:58
Document(s) archivé(s) le : jeudi 10 octobre 2013 - 04:07:39
Caroline Chaux, Laurent Duval, Jean-Christophe Pesquet. 2D dual-tree M-band wavelet decomposition. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP'05), Mar 2005, Phildelphia, PA, United States. pp.537-540, 2005. 〈hal-00621891〉
