2D dual-tree M-band wavelet decomposition

Caroline Chaux 1 Laurent Duval 2 Jean-Christophe Pesquet 1
1 LIGM - Laboratoire d'Informatique Gaspard-Monge
2 IFPEN - IFP Energies nouvelles
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.
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Conference papers
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https://hal-upec-upem.archives-ouvertes.fr/hal-00621891
Contributor : Caroline Chaux <>
Submitted on : Tuesday, July 9, 2013 - 3:53:49 PM
Last modification on : Thursday, February 7, 2019 - 4:44:58 PM
Long-term archiving on : Thursday, October 10, 2013 - 4:07:39 AM

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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. ⟨hal-00621891⟩

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