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2D dual-tree M-band wavelet decomposition

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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Submitted on : Tuesday, July 9, 2013 - 3:53:49 PM
Last modification on : Thursday, September 29, 2022 - 2:21:15 PM
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  • HAL Id : hal-00621891, version 1


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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