2D dual-tree complex biorthogonal M-band wavelet transform

Caroline Chaux 1 Jean-Christophe Pesquet 1 Laurent Duval 2
1 LIGM - Laboratoire d'Informatique Gaspard-Monge
2 IFPEN - IFP Energies nouvelles
Abstract : Dual-tree wavelet transforms have recently gained popular- ity [1] since they provide low-redundancy directional anal- yses of images. In our recent work, dyadic real dual-tree decompositions have been extended to the M-band case, so adding much flexibility to this analysis tool. In this work, we propose to further extend this framework on two fronts by considering (i) biorthogonal and (ii) complex M-band dual- tree decompositions. Denoising results are finally provided to demonstrate the validity of the proposed design rules.
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Caroline Chaux, Jean-Christophe Pesquet, Laurent Duval. 2D dual-tree complex biorthogonal M-band wavelet transform. IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP'07), Apr 2007, Honolulu, Hawaii, USA, United States. pp.845-848. ⟨hal-00621884⟩

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