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

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.

Domaines: Informatique et langage [cs.CL]

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⟩