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IEEE Trans Image Process. 2006 Aug;15(8):2397-412.

Image analysis using a dual-tree M-band wavelet transform.

Author information

1
Institut Gaspard Monge and CNRS-UMR 8049, Université de Marne-la-Vallée, 77454 Marne-la-Vallée Cedex 2, France. chaux@univ-mlv.fr

Abstract

We propose a two-dimensional generalization to the M-band case of the dual-tree decomposition structure (initially proposed by Kingsbury and further investigated by Selesnick) based on a Hilbert pair of wavelets. We particularly address: 1) the construction of the dual basis and 2) the resulting directional analysis. We also 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 denoising comparisons on several image types (natural, texture, seismics), with various M-band wavelets and thresholding strategies. Significant improvements in terms of both overall noise reduction and direction preservation are observed.

PMID:
16900693
[Indexed for MEDLINE]
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