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Proceedings Paper

Discrete directional wavelet bases and frames: analysis and applications
Author(s): Pier Luigi Dragotti; Vladan Velisavljevic; Martin Vetterli; Baltasar Beferull-Lozano
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Paper Abstract

The application of the wavelet transform in image processing is most frequently based on a separable construction. Lines and columns in an image are treated independently and the basis functions are simply products of the corresponding one dimensional functions. Such method keeps simplicity in design and computation, but is not capable of capturing properly all the properties of an image. In this paper, a new truly separable discrete multi-directional transform is proposed with a subsampling method based on lattice theory. Alternatively, the subsampling can be omitted and this leads to a multi-directional frame. This transform can be applied in many areas like denoising, non-linear approximation and compression. The results on non-linear approximation and denoising show interesting gains compared to the standard two-dimensional analysis.

Paper Details

Date Published: 13 November 2003
PDF: 9 pages
Proc. SPIE 5207, Wavelets: Applications in Signal and Image Processing X, (13 November 2003); doi: 10.1117/12.506741
Show Author Affiliations
Pier Luigi Dragotti, Imperial College London (United Kingdom)
Vladan Velisavljevic, Ecole Polytechnique Federale de Lausanne (Switzerland)
Martin Vetterli, Ecole Polytechnique Federale de Lausanne (Switzerland)
Univ. of California/Berkeley (United States)
Baltasar Beferull-Lozano, Ecole Polytechnique Federale de Lausanne (Switzerland)

Published in SPIE Proceedings Vol. 5207:
Wavelets: Applications in Signal and Image Processing X
Michael A. Unser; Akram Aldroubi; Andrew F. Laine, Editor(s)

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