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Proceedings Paper

The edge driven oriented wavelet transform: an anisotropic multidirectional representation with oriented lifting scheme
Author(s): Guillaume Jeannic; Vincent Ricordel; Dominique Barba
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Paper Abstract

In spite of its success, the standard 2-D discrete wavelet transform (2D-DWT) is not completely adapted to represent image entities like edges or oriented textures. Indeed the DWT is limited by the spatial isotropy of its basis functions that can not take advantage of edges regularity and moreover, direction edge that is neither vertical or horizontal is represented using many of these wavelet basis functions which does mean that DWT does not provide a sparse representation for such discontinuities. Several representations have been proposed to overcome this lack. Some of them deal with more orientations while introducing redundancy (e.g. ridgelets, curvelets, contourlets) and their implementations are not trivial or require 2-D non separable filtering. We present two oriented lifting-based schemes using separable filtering, lead by edge extraction, and inspired from bandelets and curved wavelets. An image is decomposed into a quadtree according to the edge elements orientation. For each leaf, a wavelet transform is performed along the most regular orientation, and then along its orthogonal direction. Different adapted filters may be used for these two directions in order to achieve anisotropic filtering. Our method permits also a perfect reconstruction and a critical sampling.

Paper Details

Date Published: 29 January 2007
PDF: 12 pages
Proc. SPIE 6508, Visual Communications and Image Processing 2007, 65080X (29 January 2007); doi: 10.1117/12.704426
Show Author Affiliations
Guillaume Jeannic, Ecole Polytechnique de l'Univ. de Nantes (France)
Vincent Ricordel, Ecole Polytechnique de l'Univ. de Nantes (France)
Dominique Barba, Ecole Polytechnique de l'Univ. de Nantes (France)

Published in SPIE Proceedings Vol. 6508:
Visual Communications and Image Processing 2007
Chang Wen Chen; Dan Schonfeld; Jiebo Luo, Editor(s)

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