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Proceedings Paper

Double-density complex wavelet cartoon-texture decomposition
Author(s): Gary A. Hewer; Wei Kuo; Grant Hanson
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Paper Abstract

Both the Kingsbury dual-tree and the subsequent Selesnick double-density dual-tree complex wavelet transform approximate an analytic function. The classification of the phase dependency across scales is largely unexplored except by Romberg et al.. Here we characterize the sub-band dependency of the orientation of phase gradients by applying the Helmholtz principle to bivariate histograms to locate meaningful modes. A further characterization using the Earth Mover's Distance with the fundamental Rudin-Osher-Meyer Banach space decomposition into cartoon and texture elements is presented. Possible applications include image compression and invariant descriptor selection for image matching.

Paper Details

Date Published: 20 September 2007
PDF: 16 pages
Proc. SPIE 6701, Wavelets XII, 67011J (20 September 2007); doi: 10.1117/12.739209
Show Author Affiliations
Gary A. Hewer, Naval Air Warfare Ctr. (United States)
Wei Kuo, Naval Air Warfare Ctr. (United States)
Grant Hanson, Naval Air Warfare Ctr. (United States)

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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