Double-density complex wavelet cartoon-texture decomposition

Gary A. Hewer; Wei Kuo; Grant Hanson

doi:10.1117/12.739209

20 September 2007 Double-density complex wavelet cartoon-texture decomposition

Gary A. Hewer, Wei Kuo, Grant Hanson

Proceedings Volume 6701, Wavelets XII; 67011J (2007) https://doi.org/10.1117/12.739209
Event: Optical Engineering + Applications, 2007, San Diego, California, United States

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.

Citation Download Citation

Gary A. Hewer, Wei Kuo, and Grant Hanson "Double-density complex wavelet cartoon-texture decomposition", Proc. SPIE 6701, Wavelets XII, 67011J (20 September 2007); https://doi.org/10.1117/12.739209

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