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