20 September 2007 Double-density complex wavelet cartoon-texture decomposition
Author Affiliations +
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.
© (2007) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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


Recent results in wavelet applications
Proceedings of SPIE (March 26 1998)
A wavelet filter performance criterion
Proceedings of SPIE (November 01 2004)

Back to Top