Translator Disclaimer
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, Wei Kuo, and Grant Hanson "Double-density complex wavelet cartoon-texture decomposition", Proc. SPIE 6701, Wavelets XII, 67011J (20 September 2007);


Sparse Gabor wavelets by local operations
Proceedings of SPIE (June 28 2005)
Image processing with JPEG2000 coders
Proceedings of SPIE (April 24 2008)
Wavelet-based pavement image compression and noise reduction
Proceedings of SPIE (September 17 2005)
Contourlets and sparse image expansions
Proceedings of SPIE (November 12 2003)

Back to Top