Color-image decomposition utilizing inter-channel color cross-correlations with its application to denoising

Authors:
Takahiro Saito;Haruya Aizawa;Nobuhiro Fujii;Takashi Komatsu
Affiliations:
Department of E&I Frontiers, High-Tech Research Center, Kanagawa University, Yokohama, Japan;Department of E&I Frontiers, High-Tech Research Center, Kanagawa University, Yokohama, Japan;Department of E&I Frontiers, High-Tech Research Center, Kanagawa University, Yokohama, Japan;Department of E&I Frontiers, High-Tech Research Center, Kanagawa University, Yokohama, Japan
Venue:
ICIP'09 Proceedings of the 16th IEEE international conference on Image processing
Year:
2009

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Abstract

This paper extends the BV-L1 variational nonlinear imagedecomposition approach, useful for image processing, to a genuine color-image decomposition approach. For utilizing inter-channel color cross-correlations, we introduce TV norms of color differences and TV norms of color sums into the BV-L1 energy functionals to be minimized, and then derive denoising-type decomposition-algorithm with an over-complete wavelet transform, by applying the Besov-norm approximation to the variational problem. Our method decomposes a noisy color image without producing undesirable low-frequency colored artifacts in its separated BV-component, and achieves desirable high-quality color-image decomposition, robust against colored random noise. We apply our decomposition method to color-image denoising.