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19 January 2009 Nonlinear color-image decomposition for image processing of a digital color camera
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Abstract
This paper extends the BV (Bounded Variation) - G and/or the BV-L1 variational nonlinear image-decomposition approaches, which are considered to be useful for image processing of a digital color camera, to genuine color-image decomposition approaches. For utilizing inter-channel color cross-correlations, this paper first introduces TV (Total Variation) norms of color differences and TV norms of color sums into the BV-G and/or BV-L1 energy functionals, and then derives denoising-type decomposition-algorithms with an over-complete wavelet transform, through applying the Besov-norm approximation to the variational problems. Our methods decompose a noisy color image without producing undesirable low-frequency colored artifacts in its separated BV-component, and they achieve desirable high-quality color-image decomposition, which is very robust against colored random noise.
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Takahiro Saito, Haruya Aizawa, Daisuke Yamada, and Takashi Komatsu "Nonlinear color-image decomposition for image processing of a digital color camera", Proc. SPIE 7250, Digital Photography V, 72500R (19 January 2009); https://doi.org/10.1117/12.805231
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