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To remove signal-dependent noise of a digital color camera, we propose a new denoising method with our hard color-shrinkage in the tight-frame grouplet transform domain. The classic hard-shrinkage works well for monochrome-image denoising. To utilize inter-channel color dependence, a noisy image undergoes the color transformation from the RGB to the luminance-and-chrominance color space, and the luminance...
Alter, Durand and Froment introduced the total-variation (TV) minimization approach to the artifact-free JPEG decoding, which is referred to as the ADF decoding method [1]. They formulated the decoding problem as the constrained TV restoration problem, in which the TV seminorm of its restored color image is minimized under the constraint that each DCT coefficient of the restored color image should...
A monochrome-image iterative deblurring method with the classical soft-shrinkage scheme in the shift-invariant Haar wavelet transform domain was recently proposed by R. H. Chan et al (2003). Extending the method, we present a new iterative sharpening-demosaicing method with the shift-invariant Haar wavelet transform and our previously proposed soft color-shrinkage utilizing inter-channel color cross-correlations...
To remove signal-dependent noise of a digital color camera, we present a new soft color-shrinkage scheme for color-image denoising in a wavelet transform domain. The classic soft-shrinkage scheme works well for monochrome-image denoising; to utilize inter-channel color cross-correlations, a noisy image undergoes the color-transformation from the RGB to the luminance-and-chrominance color space, and...
This paper extends the BV-L1 variational nonlinear image-decomposition 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...
This paper proposes a new digital-camera image-processing (IP) pipeline, in which observed raw color data is firstly demosaicked, and the demosaicked color image is decomposed into its two components, namely a structure component and a texture component, with our previously proposed BV-G color-image decomposition method, and then the two components are separately processed, and finally the two processed...
This paper presents a new image-processing (IP) pipeline adopting an image-processing approach via nonlinear image-decomposition, for a digital color camera. This new IP pipeline is composed of four stages. At the first stage, with the multiplicative BV-G image-decomposition method, each primary color channel of observed raw color data mosaicked with the Bayer color filter array is decomposed as a...
Previously we presented a TV (total variation)-based sharpening-demosaicing method. Our previous method interpolates color signals effectively while preserving sharp color edges, without producing ringing artifacts along the edges. However, since our previous method applies the TV regularization separately to each primary color channel, it sometimes produces color artifacts along sharp color edges...
By replacing the total-variation (TV) norm in the TV variational denoising model by the Besov norm defined with the orthonormal wavelet coefficients of an image, the TV variational model is converted into the LI variational model in the wavelet domain, and its solution is the classical wavelet shrinkage. The wavelet shrinkage denoising scheme works well for monochrome images; but its direct application...
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