Sharpening-demosaicing with the shift-invariant Haar wavelet transform

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. Our new iterative method performs demosaicing and sharpening simultaneously in the wavelet transform domain. Simulation results demonstrate that our new method works as efficiently as our previously proposed sharpening-demosaicing method with the TV regularization in the spatial image-domain.