Compressed Image Restoration via Artifacts-Free PCA Basis Learning and Adaptive Sparse Modeling

Visually unpleasant compression artifacts frequently appear in block-based transform coding, especially at low bit rates. This paper presents a new artifact reduction scheme based on Bayesian sparse modeling and artifacts-free PCA basis learning. To avoid the effect of blocking artifacts, we propose to learn artifacts-free PCA basis from clean images. We concatenate the clean patches and their compressed counterparts to learn paired distribution prior via the Gaussian Mixture Model (GMM). By this way, the GMM characterizes the mapping between the clean image and its compressed version. To restore a compressed patch, the best matched GMM component is assigned using the patch in the compressed image subspace. The artifacts-free PCA basis is obtained according to the mapping learned by the paired GMM. In practice, the statistical distributions of different sparse coefficients in different patches may dramatically vary with image contents. Instead of using a global zero-mean distribution for all coefficients, we propose to adaptively model the prior of each band in a Bayesian framework. The expectation and variance of each band are adaptively learned from the similar patches within the image. Thus, different transform bands are regularized unequally according to the learned priors. Experimental results show that the proposed scheme outperforms most of the compared schemes in terms of both objective quality and perceptual quality.