Blind Image Deblurring via the Weighted Schatten p-norm Minimization Prior

Abstract

In this paper, we propose a new image blind deblurring model, based on a novel low-rank prior. As the low-rank prior, we employ the weighted Schatten p-norm minimization (WSNM), which can represent both the sparsity and self-similarity of the image structure more accurately. In addition, the L0-regularized gradient prior is introduced into our model, to extract significant edges quickly and effectively. Moreover, the WSNM prior can effectively eliminate harmful details and maintain dominant edges, to generate sharper intermediate images, which is beneficial for blur kernel estimation. To optimize the model, an efficient optimization algorithm is developed by combining the half-quadratic splitting strategy with the generalized soft-thresholding algorithm. Extensive experiments have demonstrated the validity of the WSNM prior. Our flexible low-rank prior enables the proposed algorithm to achieve excellent results in various special scenarios, such as the deblurring of text, face, saturated, and noise-containing images. In addition, our method can be extended naturally to non-uniform deblurring. Quantitative and qualitative experimental evaluations indicate that the proposed algorithm is robust and performs favorably against state-of-the-art algorithms.