Image Restoration under Cauchy Noise with Sparse Representation Prior and Total Generalized Variation
Year: 2021
Author: Miyoun Jung, Myungjoo Kang
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 1 : pp. 81–107
Abstract
This article introduces a novel variational model for restoring images degraded by Cauchy noise and/or blurring. The model integrates a nonconvex data-fidelity term with two regularization terms, a sparse representation prior over dictionary learning and total generalized variation (TGV) regularization. The sparse representation prior exploiting patch information enables the preservation of fine features and textural patterns, while adequately denoising in homogeneous regions and contributing natural visual quality. TGV regularization further assists in effectively denoising in smooth regions while retaining edges. By adopting the penalty method and an alternating minimization approach, we present an efficient iterative algorithm to solve the proposed model. Numerical results establish the superiority of the proposed model over other existing models in regard to visual quality and certain image quality assessments.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jcm.1907-m2018-0234
Journal of Computational Mathematics, Vol. 39 (2021), Iss. 1 : pp. 81–107
Published online: 2021-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Image restoration Cauchy noise Sparse representation prior Dictionary learning Total generalized variation.