A Convex Variational Model for Restoring Blurred Images with Multiplicative Noise

Abstract

In this paper, a new variational model for restoring blurred images with multiplicative noise is proposed. Based on the statistical property of the noise, a quadratic penalty function technique is utilized in order to obtain a strictly convex model under a mild condition, which guarantees the uniqueness of the solution and the stabilization of the algorithm. For solving the new convex variational model, a primal-dual algorithm is proposed, and its convergence is studied. The paper ends with a report on numerical tests for the simultaneous deblurring and denoising of images subject to multiplicative noise. A comparison with other methods is provided as well.

DOI: 10.1137/120870621

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Cite this paper

@article{Dong2013ACV, title={A Convex Variational Model for Restoring Blurred Images with Multiplicative Noise}, author={Yiqiu Dong and Tieyong Zeng}, journal={SIAM J. Imaging Sciences}, year={2013}, volume={6}, pages={1598-1625} }