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An iterative algorithm for L1-TV constrained regularization in image restoration

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Published under licence by IOP Publishing Ltd
, , Citation K Chen et al 2015 J. Phys.: Conf. Ser. 657 012009 DOI 10.1088/1742-6596/657/1/012009

1742-6596/657/1/012009

Abstract

We consider the problem of restoring blurred images affected by impulsive noise. The adopted method restores the images by solving a sequence of constrained minimization problems where the data fidelity function is the 1 norm of the residual and the constraint, chosen as the image Total Variation, is automatically adapted to improve the quality of the restored images. Although this approach is general, we report here the case of vectorial images where the blurring model involves contributions from the different image channels (cross channel blur). A computationally convenient extension of the Total Variation function to vectorial images is used and the results reported show that this approach is efficient for recovering nearly optimal images.

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10.1088/1742-6596/657/1/012009