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The Convex Relaxation Method on Deconvolution Model with Multiplicative Noise

The Convex Relaxation Method on Deconvolution Model with Multiplicative Noise
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Year:    2013

Communications in Computational Physics, Vol. 13 (2013), Iss. 4 : pp. 1066–1092

Abstract

In this paper, we consider variational approaches to handle the multiplicative noise removal and deblurring problem. Based on rather reasonable physical blurring-noisy assumptions, we derive a new variational model for this issue. After the study of the basic properties, we propose to approximate it by a convex relaxation model which is a balance between the previous non-convex model and a convex model. The relaxed model is solved by an alternating minimization approach. Numerical examples are presented to illustrate the effectiveness and efficiency of the proposed method.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.310811.090312a

Communications in Computational Physics, Vol. 13 (2013), Iss. 4 : pp. 1066–1092

Published online:    2013-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    27

Keywords:   

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