@Article{CiCP-13-1066, author = {Yumei Huang, Michael Ng and Tieyong Zeng}, title = {The Convex Relaxation Method on Deconvolution Model with Multiplicative Noise}, journal = {Communications in Computational Physics}, year = {2013}, volume = {13}, number = {4}, pages = {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.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.310811.090312a}, url = {http://global-sci.org/intro/article_detail/cicp/7264.html} }