@article{94b8a8c6e5454bc48057e1389fd93d5d,
title = "A New Convex Optimization Model for Multiplicative Noise and Blur Removal",
abstract = "The main contribution of this paper is to propose a new convex optimization model for multiplicative noise and blur removal. The main idea is to rewrite a blur and multiplicative noise equation such that both the image variable and the noise variable are decoupled. The resulting objective function involves the total variation regularization term, the term of variance of the inverse of noise, the l1-norm of the data-fitting term among the observed image, and noise and image variables. Such a convex minimization model can be solved efficiently by using many numerical methods in the literature. Numerical examples are presented to demonstrate the effectiveness of the proposed model. Experimental results show that the proposed model can handle blur and multiplicative noise (Gamma, Gaussian, or Rayleigh distribution) removal quite well.",
keywords = "Alternating direction method, Convex optimization, Image restoration, Multiplicative noise, Total variation",
author = "Zhao, {Xi Le} and Fan Wang and Ng, {Michael K.}",
note = "Funding information: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu 611731, People{\textquoteright}s Republic of China, and Centre for Mathematical Imaging and Vision, Hong Kong Baptist University, Kowloon Tong, Hong Kong (
[email protected]). This author{\textquoteright}s research was supported by 973 Program (2013CB329404), NSFC (61170311, 61370147), Chinese Universities Specialized Research Fund for the Doctoral Program (20110185110020), Sichuan Province Sci. and Tech. Research Project (2012GZX0080), and the Fundamental Research Funds for the Central Universities (ZYGX2013J106). School of Mathematics and Statistics, Lanzhou University, Lanzhou 730000, People{\textquoteright}s Republic of China (
[email protected]). This author{\textquoteright}s research was supported by NSFC (11301239) and the Fundamental Research Funds for the Central Universities (lzujbky-2013-12). Corresponding author. Centre for Mathematical Imaging and Vision, and Department of Mathematics, Hong Kong Baptist University, Kowloon Tong, Hong Kong (
[email protected]). This author{\textquoteright}s research was supported by RGC GRF grant 202013 and HKBU FRG grant FRG/12-13/065. Publisher copyright: {\textcopyright} 2014, Society for Industrial and Applied Mathematics",
year = "2014",
month = mar,
day = "4",
doi = "10.1137/13092472X",
language = "English",
volume = "7",
pages = "456--475",
journal = "SIAM Journal on Imaging Sciences",
issn = "1936-4954",
publisher = "Society for Industrial and Applied Mathematics (SIAM)",
number = "1",
}