Paper Info
Title
Two-Step Approach for the Restoration of Images Corrupted by Multiplicative Noise.
Abstract
The restoration of images corrupted by blurring and multiplicative noise is a challenging problem in applied mathematics that has attracted much attention in recent years. In this article, we propose a two-step approach to solve the problem of restoring images degraded by multiplicative noise and blurring, where the multiplicative noise is first reduced by nonlocal filters and then a convex variational model is adopted to obtain the final restored images. The variational model of the second step is composed of an L-1-L-2 data-fidelity term and a total variation regularization term. The alternating direction method (ADM) is utilized to solve this variational problem, and we also prove that the ADM algorithm converges at least linearly. Experimental results show that the proposed two-step approach performs better than the existing methods for restoring images with multiplicative noise and blurring, both in the quality of the restored images and the convergence speed of the algorithms.
Year
DOI
Venue
2013
10.1137/120898693
SIAM JOURNAL ON SCIENTIFIC COMPUTING
Keywords
Field
DocType
alternating direction method,image restoration,deblurring,multiplicative noise,variational method,total variation
Convergence (routing),Mathematical optimization,Deblurring,Variational method,Variational model,Regular polygon,Total variation denoising,Image restoration,Mathematics,Multiplicative noise
Journal
Volume
Issue
ISSN
35
6
1064-8275
Citations 
PageRank 
References 
12
0.50
21
Authors
3
Name
Order
Citations
PageRank
Yu-Mei Huang125811.83
De-Yong Lu2141.21
Tieyong Zeng387448.72