Document Type
Journal Article
Department/Unit
Department of Mathematics
Title
Selection of regularization parameter in total variation image restoration
Language
English
Abstract
We consider and study total variation (TV) image restoration. In the literature there are several regularization parameter selection methods for Tikhonov regularization problems (e.g., the discrepancy principle and the generalized cross-validation method). However, to our knowledge, these selection methods have not been applied to TV regularization problems. The main aim of this paper is to develop a fast TV image restoration method with an automatic selection of the regularization parameter scheme to restore blurred and noisy images. The method exploits the generalized cross-validation (GCV) technique to determine inexpensively how much regularization to use in each restoration step. By updating the regularization parameter in each iteration, the restored image can be obtained. Our experimental results for testing different kinds of noise show that the visual quality and SNRs of images restored by the proposed method is promising. We also demonstrate that the method is efficient, as it can restore images of size 256 X 256 in = 20 s in the MATLAB computing environment. © 2009 Optical Society of America.
Publication Date
2009
Source Publication Title
Journal of the Optical Society of America
Volume
26
Issue
11
Start Page
2311
End Page
2320
Publisher
Optical Society of America
DOI
10.1364/JOSAA.26.002311
Link to Publisher's Edition
http://dx.doi.org/10.1364/JOSAA.26.002311
ISSN (print)
00303941
Recommended Citation
Liao, Haiyong, Fang Li, and Michael K. Ng. "Selection of regularization parameter in total variation image restoration." Journal of the Optical Society of America 26.11 (2009): 2311-2320.