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

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