http://dx.doi.org/10.4208/cicp.210709.180310a">
 

Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Alternating minimization method for total variation based wavelet shrinkage model

Language

English

Abstract

In this paper, we introduce a novel hybrid variational model which generalizes the classical total variation method and the wavelet shrinkage method. An alternating minimization direction algorithm is then employed. We also prove that it converges strongly to the minimizer of the proposed hybrid model. Finally, some numerical examples illustrate clearly that the new model outperforms the standard total variation method and wavelet shrinkage method as it recovers better image details and avoids the Gibbs oscillations. © 2010 Global-Science Press.

Keywords

Alternating minimization, Convergence, Gibbs oscillation, Total variation, Wavelet shrinkage

Publication Date

2010

Source Publication Title

Communications in Computational Physics

Volume

8

Issue

5

Start Page

976

End Page

994

Publisher

Global Science Press

ISSN (print)

18152406

ISSN (electronic)

19917120

This document is currently not available here.

Share

COinS