Numer. Math. Theor. Meth. Appl., 2 (2009), pp. 427-438.


Adaptive Parameter Selection for Total Variation Image Deconvolution

You-Wei Wen 1*, Andy M. Yip 2

1 Faculty of Science, South China Agricultural University, Guangzhou, China; and Temasek Laboratories, National University of Singapore, 3, Science Drive 2, 117543, Singapore.
2 Department of Mathematics, National University of Singapore, 3, Science Drive 2, 117543, Singapore.

Received 13 March 2009; Accepted (in revised version) 11 June 2009

Abstract

In this paper, we propose a discrepancy rule-based method to automatically choose the regularization parameters for total variation image restoration problems. The regularization parameters are adjusted dynamically in each iteration. Numerical results are shown to illustrate the performance of the proposed method.

AMS subject classifications: 65K10, 68U10
Key words: Image restoration, regularization parameter, total variation.

*Corresponding author.
Email: tslwyw@nus.edu.sg (Y.-W. Wen), andyyip@nus.edu.sg (A. M. Yip)
 

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