Document Type

Journal Article

Department/Unit

Department of Mathematics

Title

Coupled variational image decomposition and restoration model for blurred cartoon-plus-texture images with missing pixels

Language

English

Abstract

In this paper, we develop a decomposition model to restore blurred images with missing pixels. Our assumption is that the underlying image is the superposition of cartoon and texture components. We use the total variation norm and its dual norm to regularize the cartoon and texture, respectively. We recommend an efficient numerical algorithm based on the splitting versions of augmented Lagrangian method to solve the problem. Theoretically, the existence of a minimizer to the energy function and the convergence of the algorithm are guaranteed. In contrast to recently developed methods for deblurring images, the proposed algorithm not only gives the restored image, but also gives a decomposition of cartoon and texture parts. These two parts can be further used in segmentation and inpainting problems. Numerical comparisons between this algorithm and some state-of-the-art methods are also reported. © 1992-2012 IEEE.

Keywords

Cartoon and texture, deblurring, image decomposition, variable splitting method

Publication Date

2013

Source Publication Title

IEEE Transactions on Image Processing

Volume

22

Issue

6

Start Page

2233

End Page

2246

Publisher

Institute of Electrical and Electronics Engineers

DOI

10.1109/TIP.2013.2246520

Link to Publisher's Edition

http://dx.doi.org/10.1109/TIP.2013.2246520

ISSN (print)

10577149

ISSN (electronic)

19410042

This document is currently not available here.

Share

COinS