A framelet-based image inpainting algorithm

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review

257 Scopus Citations
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Author(s)

Detail(s)

Original languageEnglish
Pages (from-to)131-149
Journal / PublicationApplied and Computational Harmonic Analysis
Volume24
Issue number2
Online published1 Nov 2007
Publication statusPublished - Mar 2008
Externally publishedYes

Abstract

Image inpainting is a fundamental problem in image processing and has many applications. Motivated by the recent tight frame based methods on image restoration in either the image or the transform domain, we propose an iterative tight frame algorithm for image inpainting. We consider the convergence of this framelet-based algorithm by interpreting it as an iteration for minimizing a special functional. The proof of the convergence is under the framework of convex analysis and optimization theory. We also discuss the relationship of our method with other wavelet-based methods. Numerical experiments are given to illustrate the performance of the proposed algorithm.

Research Area(s)

  • Convex analysis, Inpainting, Tight frame

Citation Format(s)

A framelet-based image inpainting algorithm. / Cai, Jian-Feng; Chan, Raymond H.; Shen, Zuowei.

In: Applied and Computational Harmonic Analysis, Vol. 24, No. 2, 03.2008, p. 131-149.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalpeer-review