A framelet-based image inpainting algorithm

https://doi.org/10.1016/j.acha.2007.10.002Get rights and content
Under an Elsevier user license
open archive

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.

Keywords

Tight frame
Inpainting
Convex analysis

Cited by (0)

1

Present affiliation: Temasek Laboratories and Department of Mathematics, National University of Singapore.

2

This work was supported by HKRGC Grant CUHK 400405 and CUHK DAG 2060257.

3

This work was partially supported by Grant R-146-000-060-112 at the National University of Singapore.