A framelet-based image inpainting algorithm
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
|Journal / Publication||Applied and Computational Harmonic Analysis|
|Online published||1 Nov 2007|
|Publication status||Published - Mar 2008|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-38949172340&origin=recordpage|
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.
- Convex analysis, Inpainting, Tight frame