A primal-dual method for total-variation-based wavelet domain inpainting

You Wei WEN*, Raymond H. CHAN, Andy M. YIP

*Corresponding author for this work

Research output: Journal PublicationsJournal Article (refereed)peer-review

52 Citations (Scopus)

Abstract

Loss of information in a wavelet domain can occur during storage or transmission when the images are formatted and stored in terms of wavelet coefficients. This calls for image inpainting in wavelet domains. In this paper, a variational approach is used to formulate the reconstruction problem. We propose a simple but very efficient iterative scheme to calculate an optimal solution and prove its convergence. Numerical results are presented to show the performance of the proposed algorithm.

Original languageEnglish
Article number5893942
Pages (from-to)106-114
Number of pages9
JournalIEEE Transactions on Image Processing
Volume21
Issue number1
DOIs
Publication statusPublished - Jan 2012
Externally publishedYes

Funding

This work was supported in part by the Academic Research Grant R146-000-116-112 from the National University of Singapore, Singapore, by the National Natural Science Foundation Grant, by the Hong Kong Research Grant Council Grant CUHK400510, by the DAG Grant 2060408, and by the Fundamental Research Funds for the Central Universities under Grant LZUJBKY-2009-49. The associate editor coordinating the review of this manuscript and approving it for publication was Prof. Sabine Susstrunk.

Keywords

  • Inpainting
  • primal-dual
  • total variation (TV)
  • wavelet

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