A Primal–Dual Method for Total-Variation-Based Wavelet Domain Inpainting

  • Authors:
  • You-Wei Wen;Raymond H. Chan;Andy M. Yip

  • Affiliations:
  • Faculty of Science, Kunming University of Science and Technology, Kunming, China;Department of Mathematics, Chinese University of Hong Kong, Shatin, Hong Kong;Department of Mathematics, National University of Singapore, Singapore

  • Venue:
  • IEEE Transactions on Image Processing
  • Year:
  • 2012

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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.