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 language | English |
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Article number | 5893942 |
Pages (from-to) | 106-114 |
Number of pages | 9 |
Journal | IEEE Transactions on Image Processing |
Volume | 21 |
Issue number | 1 |
DOIs | |
Publication status | Published - Jan 2012 |
Externally published | Yes |
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