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https://doi.org/10.4208/eajam.020310.240610a
Title: | Wavelet based restoration of images with missing or damaged pixels | Authors: | Ji, H. Shen, Z. Xu, Y. |
Keywords: | Image restoration Impulsive noise Sparse approximation Split bregman method Tight frame |
Issue Date: | May-2011 | Citation: | Ji, H., Shen, Z., Xu, Y. (2011-05). Wavelet based restoration of images with missing or damaged pixels. East Asian Journal on Applied Mathematics 1 (2) : 108-131. ScholarBank@NUS Repository. https://doi.org/10.4208/eajam.020310.240610a | Abstract: | This paper addresses the problem of how to restore degraded images where the pixels have been partly lost during transmission or damaged by impulsive noise. A wide range of image restoration tasks is covered in the mathematical model considered in this paper-e.g. image deblurring, image inpainting and super-resolution imaging. Based on the assumption that natural images are likely to have a sparse representation in a wavelet tight frame domain, we propose a regularization-based approach to recover degraded images, by enforcing the analysis-based sparsity prior of images in a tight frame domain. The resulting minimization problem can be solved efficiently by the split Bregman method. Numerical experiments on various image restoration tasks-simultaneously image deblurring and inpainting, super-resolution imaging and image deblurring under impulsive noise-demonstrated the effectiveness of our proposed algorithm. It proved robust to mis-detection errors of missing or damaged pixels, and compared favorably to existing algorithms. © 2011 Global-Science Press. | Source Title: | East Asian Journal on Applied Mathematics | URI: | http://scholarbank.nus.edu.sg/handle/10635/115355 | ISSN: | 20797362 | DOI: | 10.4208/eajam.020310.240610a |
Appears in Collections: | Staff Publications |
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