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SIAM J. Sci. Comput. 30, pp. 2655-2674 (20 pages)
Iterative Algorithms Based on Decoupling of Deblurring and Denoising for Image Restoration
In this paper, we propose iterative algorithms for solving image restoration problems. The iterative algorithms are based on decoupling of deblurring and denoising steps in the restoration process. In the deblurring step, an efficient deblurring method using fast transforms can be employed. In the denoising step, effective methods such as the wavelet shrinkage denoising method or the total variation denoising method can be used. The main advantage of this proposal is that the resulting algorithms can be very efficient and can produce better restored images in visual quality and signal-to-noise ratio than those by the restoration methods using the combination of a data-fitting term and a regularization term. The convergence of the proposed algorithms is shown in the paper. Numerical examples are also given to demonstrate the effectiveness of these algorithms.
© 2008 Society for Industrial and Applied Mathematics
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Received February 21, 2007
Accepted March 21, 2008
Published online August 06, 2008
Accepted March 21, 2008
Published online August 06, 2008
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