KEYWORDS: Image restoration, Image processing, Wavelets, Chemical elements, Deconvolution, Compressed sensing, Image resolution, Point spread functions, Radio over Fiber, Detection and tracking algorithms
In this paper, proposed an image restoration method which base on the sparse constraint. Based on the principle of Compressed Sensing, the observed image is transformed into the wavelet domain, and then converted the image restoration problem to a convex set unrestricted optimization problem by limiting the number of non-zero elements of the wavelet domain, using the gradient projection method for solving the optimization problem to achieve the restoration of the input image. Experiments show that the method presented has the fast convergence and good robustness compared to the traditional total variation regularization restoration method.
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