To deal with the shortcoming of the Tikhonov regularization in which the blurred image is extended with a zeros extension matrix. With careful analysis of the algorithms with Tikhonov regularization under zero boundary condition, a new extension matrix for the blurred image was proposed. The improved algorithm is in accord with the real image blurring process. Experimental results show that compared with other popular algorithms, the improved method performs favorably in solving the problem of the Average degradation and Gaussian degradation.
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