Abstract

A new Bregman iterative regularization method is introduced for wavelet-based image deblurring. By using a suitable sequence of penalty parameters, we solve the issue of solvability of minimization problems arising in each step of the iterative procedure. Moreover, we give a projection-based algorithm to compute the solution. The convergence of the algorithm is also stated. The procedure is very fast and easy to implement. We also show numerical results of image deblurring using the algorithm.

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