A method for digital image restoration, based on the algorithm of Lagrange multipliers, has many practical applications. We apply the method to remove blur in an image caused by uniform linear motion. This method assumes that linear motion corresponds to an integral number of pixels. The main contributions of the method were found on the Improvement in Signal to Noise Ration (ISNR) that have been increase significantly compared to the classic techniques, also the parameter Mean Square Error (MSE) has lower values and computational time that has been decreased considerably with respect to the other methods. We give an implementation in the MATLAB programming package.
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