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Recovering Images, Registered by Device with Inexact Point-Spread Function, Using Tikhonov’s Regularized Least Squares Method

Vladimir Erokhin, Vladimir Volkov


The theoretical and practical aspects of using Tikhonov’s regularized least squares method to solve the image restoration problem are considered. We suppose, that degraded image was obtained from registering device with inexact point-spread function. The method of reducing image restoration problem to problem of solving approximate systems of linear algebraic equations and some matrix transformation of this systems are discussed. Both positive and negative values of regularization parameter are considered, which is not common practice in Tikhonov regularization. The results of computational experiments are
given. This experiments shows that there are such conditions that leads to necessity of using negative regularization parameter in Tikhonov’s regularized least squares method.


regularized least squares method, regularization, image restoration, the approximate system of linear algebraic equations.

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