*Reference:*
Korobeinikov A.G., Fedosovskii M.E., Aleksanin S.A..
Development of an automated procedure for solving the problem of reconstructing blurry digital images
// Cybernetics and programming. – 2016. – ¹ 1.
– P. 270-291.
DOI: 10.7256/2306-4196.2016.1.17867.

DOI: 10.7256/2306-4196.2016.1.17867

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**Abstract:** The study is devoted to methods allowing solving the problem of reconstructing blurry digital images. The authors give a mathematical formulation of the problem of removing blurring from the image. The article presents the Volterra type I equation integral equation. Based on a set of methods that solve this integral equation, the authors propose an automated procedure for solving the problem of reconstructing blurry digital images. The paper discussed in detail the method of Tikhonov regularization. Numerical experiments for different types of digital images are held. The authors give recommendation for choosing the regularization parameter. The research methodology is based on the methods for solving incorrectly posed problems, such as the task of removing the blurring of the digital image. The novelty of the research lies in the uniform approach to solving the problem of removing the blurring of a digital image. This approach has been applied to various kinds of digital images. The results of the selection of the regularization parameter, obtained using numerical experiments are different for different types of images, as expected.

**Keywords:** blur images, convolution, blind deconvolution, eliminate blurring, image enhancement, image processing, picture, discrepancy, Tikhonov regularization method, The automated procedure

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