ISSN 0021-3454 (print version)
ISSN 2500-0381 (online version)
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9
Issue
vol 60 / SEPTEMBER, 2017
Article
UDC 621.397.3:519.642.3

TWO FAST ALGORITHMS FOR RESTORATION OF SMEARED IMAGES

V. S. Sizikov
ITMO University, Saint Petersburg, 197101, Russian Federation; Professor


K. Kir'yanov
Saint Petersburg National Research University of Information Technologies, Mechanics and Optics; Postgraduate


R. A. Exemplyarov
St. Petersburg State Polytechnical University; Post-Graduate Student


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Abstract. Two fast algorithms for restoration of a smeared image are proposed. Each algorithm includes numerical solution of the Fredholm ill-posed integral equation of the first kind by the Tikhonov regularization method using a preliminary calculated (prepared) matrix, and multiplication of the matrix by every row-vector of the smeared image. Comparison with known fast algorithms is presented.
Keywords: image smearing, image restoration, integral equation, fast algorithms, prepared matrix, multiplication of matrix by several vectors