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Mathematical Problems in Engineering
Volume 2015, Article ID 298689, 18 pages
Research Article

Application of the Least Squares Solutions in Image Deblurring

1Faculty of Sciences and Mathematics, University of Niš, Višegradska 33, 18000 Niš, Serbia
2Faculty of Computer Science, Goce Delčev University, Goce Delčev 89, 2000 Štip, Macedonia
3Department of Economics, Division of Mathematics and Informatics, National and Kapodistrian University of Athens, Sofokleous 1 Street, 10559 Athens, Greece
4Department of Statistics, Athens University of Economics and Business, 76 Patission Street, 10434 Athens, Greece

Received 2 September 2014; Revised 20 January 2015; Accepted 28 January 2015

Academic Editor: Joao B. R. Do Val

Copyright © 2015 Predrag S. Stanimirović et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A new method for the reconstruction of blurred digital images damaged by separable motion blur is established. The main attribute of the method is based on multiple applications of the least squares solutions of certain matrix equations which define the separable motion blur in conjunction with known image deconvolution techniques. The key feature of the proposed algorithms is reflected in the fact that they can be used only in symbiosis with other image restoration algorithms.