Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 170724, 12 pages
doi:10.1155/2009/170724
Research Article

Applications of the Moore-Penrose Inverse in Digital Image Restoration

Spiros Chountasis,1 Vasilios N. Katsikis,2 and Dimitrios Pappas3

1Hellenic Transmission System Operator, 22 Asklipiou Street, 14568 Krioneri, Athens, Greece
2Department of Economics, University of Athens, 8 Pesmazoglou Street, 10559 Athens, Greece
3Department of Statistics, Athens University of Economics and Business, 76 Patission Street, 10434 Athens, Greece

Received 11 March 2009; Revised 16 July 2009; Accepted 20 August 2009

Academic Editor: Panos Liatsis

Copyright © 2009 Spiros Chountasis 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.

Abstract

This paper presents a fast computational method that finds application in a broad scientific field such as digital image restoration. The proposed method provides a new approach to the problem of image reconstruction by using the Moore-Penrose inverse. The resolution of the reconstructed image remains at a very high level but the main advantage of the method was found on the computational load that has been decreased considerably compared to the classic techniques.