Removal of blur in images based on least squares solutions

Stanimirovic, Predrag and Chountasis, Spiros and Pappas, Dimitrios and Stojanovic, Igor (2013) Removal of blur in images based on least squares solutions. Mathematical Methods in the Applied Sciences, 36 (17). pp. 2280-2296. ISSN 1099-1476

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We propose an image restoration method. The method generalizes image restoration algorithms that are based on the Moore–Penrose solution of certain matrix equations that define the linear motion blur. Our approach is based on the usage of least squares solutions of these matrix equations, wherein an arbitrary matrix of appropriate dimensions is included besides the Moore–Penrose inverse. In addition, the method is a useful tool for improving results obtained by other image restoration methods. Toward that direction, we investigate the case where the arbitrary matrix is replaced by the matrix obtained by the Haar basis reconstructed image. The method has been tested by reconstructing an image after the removal of blur caused by the uniform linear motion and filtering the noise that is corrupted with the image pixels. The quality of the restoration is observable by a human eye. Benefits of using the method are illustrated by the values of the improvement in signal-to-noise ratio and in the values of peak signal-to-noise ratio.

Item Type: Article
Subjects: Natural sciences > Computer and information sciences
Divisions: Faculty of Computer Science
Depositing User: Igor Stojanovik
Date Deposited: 14 Nov 2013 09:08
Last Modified: 26 Feb 2015 19:24

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