Abstract

This paper proposes a method for reconstruction of blurred images damaged by a separable motion blur. The method can be used after the application of currently developed image restoration algorithms. Our approach is based on the usage of least squares solutions of certain matrix equations which define the separable motion blur. The method uses appropriately selected matrices besides the Moore–Penrose inverse. The method is tested by reconstructing a set of images after the removal of blur caused by uniform and separable motion. The quality of the restoration is observable by a human eye. The measurements such as the Improvement in Signal to Noise Ratio and the Peak in Signal to Noise Ratio have been increased significantly in comparison with the classical image restoration methods as well as the image restoration proposals based on the usage of the Moore–Penrose inverse.

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