Blurred Defocused Image Restoration Based on Truncated Singular Value Decomposition
Fei Gao · Journal of Wuhan University · 2010
In this paper,a discrete extension model of the degraded images caused by defocus blurring and random noise is proposed under the assumption of reflecting boundary conditions by introducing the convolution equations and corresponding convolution operators of the discrete extension model. We prove the related properties and derive the singular system of the convolution operators by using the Fourier transform of the introduced extended matrix rigorously and propose a truncated singular value decomposition (TSVD) algorithm and its calculation steps to restore the defocus blurred images effectively. Then the numerical experiments of images restoration demonstrate the effectiveness of the algorithm.