Blind image restoration system using higher-order statistics and Radon transform

Mostafa Abdelhakam Ibrahim; Abdel-Wahab F. Hussein; Samia A. Mashali; Ahmed H. Mohamed

doi:10.1117/12.319424

25 August 1998 Blind image restoration system using higher-order statistics and Radon transform

Mostafa Abdelhakam Ibrahim, Abdel-Wahab F. Hussein, Samia A. Mashali, Ahmed H. Mohamed

Proceedings Volume 3388, Advances in Optical Information Processing VIII; (1998) https://doi.org/10.1117/12.319424
Event: Aerospace/Defense Sensing and Controls, 1998, Orlando, FL, United States

Abstract

We propose a complete system of blind image restoration. We have no restrictions about the blurring filter causing degradation to the original image. The blurring filter estimation part of this system consist of two main steps: the mapping of the blurred image into the Radon transform domain, and the blind blur identification in this domain. The mapping simplifies the computational complexity associated with our system from 2D to 1D domain. The blind blur identification is based on a modified optimization method which uses cumulants in the estimation of the filter coefficients. The deconvolution step is based on a least squares optimization method. Singular value decomposition technique is used in improving the optimization process in the estimation and deconvolution steps. Finally, the inverse Radon transform is computed to get the estimated restored image.

Citation Download Citation

Mostafa Abdelhakam Ibrahim, Abdel-Wahab F. Hussein, Samia A. Mashali, and Ahmed H. Mohamed "Blind image restoration system using higher-order statistics and Radon transform", Proc. SPIE 3388, Advances in Optical Information Processing VIII, (25 August 1998); https://doi.org/10.1117/12.319424

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