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A blind image restoration system using higher-order statistics and Radon transform

机译:使用高阶统计量和Radon变换的盲图像恢复系统

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We propose a complete system of blind image restoration. We have no restrictions about the blurring filter causing degradation to the original image (e.g., zero or linear phase filter). The blurring filter estimation part of this system consists 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 a 2-D to a 1-D 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. A singular value decomposition (SVD) 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.
机译:我们提出了一个完整的盲目图像复原系统。对于模糊滤波器导致原始图像质量下降的限制,我们没有任何限制(例如,零相位或线性相位滤波器)。该系统的模糊滤波器估计部分包括两个主要步骤:将模糊图像映射到Radon变换域中,以及在该域中进行盲模糊识别。映射简化了与我们系统相关的计算复杂性,从2D到1D域。盲模糊识别基于改进的优化方法,该方法使用累积量来估计滤波器系数。去卷积步骤基于最小二乘最优化方法。奇异值分解(SVD)技术用于改进估计和反卷积步骤中的优化过程。最后,计算反Radon变换以获得估计的还原图像。

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