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On Removing Blur in Images Using Least Squares Solutions

机译:用最小二乘解法去除图像模糊

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摘要

The further investigation of the image restoration method introduced in [17, 18] is presented in this paper. Continuing investigations in that area, two additional applications of the method are investigated. More precisely, we consider the possibility to replace the available matrix in the method by the restoration obtained applying the Tikhonov regularization method or the Truncated Singular Value decomposition method. Additionally, statistical analysis of numerical results generated by applying the proposed improvement of image restoration methods is presented. Previously performed numerical experiments as well as new numerical results and the statistical analysis confirm that the least squares approach can be used as a useful tool for improving restored images obtained by other image restoration methods.
机译:本文对[17,18]中介绍的图像恢复方法进行了进一步的研究。在该领域的持续研究中,对该方法的两个其他应用进行了研究。更准确地说,我们考虑了用Tikhonov正则化方法或截断奇异值分解方法获得的恢复来替换方法中可用矩阵的可能性。此外,通过应用所提出的图像恢复方法的改进,对数值结果进行了统计分析。先前进行的数值实验以及新的数值结果和统计分析证实,最小二乘法可以用作改进通过其他图像恢复方法获得的恢复图像的有用工具。

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