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Multiframe blind deconvolution of heavily blurred astronomical images

机译:严重模糊的天文图像的多帧盲反卷积

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摘要

A multichannel blind deconvolution algorithm that incorporates the maximum-likelihood image restoration by several estimates of the differently blurred point-spread function (PSF) into the Ayers-Dainty iterative algorithm is proposed. The algorithm uses no restrictions on the image and the PSFs except for the assumption that they are positive. The algorithm employs no cost functions, input parameters, a priori probability distributions, or the analytically specified transfer functions. The iterative algorithm permits its application in the presence of different kinds of distortion. The work presents results of digital modeling and the results of processing real telescope data from several satellites. The proof of convergence of the algorithm to the positive estimates of object and the PSFs is given. The convergence of the Ayers-Dainty algorithm with a single processed frame is not obvious in the general case; therefore it is useful to have confidence in its convergence in a multiframe case. The dependence of convergence on the number of processed frames is discussed. Formulas for evaluating the quality of the algorithm performance on each iteration and the rule of stopping its work in accordance with this quality are proposed. A method of building the monotonically converging subsequence of the image estimates of all the images obtained in the iterative process is also proposed.
机译:提出了一种多通道盲解卷积算法,该算法将通过对不同模糊点扩展函数(PSF)的几种估计的最大似然图像恢复合并到Ayers-Dainty迭代算法中。除了假设图像和PSF为正值外,该算法不对其进行任何限制。该算法不使用成本函数,输入参数,先验概率分布或分析指定的传递函数。迭代算法允许其在存在各种失真的情况下应用。这项工作提出了数字建模的结果以及处理来自几颗卫星的真实望远镜数据的结果。给出了算法对目标和PSF的正估计的收敛性证明。在一般情况下,Ayers-Dainty算法与单个已处理帧的收敛并不明显。因此,在多帧情况下对其收敛有信心是很有用的。讨论了收敛对处理帧数的依赖性。提出了用于评估每次迭代的算法性能的质量的公式以及根据该质量停止其工作的规则。还提出了一种建立在迭代过程中获得的所有图像的图像估计的单调收敛子序列的方法。

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