Astronomical image restoration using Bayesian methods

Xiaoping Shi, Rui Guo, Zicai Wang
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Abstract

This paper is devoted to the combination of several prior models in Bayesian image restoration and increasingly wide utilization in astronomical images. Bayesian methods introduce image models using prior knowledge and address the ill-posed problem in the registration parameter estimation. Employing a variational Bayesian analysis, we obtain a unique approximating distribution based on the observations that decreases the Kullback Leibler distance for more optimal posterior distribution. The estimated results on astronomical images experimentally provide higher quality and better restoration performance.
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基于贝叶斯方法的天文图像恢复
本文研究了几种先验模型在贝叶斯图像恢复中的结合以及在天文图像中日益广泛的应用。贝叶斯方法利用先验知识引入图像模型,解决了配准参数估计中的不适定问题。利用变分贝叶斯分析,我们得到了一个基于观测值的唯一近似分布,减小了Kullback Leibler距离以获得更优的后验分布。对天文图像的实验估计结果具有更高的质量和更好的恢复性能。
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