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Blur identification and image restoration with the expectation-maximization algorithm

机译:使用期望最大化算法进行模糊识别和图像恢复

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Abstract: The iterative expectation-maximization (EM) algorithm for identifying unknown blur, noise, and image parameters under Gaussian modeling assumptions is described. A new form of the equations updating parameter estimates is given, from which convergence conditions and symmetry properties of the parameter estimates are derived. The frequency domain resolution defined by the digital image is not appropriate for accurate parameter estimation. Instead, a version of the EM algorithm with frequency resolution appropriate for the blur point spread function (PSF) is proposed. Results are presented from a test of the reduced resolution algorithm, in which the importance of the initial PSF is studied.!
机译:摘要:描述了一种在高斯建模假设下识别未知模糊,噪声和图像参数的迭代期望最大化(EM)算法。给出了更新参数估计的方程式的新形式,从中推导了参数估计的收敛条件和对称性。由数字图像定义的频域分辨率不适用于准确的参数估计。取而代之的是,提出了一种适用于模糊点扩展函数(PSF)的具有频率分辨率的EM算法。结果来自降低分辨率算法的测试,其中研究了初始PSF的重要性。

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