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Atmospheric Turbulence-Degraded Image Restoration Using Principal Components Analysis

机译:基于主成分分析的大气湍流退化图像复原

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Our earlier work revealed a connection between blind image deconvolution and principal components analysis (PCA). In this letter, we explicitly formulate multichannel and single-channel blind image deconvolution as a PCA problem. Although PCA is derived from blur models that do not contain additive noise, it can be justified on both theoretical and experimental grounds that the PCA-based restoration algorithm is actually robust to the presence of white noise. The algorithm is applied to the restoration of atmospheric turbulence-degraded imagery and compared to an adaptive Lucy–Richardson maximum-likelihood algorithm on both real and simulated atmospheric turbulence blurred images. It is shown that the PCA-based blind image deconvolution runs faster and is more robust to noise.
机译:我们之前的工作揭示了盲图像反卷积和主成分分析(PCA)之间的联系。在这封信中,我们明确将多通道和单通道盲图像反卷积公式化为PCA问题。尽管PCA是从不包含加性噪声的模糊模型派生而来的,但可以在理论和实验基础上证明基于PCA的恢复算法实际上对白噪声的存在具有鲁棒性。该算法适用于大气湍流退化图像的恢复,并与针对真实和模拟的大气湍流模糊图像的自适应露西-理查森最大似然算法进行了比较。结果表明,基于PCA的盲图像反卷积运行速度更快,并且对噪声的鲁棒性更高。

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