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Poisson Image Denoising Using Best Linear Prediction: A Post-processing Framework

Niknejad, M. ; Bioucas-Dias, J. ; Figueiredo, M. A. T.

Poisson Image Denoising Using Best Linear Prediction: A Post-processing Framework, Proc European Signal Processing Conference EUSIPCO, Rome, Italy, Vol. , pp. - , September, 2018.

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Abstract
In this paper, we address the problem of denoising images degraded by Poisson noise. We propose a new patch-based approach based on best linear prediction to estimate the underlying clean image. A simplified prediction formula is derived for Poisson observations, which requires the covariance matrix of the underlying clean patch. We use the assumption that similar patches in a neighborhood share the same covariance matrix, and we use off-the-shelf Poisson denoising methods in order to obtain an initial estimate of the covariance matrices. Our method can be seen as a post-processing step for Poisson denoising methods and the results show that it improves upon several Poisson denoising methods by relevant margins.