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In a previous work [1,2], Furuie and Mascarenhas proposed a number of reconstruction techniques for emission computed tomography of the PET type (Positron Emission Tomography), based on filtering the Poisson noise of the one dimensional projections, followed by the use of conventional fast algorithms, like convolution-backprojection. The purpose of this work is to refine the one dimensional projections estimation techniques previously proposed, by taking into account the correlation between points in the non-noisy one dimensional projections, both on the filtering and to the parameter estimation procedures.
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