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A New Parameters Choice Method for Ill-Posed Problems with Poisson Data and its Application to Emission Tomographic Imaging

Reginaldo J. Santos, Alvaro R. De Pierro

Abstract


We present a new approach to estimate regularization parameters arising in very large scale inverse problems with Poisson noise. We apply the derived formulae as a stopping rule for the EM and ART methods in Positron Emission Tomography, comparing the results to those obtained by the χ2 method.

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