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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


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.


Regularization, Poisson noise, stopping criterion, iterative methods, EM algorithm, Positron Emission Tomography

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