Open Access Open Access  Restricted Access Subscription or Fee Access

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.

Keywords


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

Full Text:

PDF


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.