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Licensed Unlicensed Requires Authentication Published by De Gruyter October 9, 2020

Modeling and simulation of Compton scatter image formation in positron emission tomography

  • Ivan G. Kazantsev ORCID logo EMAIL logo , Samuel Matej , Robert M. Lewitt , Ulrik L. Olsen , Henning F. Poulsen , Ivan P. Yarovenko and Igor V. Prokhorov

Abstract

We present the comparative study of the analytical forward model and the statistical simulation of the Compton single scatter in the positron emission tomography. The formula of the forward model has been obtained using the single scatter simulation approximation under simplified assumptions, and therefore we calculate scatter projections using independent Monte Carlo simulation mimicking the scatter physics. The numerical comparative study has been performed using a digital cylindrical phantom filled in with water and containing spherical sources of emission activity located at the central and several displaced positions. Good fits of the formula-based and statistically generated profiles of scatter projections are observed in the presented numerical results.

MSC 2010: 44A12; 44A35; 45H05; 65M38; 65N21

Award Identifier / Grant number: R01-EB023274

Award Identifier / Grant number: R01-CA113941

Award Identifier / Grant number: 0315-2016-0003

Funding statement: This work was supported in part by the NIH grants R01-EB023274 and R01-CA113941. The first author was supported in part by the Siberian Branch of the Russian Academy of Sciences (project no. 0315-2016-0003).

Acknowledgements

The authors thank Per Christian Hansen, Joel Karp and Lucretiu Popescu for the fruitful discussions. The content is solely the responsibility of the authors and does not necessarily represent the official views of the National Institutes of Health.

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Received: 2020-05-04
Accepted: 2020-09-19
Published Online: 2020-10-09
Published in Print: 2020-12-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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