Modeling and simulation of Compton scatter image formation in positron emission tomography-Reference-Cited by-同舟云学术

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

Published:2020-10-09 Issue:6 Volume:28 Page:923-932
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Kazantsev Ivan G.¹^ORCID,Matej Samuel²,Lewitt Robert M.²,Olsen Ulrik L.³,Poulsen Henning F.³,Yarovenko Ivan P.⁴,Prokhorov Igor V.⁴

Affiliation:

1. Institute of Computational Mathematics and Mathematical Geophysics , 630090 Novosibirsk , Russia

2. Department of Radiology , University of Pennsylvania , Philadelphia , PA 19104 , USA

3. Department of Physics , Technical University of Denmark , Fysikvej 307, 2800 Kgs. Lyngby , Denmark

4. Institute of Applied Mathematics , 7 Radio street, 690041 Vladivostok , Russia

Abstract

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.

Funder

National Institutes of Health

Siberian Branch, Russian Academy of Sciences

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2020-0052/pdf

Reference31 articles.

1. D. S. Anikonov, A. E. Kovtanyuk and I. V. Prokhorov, Transport Equation and Tomography, Inverse Ill-posed Probl. Ser. 30, VSP, Boston, 2002.

2. E. Berg and S. R. Cherry, Innovations in instrumentation for positron emission tomography, Semin. Nucl. Med. 48 (2018), 311–331.

3. Y. Berker and Y. Li, Attenuation correction in emission tomography – A review, Med. Phys. 43 (2016), 807–832.

4. I. Buvat, I. Castiglioni, J. Feuardent and M. C. Gilardi, Unified description and validation of Monte Carlo simulators in PET, Phys. Med. Biol. 50 (2005), 329–346.

5. M. Conti, I. Hong and C. Michel, Reconstruction of scattered and unscattered PET coincidences using TOF and energy information, Phys. Med. Biol. 57 (2012), 307–317.