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Sibirskii Zhurnal Industrial'noi Matematiki, 2011, Volume 14, Number 1, Pages 140–149 (Mi sjim658)  
This article is cited in 3 scientific papers (total in 3 papers)

Numerical experiments with the inhomogeneity indicator in positron emission tomography

I. P. Yarovenko

Institute of Applied Mathematics FEB RAS, Vladivostok, RUSSIA
Full-text PDF (728 kB) Citations (3)
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Abstract: By means of numerical methods, the question is studied of applicability of the inhomogeneity indicator in positron emission tomography. The signal registered by the tomograph is described in terms of an imitation model using the Monte Carlo method. The possibility is demonstrated of the effective use of the inhomogeneity indicator for solving the problem under consideration. Some numerical results are presented in graphical form for reconstructing the boundaries of unknown activity sources.
Keywords: positron emission tomography, inhomogeneity indicator, Compton scattering, Monte Carlo method.
Received: 25.02.2010
English version:
Journal of Applied and Industrial Mathematics, 2012, Volume 6, Issue 2, Pages 261–268
DOI: https://doi.org/10.1134/S1990478912020160
Document Type: Article
UDC: 517.958
Language: Russian
Citation: I. P. Yarovenko, “Numerical experiments with the inhomogeneity indicator in positron emission tomography”, Sib. Zh. Ind. Mat., 14:1 (2011), 140–149; J. Appl. Industr. Math., 6:2 (2012), 261–268
Citation in format AMSBIB
\Bibitem{Yar11}
\by I.~P.~Yarovenko
\paper Numerical experiments with the inhomogeneity indicator in positron emission tomography
\jour Sib. Zh. Ind. Mat.
\yr 2011
\vol 14
\issue 1
\pages 140--149
\mathnet{http://mi.mathnet.ru/sjim658}
\transl
\jour J. Appl. Industr. Math.
\yr 2012
\vol 6
\issue 2
\pages 261--268
\crossref{https://doi.org/10.1134/S1990478912020160}
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  • https://www.mathnet.ru/eng/sjim658
  • https://www.mathnet.ru/eng/sjim/v14/i1/p140
    • This publication is cited in the following 3 articles:
    1. Kazantsev I.G., Matej S., Lewitt R.M., Olsen U.L., Poulsen H.F., Yarovenko I.P., Prokhorov V I., “Modeling and Simulation of Compton Scatter Image Formation in Positron Emission Tomography”, J. Inverse Ill-Posed Probl., 28:6 (2020), 923–932  crossref  mathscinet  zmath  isi  scopus
    2. I. P. Yarovenko, “The method for finding activity discontinues in positron emission tomography”, Sib. Electron. Math. Rep., 13 (2016), 694–703  crossref  isi
    3. I. P. Yarovenko, “Formula gradienta vykhodyaschego signala v pozitronno-emissionnoi tomografii”, Dalnevost. matem. zhurn., 15:1 (2015), 121–128  mathnet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
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