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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 694–703
DOI: https://doi.org/10.17377/semi.2016.13.054 (Mi semr704) 		 
Computational mathematics

The method for finding activity discontinues in positron emission tomography

I. P. Yarovenkoab

a Institute of Applied Mathematics FEB RAS, st. Radio, 7, 690041, Vladivostok, Russia
b Far Eastern Federal University, st. Sukhanova, 8, 690950, Vladivostok, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.054
Abstract: This paper deals with the inverse problem of a positron emission tomography. It is assumed that the outgoing radiation density is only given, and the task is to find the surface of an activity source. The uniqueness of the solution is proved, and the corresponding solution algorithm is outlined. Some numerical results are presented in graphical form for reconstructing the boundaries of unknown activity sources.
Keywords: positron emission tomography, radiation transfer theory.
Funding agency Grant number
Russian Science Foundation 14-11-00079
Received June 6, 2016, published August 24, 2016
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: 35Q60, 35R30
Language: Russian
Citation: I. P. Yarovenko, “The method for finding activity discontinues in positron emission tomography”, Sib. Èlektron. Mat. Izv., 13 (2016), 694–703
Citation in format AMSBIB
\Bibitem{Yar16}
\by I.~P.~Yarovenko
\paper The method for finding activity discontinues in positron emission tomography
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 694--703
\mathnet{http://mi.mathnet.ru/semr704}
\crossref{https://doi.org/10.17377/semi.2016.13.054}
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