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Dal'nevostochnyi Matematicheskii Zhurnal, 2015, Volume 15, Number 1, Pages 121–128 (Mi dvmg304)  
This article is cited in 1 scientific paper (total in 1 paper)

A formula for the gradient of the output signal in positron emission tomography

I. P. Yarovenkoab

a Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok
b Far Eastern Federal University, Vladivostok
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Abstract: The work is devoted to the study of qualitative properties for the mathematical model of positron emission tomography. The model is the integral transform of unknown function describing the distribution of activity sources. We propose a formula for the gradient of the output signal. We give conditions under which the gradient of the output signal will have a singularity.
Key words: radiation transfer theory, positron emission tomography.
Received: 04.09.2014
Bibliographic databases:
Document Type: Article
UDC: 517.958
MSC: Primary 35Q60; Secondary 35R30
Language: Russian
Citation: I. P. Yarovenko, “A formula for the gradient of the output signal in positron emission tomography”, Dal'nevost. Mat. Zh., 15:1 (2015), 121–128
Citation in format AMSBIB
\Bibitem{Yar15}
\by I.~P.~Yarovenko
\paper A formula for the gradient of the output signal in positron emission tomography
\jour Dal'nevost. Mat. Zh.
\yr 2015
\vol 15
\issue 1
\pages 121--128
\mathnet{http://mi.mathnet.ru/dvmg304}
\elib{https://elibrary.ru/item.asp?id=23527896}
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    • This publication is cited in the following 1 articles:
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