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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 2, Pages 3–10 (Mi sjim827)  
This article is cited in 9 scientific papers (total in 9 papers)

The integro-differential indicator for a problem of single-beam tomography

D. S. Anikonovab, V. G. Nazarovcd, I. V. Prokhorovcd

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
c Institute of Applied Mathematics FEB RAS, 7 Radio st., 690041, Vladivostok
d Far Eastern Federal University, 8 Sukhanova st., 690091, Vladivostok
Full-text PDF (706 kB) Citations (9)
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Abstract: The article continues the authors' investigations of the problem of X-ray tomography with few radiographic projections (beams). In their previous works, the authors suggested a special integro-differential operators for processing the available information. A new formula for such an operator is proposed. The article contains a theoretical justification of the algorithm and the results of the corresponding numerical experiments.
Keywords: inverse problem, tomography, location, radiation, transport equation.
Received: 17.03.2014
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 3, Pages 301–306
DOI: https://doi.org/10.1134/S1990478914030016
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: D. S. Anikonov, V. G. Nazarov, I. V. Prokhorov, “The integro-differential indicator for a problem of single-beam tomography”, Sib. Zh. Ind. Mat., 17:2 (2014), 3–10; J. Appl. Industr. Math., 8:3 (2014), 301–306
Citation in format AMSBIB
\Bibitem{AniNazPro14}
\by D.~S.~Anikonov, V.~G.~Nazarov, I.~V.~Prokhorov
\paper The integro-differential indicator for a~problem of single-beam tomography
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 2
\pages 3--10
\mathnet{http://mi.mathnet.ru/sjim827}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3379234}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 3
\pages 301--306
\crossref{https://doi.org/10.1134/S1990478914030016}
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  • https://www.mathnet.ru/eng/sjim/v17/i2/p3
    • This publication is cited in the following 9 articles:
    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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    Full-text PDF :117
    References:93
    First page:23
     
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