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Sibirskii Zhurnal Industrial'noi Matematiki, 2014, Volume 17, Number 4, Pages 48–59 (Mi sjim858)  
This article is cited in 3 scientific papers (total in 3 papers)

Approximate recovery of a function given in a domain with low refraction from the ray integrals of the function

E. Yu. Derevtsovab, S. V. Maltsevaab, I. E. Svetovba

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogova st., 630090 Novosibirsk
Full-text PDF (613 kB) Citations (3)
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Abstract: We suggest an approach to the recovery of a function given in a Riemannian domain with low refraction from the ray integrals of the function. We construct an inversion algorithm with the use of the back-projection operator and the fast Fourier transform. The algorithm is investigated by numerical methods.
Keywords: tomography, refraction, ray transform, back-projection operator, inversion formula, fast Fourier transform.
Received: 25.06.2014
English version:
Journal of Applied and Industrial Mathematics, 2015, Volume 9, Issue 1, Pages 36–46
DOI: https://doi.org/10.1134/S1990478915010056
Bibliographic databases:
Document Type: Article
UDC: 517.98+519.677
Language: Russian
Citation: E. Yu. Derevtsov, S. V. Maltseva, I. E. Svetov, “Approximate recovery of a function given in a domain with low refraction from the ray integrals of the function”, Sib. Zh. Ind. Mat., 17:4 (2014), 48–59; J. Appl. Industr. Math., 9:1 (2015), 36–46
Citation in format AMSBIB
\Bibitem{DerMalSve14}
\by E.~Yu.~Derevtsov, S.~V.~Maltseva, I.~E.~Svetov
\paper Approximate recovery of a~function given in a~domain with low refraction from the ray integrals of the function
\jour Sib. Zh. Ind. Mat.
\yr 2014
\vol 17
\issue 4
\pages 48--59
\mathnet{http://mi.mathnet.ru/sjim858}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3364392}
\transl
\jour J. Appl. Industr. Math.
\yr 2015
\vol 9
\issue 1
\pages 36--46
\crossref{https://doi.org/10.1134/S1990478915010056}
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    • This publication is cited in the following 3 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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