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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2008, Volume 5, Pages 483–498 (Mi semr122)  
Reviews

X-ray and optical tomography problems

A. E. Kovtanyuk, V. M. Moon, V. G. Nazarov, I. V. Prokhorov, I. P. Yarovenko

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
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Abstract: The problems of X-ray and optical tomography have been considered in the review. A method for determination of a substance chemical composition based on the use of X-ray irradiation results has been proposed. The solution uniqueness for the problem of the attenuation coefficient determination for the vector transfer equation under a special external radiation source has been shown. The problems of determination of the refraction indices and optical thicknesses for a layered medium have been studied. A computer verification of the proposed numerical algorithms has been carried out.
Keywords: radiation transfer theory, inverse problems, tomography.
Received September 1, 2008, published November 26, 2008
Bibliographic databases:
Document Type: Article
UDC: 517.958, 519.63, 535.3
MSC: 45K05, 85A25, 35Q60, 65N21
Language: Russian
Citation: A. E. Kovtanyuk, V. M. Moon, V. G. Nazarov, I. V. Prokhorov, I. P. Yarovenko, “X-ray and optical tomography problems”, Sib. Èlektron. Mat. Izv., 5 (2008), 483–498
Citation in format AMSBIB
\Bibitem{KovMooNaz08}
\by A.~E.~Kovtanyuk, V.~M.~Moon, V.~G.~Nazarov, I.~V.~Prokhorov, I.~P.~Yarovenko
\paper X-ray and optical tomography problems
\jour Sib. \`Elektron. Mat. Izv.
\yr 2008
\vol 5
\pages 483--498
\mathnet{http://mi.mathnet.ru/semr122}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586652}
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