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Zapiski Nauchnykh Seminarov POMI, 1995, Volume 230, Pages 264–277 (Mi znsl3778)  
An application of Radon inversion to diffraction tomography

V. N. Troyan, G. A. Ryzhikov

Saint-Petersburg State University
Full-text PDF (550 kB)
Abstract: Basic equations of linear computer tomography are considered; a connection of the mathermatical formulation of problems of computer tomography with problems of integral geometry is indicated; the properties of the Radon transform for even- and odd-dimensional spaces are analyzed, and applications of Radon inversion to problems of diffraction tomography are presented. Bibl. 5 titles.
Received: 10.09.1994
English version:
Journal of Mathematical Sciences (New York), 1998, Volume 91, Issue 2, Pages 2873–2882
DOI: https://doi.org/10.1007/BF02434002
Bibliographic databases:
Document Type: Article
UDC: 550.834
Language: Russian
Citation: V. N. Troyan, G. A. Ryzhikov, “An application of Radon inversion to diffraction tomography”, Mathematical problems in the theory of wave propagation. Part 25, Zap. Nauchn. Sem. POMI, 230, POMI, St. Petersburg, 1995, 264–277; J. Math. Sci. (New York), 91:2 (1998), 2873–2882
Citation in format AMSBIB
\Bibitem{TroRyz95}
\by V.~N.~Troyan, G.~A.~Ryzhikov
\paper An application of Radon inversion to diffraction tomography
\inbook Mathematical problems in the theory of wave propagation. Part~25
\serial Zap. Nauchn. Sem. POMI
\yr 1995
\vol 230
\pages 264--277
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3778}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1434280}
\zmath{https://zbmath.org/?q=an:0902.65082|0886.65134}
\transl
\jour J. Math. Sci. (New York)
\yr 1998
\vol 91
\issue 2
\pages 2873--2882
\crossref{https://doi.org/10.1007/BF02434002}
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