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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 225–235 (Mi znsl459)  

Construction of algorithms of the reconstruction tomography

V. N. Troyan, G. A. Ryzhikov

Saint-Petersburg State University
Abstract: It is suggested the reconstruction algorithm of the parameter field of elastic waves by the diffraction tomography method. A priory information is taken into account in the probabilistic form. It is considered modifications of the algorithm, by various suggestions about the statistical connections of the parameter field. It is introduced the notion of the information sensetivity of the measurement field with respect to fixed linear field of the parameters. It is showed that the information sensetivity of the given system of tomographic functionals the higher, the more energy of the useful signal passed through the medium with a nonhomogeneity.
Received: 23.10.1996
English version:
Journal of Mathematical Sciences (New York), 1999, Volume 96, Issue 4, Pages 3423–3429
DOI: https://doi.org/10.1007/BF02172821
Bibliographic databases:
UDC: 550.834
Language: Russian
Citation: V. N. Troyan, G. A. Ryzhikov, “Construction of algorithms of the reconstruction tomography”, Mathematical problems in the theory of wave propagation. Part 26, Zap. Nauchn. Sem. POMI, 239, POMI, St. Petersburg, 1997, 225–235; J. Math. Sci. (New York), 96:4 (1999), 3423–3429
Citation in format AMSBIB
\Bibitem{TroRyz97}
\by V.~N.~Troyan, G.~A.~Ryzhikov
\paper Construction of algorithms of the reconstruction tomography
\inbook Mathematical problems in the theory of wave propagation. Part~26
\serial Zap. Nauchn. Sem. POMI
\yr 1997
\vol 239
\pages 225--235
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl459}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1700652}
\zmath{https://zbmath.org/?q=an:0934.65007}
\transl
\jour J. Math. Sci. (New York)
\yr 1999
\vol 96
\issue 4
\pages 3423--3429
\crossref{https://doi.org/10.1007/BF02172821}
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