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Zapiski Nauchnykh Seminarov POMI, 1997, Volume 239, Pages 225–235
(Mi znsl459)
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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
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
Linking options:
https://www.mathnet.ru/eng/znsl459 https://www.mathnet.ru/eng/znsl/v239/p225
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