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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. 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.

UDC: 550.834

Received: 23.10.1996


 English version:
Journal of Mathematical Sciences (New York), 1999, 96:4, 3423–3429

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