Geodesic
Construction of algorithms of the reconstruction tomography
Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 225-235

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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. 
@article{ZNSL_1997_239_a18,
     author = {V. N. Troyan and G. A. Ryzhikov},
     title = {Construction of algorithms of the reconstruction tomography},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {225--235},
     publisher = {mathdoc},
     volume = {239},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a18/}
}
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V. N. Troyan; G. A. Ryzhikov. Construction of algorithms of the reconstruction tomography. Zapiski Nauchnykh Seminarov POMI, Mathematical problems in the theory of wave propagation. Part 26, Tome 239 (1997), pp. 225-235. http://geodesic.mathdoc.fr/item/ZNSL_1997_239_a18/