X-ray and optical tomography problems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 483-498

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The problems of X-ray and optical tomography have been considered in the review. A method for determination of a substance chemical composition based on the use of X-ray irradiation results has been proposed. The solution uniqueness for the problem of the attenuation coefficient determination for the vector transfer equation under a special external radiation source has been shown. The problems of determination of the refraction indices and optical thicknesses for a layered medium have been studied. A computer verification of the proposed numerical algorithms has been carried out.
Keywords: radiation transfer theory, inverse problems, tomography.
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     author = {A. E. Kovtanyuk and V. M. Moon and V. G. Nazarov and I. V. Prokhorov and I. P. Yarovenko},
     title = {X-ray and optical tomography problems},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {483--498},
     publisher = {mathdoc},
     volume = {5},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2008_5_a42/}
}
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A. E. Kovtanyuk; V. M. Moon; V. G. Nazarov; I. V. Prokhorov; I. P. Yarovenko. X-ray and optical tomography problems. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 483-498. http://geodesic.mathdoc.fr/item/SEMR_2008_5_a42/