X-ray and optical tomography problems
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 5 (2008), pp. 483-498
Voir la notice de l'article provenant de la source Math-Net.Ru
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.
@article{SEMR_2008_5_a42,
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/}
}
TY - JOUR AU - A. E. Kovtanyuk AU - V. M. Moon AU - V. G. Nazarov AU - I. V. Prokhorov AU - I. P. Yarovenko TI - X-ray and optical tomography problems JO - Sibirskie èlektronnye matematičeskie izvestiâ PY - 2008 SP - 483 EP - 498 VL - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SEMR_2008_5_a42/ LA - ru ID - SEMR_2008_5_a42 ER -
%0 Journal Article %A A. E. Kovtanyuk %A V. M. Moon %A V. G. Nazarov %A I. V. Prokhorov %A I. P. Yarovenko %T X-ray and optical tomography problems %J Sibirskie èlektronnye matematičeskie izvestiâ %D 2008 %P 483-498 %V 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/SEMR_2008_5_a42/ %G ru %F SEMR_2008_5_a42
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/