Geodesic
X-ray tomographic determination of the chemical composition and structure of an inhomogeneous medium
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1413-1422 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The chemical composition of an inhomogeneous body consisting of several homogeneous parts is determined by x-ray tomography. At the first stage, an indicator of inhomogeneities is used to determine the internal structure of the body. Next, under certain additional assumptions about the properties of the parts, a method is proposed for partial or complete determination of the chemical composition of each part as based on the results of the previous stage. Mathematically, the problem is reduced to solving the radiative transfer equation and systems of linear algebraic equations. Numerical experiments are performed via computer simulation. The numerical results are illustrated by graphs and tomograms. 
@article{ZVMMF_2007_47_8_a12,
     author = {V. G. Nazarov},
     title = {X-ray tomographic determination of the chemical composition and structure of an inhomogeneous medium},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1413--1422},
     year = {2007},
     volume = {47},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a12/}
}
TY  - JOUR
AU  - V. G. Nazarov
TI  - X-ray tomographic determination of the chemical composition and structure of an inhomogeneous medium
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2007
SP  - 1413
EP  - 1422
VL  - 47
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a12/
LA  - ru
ID  - ZVMMF_2007_47_8_a12
ER  - 
%0 Journal Article
%A V. G. Nazarov
%T X-ray tomographic determination of the chemical composition and structure of an inhomogeneous medium
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2007
%P 1413-1422
%V 47
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a12/
%G ru
%F ZVMMF_2007_47_8_a12
V. G. Nazarov. X-ray tomographic determination of the chemical composition and structure of an inhomogeneous medium. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 47 (2007) no. 8, pp. 1413-1422. http://geodesic.mathdoc.fr/item/ZVMMF_2007_47_8_a12/

[1] Naidenov S. V., Ryzhikov V. D., “Ob opredelenii khimicheskogo sostava metodom multienergeticheskoi radiografii”, Pisma v ZhTF, 28:9 (2002), 6–13

[2] Zotev D. V., Filippov M. N., Yagola L. G., “Ob odnoi obratnoi zadache kolichestvennogo rentgenospek-tralnogo mikroanaliza”, Vychisl. metody i programmirovanie, 4, 2003, 26–32

[3] Fedoseev V. M., Rentgenovskii sposob obnaruzheniya veschestva po znacheniyu ego effektivnogo atomnogo nomera, Patent RF No 2095795, 1997

[4] Rumyantsev A. N., Mostovoi V. I., Sukhoruchkin V. K., Yakovlev G. V., Sposob obnaruzheniya i nerazrushayuschego analiza veschestv, soderzhaschikh yadra legkikh elementov, Patent RF No 2095796, 1997

[5] Anikonov D. S., Kovtanyuk A. E., Prokhorov I. V., Ispolzovanie uravneniya perenosa v tomografii, Logos, M., 2000

[6] Anikonov D. S., Nazarov V. G., Prokhorov I. V., Poorly visible media in X-ray tomography, VSP, Utrecht, Boston, 2002

[7] Hubbell J. H., Seltzer S. M., Tables of X-ray mass attenuation coefficients and mass energy-absorption coefficients 1 Kev to 20 Mev for elements $Z=1$ to 92 and 48 additional substances of dosimetric interest, 1995

[8] Berger M. J., Hubell J. H., Seltzer S. M. et al., XCOM: Photon cross section database, Nat. Inst. Standards and Technol., Gaithersburg, MD, 2005, version 1.3. [Online] Available http://physics.nist.gov/xcom

[9] Anikonov D. S., Nazarov V. G., “Klassifikatsiya neodnorodnykh sred v tomografii na osnove pokazatelya ikh kontrastnosti”, Optika i spektroskopiya, 99:4 (2005), 674–679

[10] Anikonov D. S., Kovtanyuk A. E. i dr., Baza dannykh radiatsionnykh kharakteristik veschestv, predstavlyayuschikh interes v rentgenodiagnostike http://sxray.iam.dvo.ru/

[11] Marchuk G. I., Mikhailov G. A., Nazarliev M. A. i dr., Metod Monte-Karlo v atmosfernoi optike, Nauka, Novosibirsk, 1976 | Zbl