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 
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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