Identification of an Unknown Substance by the Methods of Multi-Energy Pulse X-ray Tomography

Vasily G. Nazarov, Igor V. Prokhorov () and Ivan P. Yarovenko
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Vasily G. Nazarov: Institute of Applied Mathematics FEB RAS, 690041 Vladivostok, Russia
Igor V. Prokhorov: Institute of Applied Mathematics FEB RAS, 690041 Vladivostok, Russia
Ivan P. Yarovenko: Institute of Applied Mathematics FEB RAS, 690041 Vladivostok, Russia

Mathematics, 2023, vol. 11, issue 15, 1-13

Abstract: The inverse problem for the non-stationary radiative transfer equation is considered, which consists in finding the attenuation coefficient according to the pulsed multi-energy X-ray exposure. For a short duration of the probing pulse, the asymptotic solution of the inverse problem is found. The problem of identifying an unknown substance by attenuation coefficients approximately found on a finite set of energy values is formulated. Algorithms for solving identification problems are proposed. The results of the numerical simulation are presented for a wide range of substances of interest in medical computed tomography.

Keywords: pulsed tomography; non-stationary radiative transfer equation; inverse problems; attenuation coefficient; substance identification; multi-energy X-ray imaging (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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