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

Author

Listed:
  • 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
    Center for Research and Education in Mathematics, Institute of Mathematics and Computer Technologies, Far Eastern Federal University, 690922 Vladivostok, Russia)

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.

Suggested Citation

  • Vasily G. Nazarov & Igor V. Prokhorov & Ivan P. Yarovenko, 2023. "Identification of an Unknown Substance by the Methods of Multi-Energy Pulse X-ray Tomography," Mathematics, MDPI, vol. 11(15), pages 1-13, July.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:15:p:3263-:d:1201880
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