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JOURNALS // Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia // Archive

Dokl. RAN. Math. Inf. Proc. Upr., 2022 Volume 505, Pages 71–78 (Mi danma281)

This article is cited in 5 papers

INFORMATICS

Improving the quality of tomographic images of a medium using irradiation with pulses of different duration

I. V. Prokhorov, I. P. Yarovenko

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, Russia

Abstract: Within the framework of the nonstationary radiative transfer equation, we propose a new extrapolation method to improve the quality of tomographic images of the attenuation coefficient. The method is based on irradiation of the medium under study with a series of pulses of different duration. A numerical analysis of the proposed algorithm is carried out using a well-known test phantom. The results show that the algorithm effectively suppresses the negative influence of scattering in X-ray tomography of inhomogeneous media.

Keywords: pulse tomography, nonstationary radiative transfer equation, inverse problems, attenuation coefficient, extrapolation.

UDC: 517.958

Presented: M. A. Guzev
Received: 12.07.2021
Revised: 28.04.2022
Accepted: 10.05.2022

DOI: 10.31857/S2686954322040130


 English version:
Doklady Mathematics, 2022, 106:1, 272–278

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© Steklov Math. Inst. of RAS, 2026