Some estimations of errors at problem of continuous medium radiography
Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 82-89.

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The paper deals with a problem of radiography of a continuous medium of unknown chemical composition. The medium is subjected to multiple X-raying at different energy levels. The relative errors at incoming and outgoing radiation are assumed to be known. The paper advances some estimations of absolute errors at the right side of system of equations describing the process of radiation transfer.
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V. G. Nazarov. Some estimations of errors at problem of continuous medium radiography. Dalʹnevostočnyj matematičeskij žurnal, Tome 20 (2020) no. 1, pp. 82-89. http://geodesic.mathdoc.fr/item/DVMG_2020_20_1_a8/

[1] Sergei Osipov, Sergei Chakhlov, Andrey Batranin, Oleg Osipov, Van Bak Trinh, Juriy Kytmanov, “Theoretical study of a simplified implementation model of a dual-energy technique for computed tomography”, NDT and E International, 98 (2018), 63–69 | DOI

[2] S. P. Osipov, V. A. Udod, Yanzhao Wang, “Identification of Materials in X-Ray Inspections of Objects by the Dual-Energy Method”, Russian Journal of Nondestructive Testing, 53 (8) (2017), 568–587 | DOI

[3] V. G. Nazarov, “Zadacha chastichnoi identifikatsii neizvestnogo veschestva”, Dalnevostochnyi matematicheskii zhurnal, 19:1 (2019), 43–62 | MR | Zbl

[4] V. G. Nazarov, “Metod singulyarnogo razlozheniya matritsy v zadache nakhozhdeniya khimicheskogo sostava sredy”, Sibirskie elektronnye matematicheskie izvestiya, 14 (2017), 821–837 | Zbl

[5] M. J. Berger, J. H. Hubbell, S. M. Seltzer, J. Chang, J. S. Coursey, R. Sukumar, D. S. Zucker, XCOM: Photon Cross Section Database, National Institute of Standards and Technology, Gaithersburg, MD, 2005 http://www.physics.nist.gov/xcom

[6] A. I. Volkov, I. V. Zharskii, Bolshoi khimicheskii spravochnik, Sovremennaya shkola, Minsk, 2005