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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2020, Volume 182, Pages 28–32
DOI: https://doi.org/10.36535/0233-6723-2020-182-28-32 (Mi into669) 		 
Application of the Radon transform of vector functions to magnetic nondestructive testing

T. A. Zhilnikov, M. S. Maskina

The Academy of Law Management of the Federal Penal Service of Russia
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DOI: https://doi.org/10.36535/0233-6723-2020-182-28-32
Abstract: In this paper, we consider the Radon transform for vector representations of functions. We propose an implementation of a nondestructive magnetic-induction research, which allows one to obtain an image of the internal structure of a magnetized sample by measuring the density of the flux penetrating it.
Keywords: computed tomography, direct Radon transform, inverse Radon transform, magnetic nondestructive testing, magnetic flux density.
Bibliographic databases:
Document Type: Article
UDC: 514.83
MSC: 53A45
Language: Russian
Citation: T. A. Zhilnikov, M. S. Maskina, “Application of the Radon transform of vector functions to magnetic nondestructive testing”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 182, VINITI, Moscow, 2020, 28–32
Citation in format AMSBIB
\Bibitem{ZhiMas20}
\by T.~A.~Zhilnikov, M.~S.~Maskina
\paper Application of the Radon transform of vector functions to magnetic nondestructive testing
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 182
\pages 28--32
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into669}
\crossref{https://doi.org/10.36535/0233-6723-2020-182-28-32}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4208397}
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