Application of the Radon transform of vector functions to magnetic nondestructive testing
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 182 (2020), pp. 28-32.

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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, magnetic nondestructive testing, magnetic flux density.
Mots-clés : direct Radon transform, inverse Radon transform
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T. A. Zhilnikov; M. S. Maskina. Application of the Radon transform of vector functions to magnetic nondestructive testing. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, 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, Tome 182 (2020), pp. 28-32. http://geodesic.mathdoc.fr/item/INTO_2020_182_a4/

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