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Application of the Radon Transform of Vector Functions to Magnetic Nondestructive Testing

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Abstract

In this paper, we consider the Radon transform for vector-valued 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.

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References

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Authors and Affiliations

  1. Academy of Law and Management of the Federal Penitentiary Service of Russia, Ryazan, Russia

    T. A. Zhilnikov & M. S. Maskina

Authors
  1. T. A. Zhilnikov
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  2. M. S. Maskina
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Correspondence to T. A. Zhilnikov.

Additional information

Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 182, Proceedings of the International Conference “Classical and Modern Geometry” Dedicated to the 100th Anniversary of Professor V. T. Bazylev. Moscow, April 22-25, 2019. Part 4, 2020.

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Zhilnikov, T.A., Maskina, M.S. Application of the Radon Transform of Vector Functions to Magnetic Nondestructive Testing. J Math Sci 277, 736–739 (2023). https://doi.org/10.1007/s10958-023-06880-6

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  • DOI: https://doi.org/10.1007/s10958-023-06880-6

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