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

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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Bibliographic Details
Published inJournal of mathematical sciences (New York, N.Y.) Vol. 277; no. 5; pp. 736 - 739
Main Authors Zhilnikov, T. A., Maskina, M. S.
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 22.12.2023
Springer
Springer Nature B.V
Subjects
Magnetic induction
Mathematics
Mathematics and Statistics
Nondestructive testing
Radon transformation
computed tomography
inverse Radon transform
direct Radon transform
magnetic nondestructive testing
magnetic flux density
53A45
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-023-06880-6