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A Mathematical Model of Digital Linear Tomography

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Abstract

A mathematical model of digital linear tomography has been developed that takes into account the geometrical parameters of the scheme of testing, the depth of the layer of interest, the maximum energy of X-rays, the design of the digital detector, and the digit capacity of the analog-to-digital converter. The mathematical model is implemented in the MathCad software for engineering calculations. The results of a computational experiment are presented that confirm the possibility of producing the image of a layer with significantly reduced interference from images of other layers.

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Funding

This study was conducted at Tomsk Polytechnic University as part of a grant from the Competitiveness Enhancement Program of Tomsk Polytechnic University.

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Authors and Affiliations

  1. Tomsk Polytechnic University, 634028, Tomsk, Russia

    S. P. Osipov, S. V. Chakhlov & N. A. Sergeeva

  2. MIREA—Russian Technological University, 119454, Moscow, Russia

    E. Yu. Usachev, S. A. Schetinkin & A. A. Manushkin

  3. Solveig Multimedia, 634055, Tomsk, Russia

    O. S. Osipov

Authors
  1. S. P. Osipov
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  2. E. Yu. Usachev
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  3. S. V. Chakhlov
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  4. S. A. Schetinkin
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  5. A. A. Manushkin
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  6. O. S. Osipov
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  7. N. A. Sergeeva
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Corresponding authors

Correspondence to S. P. Osipov or S. V. Chakhlov.

Additional information

Translated by V. Potapchouck

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Osipov, S.P., Usachev, E.Y., Chakhlov, S.V. et al. A Mathematical Model of Digital Linear Tomography. Russ J Nondestruct Test 55, 407–417 (2019). https://doi.org/10.1134/S1061830919050085

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  • DOI: https://doi.org/10.1134/S1061830919050085

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