A Mathematical Model of Digital Linear Tomography

Abstract

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.

Original language	English
Pages (from-to)	407-417
Number of pages	11
Journal	Russian Journal of Nondestructive Testing
Volume	55
Issue number	5
DOIs	https://doi.org/10.1134/S1061830919050085
Publication status	Published - 1 May 2019

Keywords

digital implementation of linear tomography
digital radiography
imposition of shadows of fragments
Keywords: X-rays
layer image

ASJC Scopus subject areas

Materials Science(all)
Condensed Matter Physics
Mechanics of Materials
Mechanical Engineering

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10.1134/S1061830919050085

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@article{e283cc0061ff444681e205245ba1a9d9,

title = "A Mathematical Model of Digital Linear Tomography",

abstract = "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.",

keywords = "digital implementation of linear tomography, digital radiography, imposition of shadows of fragments, Keywords: X-rays, layer image",

author = "Osipov, {S. P.} and Usachev, {E. Yu} and Chakhlov, {S. V.} and Schetinkin, {S. A.} and Manushkin, {A. A.} and Osipov, {O. S.} and Sergeeva, {N. A.}",

year = "2019",

month = may,

day = "1",

doi = "10.1134/S1061830919050085",

language = "English",

volume = "55",

pages = "407--417",

journal = "Russian Journal of Nondestructive Testing",

issn = "1061-8309",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "5",

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TY - JOUR

T1 - A Mathematical Model of Digital Linear Tomography

AU - Osipov, S. P.

AU - Usachev, E. Yu

AU - Chakhlov, S. V.

AU - Schetinkin, S. A.

AU - Manushkin, A. A.

AU - Osipov, O. S.

AU - Sergeeva, N. A.

PY - 2019/5/1

Y1 - 2019/5/1

N2 - 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.

AB - 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.

KW - digital implementation of linear tomography

KW - digital radiography

KW - imposition of shadows of fragments

KW - Keywords: X-rays

KW - layer image

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DO - 10.1134/S1061830919050085

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JO - Russian Journal of Nondestructive Testing

JF - Russian Journal of Nondestructive Testing

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