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.

About the authors

S. P. Osipov

Tomsk Polytechnic University

Author for correspondence.
Email: osip1809@rambler.ru
Russian Federation, Tomsk, 634028

E. Yu. Usachev

MIREA—Russian Technological University

Email: chakhlov@tpu.ru
Russian Federation, Moscow, 119454

S. V. Chakhlov

Tomsk Polytechnic University

Author for correspondence.
Email: chakhlov@tpu.ru
Russian Federation, Tomsk, 634028

S. A. Schetinkin

MIREA—Russian Technological University

Email: chakhlov@tpu.ru
Russian Federation, Moscow, 119454

A. A. Manushkin

MIREA—Russian Technological University

Email: chakhlov@tpu.ru
Russian Federation, Moscow, 119454

O. S. Osipov

Solveig Multimedia

Email: chakhlov@tpu.ru
Russian Federation, Tomsk, 634055

N. A. Sergeeva

Tomsk Polytechnic University

Email: chakhlov@tpu.ru
Russian Federation, Tomsk, 634028


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