Correction of Thermographic Images Based on the MIinimization Method of Tikhonov Functional

  • Obaida Baaj Peoples’ Friendship University of Russia, Moscow, Russia
  • Natalia Yu. Chernikova Peoples’ Friendship University of Russia, Moscow, Russia
  • Eugeniy B. Laneev Peoples’ Friendship University of Russia, Moscow, Russia
DOI: https://doi.org/10.2298/YJOR211015026B

Abstract

The paper considers the method of correction of thermographic images (thermograms) obtained by recording in the infrared range of radiation from the surface of the object under study using a thermal imager. A thermogram with a certain degree of reliability transmits an image of the heat-generating structure inside the body.We performed the mathematical correction of images on a thermogram, based on an analytical continuation of the stationary temperature distribution as a harmonic function from the surface of the object under study towards the heat sources. The continuation is carried out by solving an ill-posed mixed problem for the Laplace equation in a cylindrical region of rectangular cross-section. To construct a stable solution to the problem, the principle of the minimum of the Tikhonov smoothing functional is used.

Published
2021-12-07
How to Cite
BAAJ, Obaida; CHERNIKOVA, Natalia Yu.; LANEEV, Eugeniy B.. Correction of Thermographic Images Based on the MIinimization Method of Tikhonov Functional. Yugoslav Journal of Operations Research, [S.l.], v. 32, n. 3, p. 407-424, dec. 2021. ISSN 2334-6043. Available at: <https://yujor.fon.bg.ac.rs/index.php/yujor/article/view/1049>. Date accessed: 04 dec. 2024. doi: https://doi.org/10.2298/YJOR211015026B.
Citation Formats
Issue
Vol 32 No 3 (2022)
Section
Research Articles
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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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