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Program Systems: Theory and Applications, 2024, Volume 15, Issue 3, Pages 23–52
DOI: https://doi.org/10.25209/2079-3316-2024-15-3-23-52
(Mi ps450)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematic Modeling

Mathematical modeling and research of the optimal configuration of an optical stereo system consisting of two flat mirrors

D. N. Stepanov, I. P. Tishchenko

Ailamazyan Program Systems Institute of RAS, Ves’kovo, Russia
References:
Abstract: The paper is devoted to mathematical modeling and optimization of optical stereo system configuration, consists of video camera and two flat mirrors. The difference between this research and previous researches is the consideration of a large number of restrictions on the configuration of the optical system: the size of the stereo base, the size of the mirrors, overall dimensions of the optical system, the absence of double reflection of light rays, preventing the situation when the video camera is reflected in the mirrors. A conditional optimization problem is formulated to find the optimal configuration of the considered optical system. The perimeter of the rectangle limiting the dimensions of the optical system was chosen as the target function. Numerical solution to the problem was found using the SciPy package. The results obtained expand the theory of computer vision and can be used in the creation and research of computer vision systems for robotic systems. (In Russian).
Key words and phrases: machine vision, optical devices, mathematical modeling, stereovision, optimization, catoptric system.
Received: 18.04.2024
Accepted: 26.08.2024
Document Type: Article
UDC: 004.942: 535.318
BBC: 32.813.53
MSC: Primary 78M50; Secondary 78A05, 68T45
Language: Russian
Citation: D. N. Stepanov, I. P. Tishchenko, “Mathematical modeling and research of the optimal configuration of an optical stereo system consisting of two flat mirrors”, Program Systems: Theory and Applications, 15:3 (2024), 23–52
Citation in format AMSBIB
\Bibitem{SteTis24}
\by D.~N.~Stepanov, I.~P.~Tishchenko
\paper Mathematical modeling and research of the optimal configuration of an optical stereo system consisting of two flat mirrors
\jour Program Systems: Theory and Applications
\yr 2024
\vol 15
\issue 3
\pages 23--52
\mathnet{http://mi.mathnet.ru/ps450}
\crossref{https://doi.org/10.25209/2079-3316-2024-15-3-23-52}
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  • https://www.mathnet.ru/eng/ps/v15/i3/p23
  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Program Systems: Theory and Applications
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