Computational science
Research Article
Mathematical modeling and research of the optimal configuration of an optical stereo system consisting of two flat mirrors
Dmitry Nikolaevich Stepanov1
, Igor Petrovich Tishchenko2
| 1,2 | Ailamazyan Program Systems Institute of RAS, Ves'kovo, Russia |
| 1 |
mitek1989@mail.ru |
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).
Keywords: machine vision, optical devices, mathematical modeling, stereovision, optimization, catoptric system
MSC-2020
78M50; 78A05, 68T45
For citation: Dmitry N. Stepanov, Igor 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, 2024, 15:3, pp. 23–52. (In Russ.). https://psta.psiras.ru/2024/3_23-52.
Full text of article (PDF): https://psta.psiras.ru/read/psta2024_3_23-52.pdf.
The article was submitted 18.04.2024; approved after reviewing 17.06.2024; accepted for publication 26.08.2024; published online 10.09.2024.
