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

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.