10.14489/td.2026.08.pp.028-036

2026, 08 August

DOI: 10.14489/td.2026.08.pp.028-036

Kuts V. V., Malneva Yu. A., Gorshenina A. S.
CALIBRATING THE DIGITAL CAMERA FOR MEASUREMENT GEOMETRIC PARAMETERS OF ROTATING SHAFTS USING MACHINE VISION METHODS
(pp. 28-36)

Abstract. The article is devoted to the problem of calibrating a digital camera for high-precision measurement of geometric parameters of rotating shafts, since existing methods using reference patterns require complex alignment and are sensitive to installation errors. As a solution, a method is proposed using a rotating sample shaft with a known diameter as a calibration standard. During calibration, the video sequence of rotation of the shaft is analyzed, in which the points of its surface describe circles in space, projected onto the image plane in the form of ellipses. Based on their analysis and the known kinematics of rotation, the exact position of the axis of the model shaft in each frame and the position of the axis of rotation are determined. A detailed mathematical apparatus is presented for determining the position of the shaft axis in each section and its refinement, taking into account possible inclinations. The resulting spatial equation of the axis of rotation of the model shaft is used to measure the diameter of the controlled shaft by comparing the positions of their centers of rotation. The simulation results demonstrate a low systematic error of the method: no more than 0.1 μm for determining the centers of sections and no more than 0.025 μm for calculating the diameter. The proposed method eliminates the need for precise installation of an external calibration template and allows the use of rotational geometry for direct calibration of the measuring systeme.

Keywords: machine vision, camera calibration, shaft rotation axis, mathematical modeling, diameter measurement.

+ - About the Authors Click to collapse

V. V. Kuts, Yu. A. Malneva, A. S. Gorshenina (Southwest State University, Kursk, Russia) E-mail: Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра. , Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра. , Данный адрес e-mail защищен от спам-ботов, Вам необходимо включить Javascript для его просмотра.

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