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Mathematical Model of Quasi Stereo Pair Formation during Arc-Shaped Motion of a Television Camera for Estimating Height Differences in Objects with a Regular Spatial Structure

 
 orcid Pavel Serdyukov

Institute of Radio Engineering Systems and Management of Southern Federal University,
Taganrog, 347922, Russian Federation

DOI 10.31854/2307-1303-2026-14-1-57-67

EDN YTKEHT

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Abstract

Problem statement. Height variation control of fuel assembly heads in nuclear reactor cores is a critical operation during scheduled maintenance, ensuring the safety of nuclear plant operation. The aim of this paper is to develop a mathematical model justifying the applicability of the parallax shift method for contactless height measurement in confined working conditions. The scientific novelty. Based on a projective model of a CCD television camera and the arc motion geometry, analytical relationships between the disparity of head projection centers and their height differences are derived. Results. Quantitative dependencies of the height measurement error on baseline, focal length, and center localization accuracy are obtained. It is established that with a baseline of 12 mm, suspension height of 1200–1300 mm, and sub-pixel estimation of the projection center along the fuel assembly head contour, a measurement error of 1.3–2.0 mm is achieved. This meets the requirements of industrial inspection (tolerance 3 mm) and surpasses the accuracy of the existing contact method (5 mm). Practical significance. The derived dependencies enable informed selection of system parameters at the design stage.

Keywords

parallax shift, quasi-stereopair, fuel assemblies, mathematical model, disparity, height measurement, CCD sensor, photogrammetry

Reference for citation

Serdyukov P. Mathematical Model of Quasi Stereo Pair Formation During Arc Motion of a Television Camera for Estimating Height Differences of Regularly Structured Objects // Telecom IT. 2026. Vol. 14. Iss. 1. PP. 57‒67 (in Russian). DOI: 10.31854/2307-1303-2026-14-1-57-67. EDN: YTKEHT
References

1. Serdyukov P. S., Rumyantsev K. E. Parallax-Shift Method for Non-Contact Measurementof Fuel Assembly Head Height Differences Usingtelevision Camera Video Stream // Electronic Design and Technology. 2025. Iss. 4. PP. 13-19. (in Russian) EDN: WTMLXG

2. Makeev V. V., Povarov V. P., Korobkin V. V., Lebedev O. V. System for the Non-Contact Determination of the Variability of Heat-Producing Grouting Heads in the Active Zone of the Reactor // News of Higher Education Institutions. North Caucasus Region. Technical Sciences. 2006. Iss. 16. PP. 37-41. (in Russian)

3. Balabaev S. L., Lozovskaya E. G., Rumyantsev K. E. Estimates of the Error in the Height of the Strict Geometric Order of Objects Based on Digital Television Systems on the CCD // Izvestiya SFEDU. Engineering Sciences. 2014. Iss. 8 (157). PP. 227-241. (in Russian) EDN: STQRKT

4. Kalyaev I. A., Rumyantsev K. E., Makeev V. V., Balabaev S. L., Korobkin V. V., et al. Noncontact Method of Evaluation of Different Altitude of Top Nozzle of Nuclear Reactor Based on Reconstruction of Three-Dimensional Images // Izvestiya SFEDU. Engineering Sciences. 2008. Iss. 3 (80). PP. 126-131. (in Russian) EDN: KNOFEN

5. Lozovskaya E., Balabaev S., Rumyantsev K. The mathematical Model of the Recording Video Camera for the Height Measurement of the Regularly Situated Objects // Proceedings of the 10th International Scientific-Practical Conference "Strategic-Questions of World Science ‒ 2014" (Przemysl, 07‒February 15, 2014). Przemysl, 2014. PP. 27-34.

6. Hartley R., Zisserman A. Multiple View Geometry in Computer Vision. 2nd ed. Cambridge University Press, 2003. 670 p. DOI: 10.1017/CBO9780511811685

7. Zhang Z. A Flexible New Technique for Camera Calibration // IEEE Transactions on Pattern Analysis and Machine Intelligence. 2000. Vol. 22. Iss. 11. PP. 1330-1334. DOI: 10.1109/34.888718

8. Luhmann T., Robson S., Kyle S., Harley I. Close Range Photogrammetry: Principles, Methods and Applications. Whittles Publishing, 2006. 510 p.

9. Sredyukov P. S. Influence of Subpixel Localization of Contours on the Accuracy of Determination of the Degree of complexity of HSS by Parallax-Shift Method // XII All-Russian Scientific and Technical Conference "Fundamental and Applied Aspects of Computer Technologies and Information Security". Taganrog, 2026. (in print, in Russian)

10. Serdyukov P. S., Rumyantsev K. E. Investigation of Errors in Non-Contact Measurement of Fuel Assembly Head Height Variations Using the Parallax-Shift Method with an Arc-Trajectory Television Camera // Vestnik SibGUTI. 2025. Vol. 19. Iss. 4. PP. 92-109. (in Russian) DOI: 10.55648/1998-6920-2025-19-4-92-109. EDN: YKYWJR

11. Serdyukov P. S., Rumyantsev K. E. Algorithmic Video Stream Processing and Implementation of the Parallax-Shift Method for Non-Contact Height Measurement of Objects // Defense Industry Achievements ‒ Russian Scientific and Technical Progress. 2025. Iss. 4 (168). PP. 29-35. (in Russian) DOI: 10.52190/1729-6552_2025_4_29. EDN: MOYUQI

 

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