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Article

Quantitative Evaluation of an Industrial Robot Tool Trajectory Deviation Using a High-Speed Camera

by
Mantas Makulavičius
,
Sigitas Petkevičius
,
Vytautas Bučinskas
and
Andrius Dzedzickis
*
Department of Mechatronics, Robotics and Digital Manufacturing, Vilnius Gediminas Technical University, LT-10105 Vilnius, Lithuania
*
Author to whom correspondence should be addressed.
Machines 2026, 14(1), 8; https://doi.org/10.3390/machines14010008
Submission received: 3 November 2025 / Revised: 15 December 2025 / Accepted: 18 December 2025 / Published: 19 December 2025
(This article belongs to the Section Robotics, Mechatronics and Intelligent Machines)

Abstract

One of the primary applications of industrial robots is in various manufacturing processes, such as milling, grinding, and additive manufacturing. To achieve the desired precision in tool trajectory performance when machining specific parts, it is necessary to calibrate the tool centre point (TCP) of the robot for each manufacturing process. The development of industrial robot tool trajectories is a multipurpose task. It encompasses issues related to robot geometry, path interpolation type, and trajectory waypoints approximation. The primary objective of this study is to establish a camera-based methodology for evaluating trajectory-following accuracy in industrial robots. The present paper proposes the use of a high-speed motion camera system for non-contact tracking of TCP trajectories. By capturing the robot’s end-effector motion in real-time and under actual trajectory tracking conditions, this technique enables a clearer understanding of how trajectory execution accuracy varies with velocity, trajectory geometry, trajectory interpolation, and robot kinematics. Provided analysis of two industrial robot types opened interesting findings related to the dependencies between the implementation of first- and second-degree interpolations. To illustrate this point, the implementation of second-degree interpolation ensures a more consistent velocity in the trajectory. This contrasts with first-degree interpolation, which is more challenging to achieve and is susceptible to variations in curvature. Conversely, the utilization of first-degree interpolation facilitates enhanced performance accuracy for smaller curvatures. The results of the experimental research confirm the initial hypothesis regarding the influence of interpolation mode and pave the way for future uses of this information for machine learning algorithms.
Keywords: industrial robotics; trajectory accuracy; toolpath generation; high-speed camera; non-contact measurements industrial robotics; trajectory accuracy; toolpath generation; high-speed camera; non-contact measurements

Share and Cite

MDPI and ACS Style

Makulavičius, M.; Petkevičius, S.; Bučinskas, V.; Dzedzickis, A. Quantitative Evaluation of an Industrial Robot Tool Trajectory Deviation Using a High-Speed Camera. Machines 2026, 14, 8. https://doi.org/10.3390/machines14010008

AMA Style

Makulavičius M, Petkevičius S, Bučinskas V, Dzedzickis A. Quantitative Evaluation of an Industrial Robot Tool Trajectory Deviation Using a High-Speed Camera. Machines. 2026; 14(1):8. https://doi.org/10.3390/machines14010008

Chicago/Turabian Style

Makulavičius, Mantas, Sigitas Petkevičius, Vytautas Bučinskas, and Andrius Dzedzickis. 2026. "Quantitative Evaluation of an Industrial Robot Tool Trajectory Deviation Using a High-Speed Camera" Machines 14, no. 1: 8. https://doi.org/10.3390/machines14010008

APA Style

Makulavičius, M., Petkevičius, S., Bučinskas, V., & Dzedzickis, A. (2026). Quantitative Evaluation of an Industrial Robot Tool Trajectory Deviation Using a High-Speed Camera. Machines, 14(1), 8. https://doi.org/10.3390/machines14010008

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