Mr. Hang Xu Profile

Hang Xu

at Hubei University of Technology

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Proceedings Article | 8 July 2022 Paper

Accuracy evaluation method of laser tracking attitude measurement system based on homogeneous coordinate transformation

Ningtong Liu, Zhi Xiong, Hang Xu, Zhihao Guo, Chuqi Wu, Wei Feng, Weihu Zhou, Dengfeng Dong

Proceedings Volume 12282, 122820E (2022) https://doi.org/10.1117/12.2616391

KEYWORDS: Distance measurement, Cameras, Laser systems engineering, Prisms, Monte Carlo methods, Manufacturing, Laser applications, Imaging systems, 3D modeling

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The Six-degree-of-freedom(6-DOF) measurement system based on laser tracking equipment provides a good solution for large-scale industrial measurement. However, there is no unified standard to evaluate the accuracy of attitude measurement system. At present, the accuracy evaluation method of attitude measurement mainly adopts the comparison method of standard parts, which is easily constrained by space dimensions. Aiming at this problems, a homogeneous coordinate transformation method based on spatial distance constraint is proposed to realize the on-site accuracy evaluation of attitude measurement. Firstly, a reasonable control field was arranged, and the distance constraints between the reference points and the measuring points were established. Secondly, the mathematical model which described the relationship between space distance and attitude was established by using homogeneous coordinate transformation matrix. Through the above evaluation method, the accuracy of attitude measurement can be evaluated by tracing the measurement results of attitude angle to the length measuring standards. The simulation results show that the accuracy of the evaluation model decreases linearly with the measurement distance of attitude measurement system. Assuming that the measurement accuracy of the distance constraint is 15μm+6μm/m, the size of the control field is 1.1m*6.4m*5.6m, and the attitude angle range is [-60°, 60°]. The accuracy of the evaluation model can be controlled within [0.34°,3.25°], when the working distance is 3 to 15 meters. This method provide an effective idea for the on-site evaluation of attitude measurement accuracy.

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