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Research on the Layout of Calibration Points for Laser Tracking Multilateral Asynchronous Measurement System |
YAN Yang1,2,XIA Wen-jie3,LIN Hu2 |
1.China University of Mining and Technology-Beijing, Beijing 100083, China
2.National Institute of Metrology,Beijing 100029, China
3.Chenzhou Metrology Testing & Verification Institute, Chenzhou, Hunan 423099, China |
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Abstract To improve the calibration accuracy of the base station of laser tracking multilateral asynchronous measurement system, the layout of calibration points is studied. Firstly, simulation experiments are carried out under different calibration point layouts based on the principle of laser tracking multilateral method, and the results show that the calibration accuracy of the base station is different under different calibration point layouts with different values of position dilution of precision (PDOP). Secondly, based on PDOP, the study of the layout of calibration points in different dimensions is done. The results shows that the calibration accuracy of the base station is poor when the calibration points are laid out in a straight line, and the calibration accuracy of the base station improves when the calibration points are laid out in the plane or in the space range with the layout expansion and the points number increase. Finally, the experiments for measured points demonstrat that the PDOP can quantitatively characterize the pros and cons of the calibration points layout. When the calibration points are laid out in a three-dimensional space area, the PDOP value corresponding to the base station is <3, the spatial distance between the coordinates of the measured point and the reference coordinates is ≤4.4μm and the calibration accuracy of the base station and the measurement accuracy of the measured points are higher.
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Received: 21 July 2022
Published: 22 August 2023
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[8] |
王婷, 裘祖荣, 李杏华. 四路激光跟踪柔性坐标系统绝对零位标定[J]. 中国机械工程, 2008, 19(9): 1051-1054.
|
[1] |
陈相君, 古力那尔·祖农, 薛梓, 等. 基于激光跟踪仪的协作机器人标定算法与实验研究[J]. 计量学报, 2021,42(5): 552-557.
|
[2] |
陈洪芳, 闫昊, 石照耀. 面向特大型齿轮的激光跟踪多站位定位[J]. 光学精密工程, 2014, 22(9): 2375-2380.
|
[10] |
胡进忠, 余晓芬, 任兴, 等. 基于激光多边法的坐标测量系统最佳布局[J]. 中国激光, 2014, 41(7): 183-189.
|
[16] |
李笑宇, 林虎, 薛梓, 等. 激光跟踪多边测量标定优化方法[J]. 仪器仪表学报, 2021, 42(2): 10-17.
|
|
Chen X J, Gulnar Z, Xue Z, et al. Collaborative robot calibration algorithm and experimental study based on laser tracker[J]. Acta Metrologica Sinica, 2021, 42 (5): 552-557.
|
|
Chen H F, Yan H, Shi Z Y. Laser tracking multi-station positioning for very large gears[J]. Optical Precision Engineering, 2014, 22(9): 2375-2380.
|
[3] |
Aguilar J J, Acero R, Brosed F J, et al. Development of a high precision telescopic instrμment based on simultaneous laser multilateration for machine tool volμmetric verification[J]. Sensors, 2020, 20(13): 3798.
|
[5] |
Takatsuji T, Goto M, Kirita A, et al. The relationship between the measurement error and the arrangement of laser trackers in laser trilateration[J]. Measurement Science and Technology, 2000, 11(5): 477-483.
|
|
Lin Y B, Zhang G X, Li Z, et al. Optimal layout of a four-way laser tracking 3D coordinate measurement system[J]. China Laser, 2002, 29(11): 1000-1005.
|
|
Wang T, Qiu Z R, Li X H. Absolute zero calibration of four-way laser tracking flexible coordinate system[J]. China Mechanical Engineering, 2008, 19(9): 1051-1054.
|
|
Hu J Z, Yu X F, Ren X, et al. Optimal layout of coordinate measurement system based on laser multilateral method[J]. China Laser, 2014, 41(7): 183-189.
|
[14] |
张画迪. 多边法激光追踪三维坐标测量系统研究[D]. 天津: 天津大学, 2019.
|
[20] |
曹多明, 成英燕, 常春涛, 等. BDS不同卫星选择对相对定位精度的影响研究[J]. 测绘科学, 2022, 47(1): 15-23.
|
[4] |
Nitsche J, Franke M, Haverkamp N, et al. Six-degree-of-freedom pose estimation with μm/urad accuracy based on laser multilateration[J]. Journal of Sensors and Sensor Systems, 2021, 10(1): 19-24.
|
[6] |
林永兵, 张国雄, 李真, 等. 四路激光跟踪三维坐标测量系统最佳布局[J]. 中国激光, 2002, 29(11): 1000-1005.
|
[7] |
Zhang D, Rolt S, Maropoulos P G. Modelling and optimization of novel laser multilateration schemes for high-precision applications[J]. Measurement ence & Technology, 2005, 16(12): 2541.
|
[11] |
吴斌, 许友, 杨峰亭, 等. 激光跟踪绝对测长多边法三维坐标测量系统[J]. 红外与激光工程, 2018, 47(8): 140-145.
|
[12] |
郑继辉, 缪东晶, 李建双, 等. 采用标准长度的激光多边法坐标测量系统标定算法[J]. 计量学报, 2019, 40(1): 64-70.
|
[13] |
孙威, 缪东晶, 李建双, 等. 多边法坐标测量系统中解算方式对测量精度的影响研究[J]. 计量学报, 2021, 42(5): 558-563.
|
|
Li X Y, Lin H, Xue Z, et al. Optimization of laser tracking multilateral measurement calibration[J]. Journal of Instrumentation, 2021, 42(2): 10-17.
|
|
Lin Y B, Li X H, Zhang G X. Optimal solution for self-calibration of 3D coordinate measurement system based on multilateral method[J]. Acta Metrologica Sinica, 2003, 24(3): 166-173.
|
|
Wang J D, Sun R K, Zeng X T, et al. Research on laser tracking multi-station time-sharing measurement base station layout[J]. China Laser, 2018, 45(4): 231-238.
|
[9] |
Aguado S, Santolaria J, Samper D, et al. Influence of measurement noise and laser arrangement on measurement uncertainty of laser tracker multilateration in machine tool volμmetric verification[J]. Precision Engineering, 2013, 37(4): 929-943.
|
[15] |
何俊, 张福民, 张画迪, 等. 基于球心拟合的多边激光跟踪系统标定方法[J]. 红外与激光工程, 2020, 49(8): 133-139.
|
|
Cao D M, Cheng Y Y, Chang C T, et al. Study on the effect of different satellite choices on relative positioning accuracy of BDS [J]. Survey and Mapping Science, 2022, 47(1): 15-23.
|
|
Wu B, Xu Y, Yang F T, et al. Laser tracking absolute length measurement multilateral method 3D coordinate measurement system[J]. Infrared and laser engineering, 2018, 47(8): 140-145.
|
|
Zheng J H, Miao D J, Li J S, et al. Calibration algorithm of laser polygonal method coordinate measurement system using standard length[J]. Acta Metrologica Sinica, 2019, 40(1): 64-70.
|
|
Sun W, Miao D J, Li J S, et al. Study on the influence of the solution method on measurement accuracy in multi-edge method coordinate measurement system[J]. Acta Metrologica Sinica, 2021, 42(5): 558-563.
|
|
He J, Zhang F M, Zhang H D, et al. Calibration method of multilateral laser tracking system based on spherical center fitting[J]. Infrared and Laser Engineering, 2020, 49(8): 133-139.
|
[17] |
林永兵, 李杏华, 张国雄. 基于多边法的三维坐标测量系统自标定最优方案[J]. 计量学报, 2003, 24(3): 166-173.
|
[18] |
王金栋, 孙荣康, 曾晓涛, 等. 激光跟踪多站分时测量基站布局研究[J]. 中国激光, 2018, 45(4): 231-238.
|
[19] |
Skorepa J, Kovar P, Puricer P. PDOP parameters improvement using multi-GNSS and signal retransmission at lunar distances[J]. Advances in Space Research, 2021, 68(9): 3700-3716.
|
|
|
|