Infrared and Laser Engineering, Volume. 49, Issue 8, 20190438(2020)

Multilateral laser tracking system self-calibration method based on spherical center fitting

Jun He, Fumin Zhang, Huadi Zhang, and Xinghua Qu
Author Affiliations
  • State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China
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    Figures & Tables(11)
    Self-calibrated layout of four-station
    Design drawing and physical drawing of the fixture
    Construction of spherical center fitting self-calibration system for four-station model using two laser trackers
    Position error of original point
    Schematic of self-calibration and fixture connection
    Spherical center fitting
    Scale bar to be measured
    Influence of original point error on measurement result
    • Table 1.

      Spherical center fitting data and result

      球心拟合数据及结果

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      Table 1.

      Spherical center fitting data and result

      球心拟合数据及结果

      PositionPosition 1Position 2Position 3
      Number of points1 0001 0001 000
      Common difference/mm0.0200.0200.020
      Number of effective point646617469
      Spherical center coordinate/mmXYZXYZXYZ
      –2 212.401–952.396–29.726–3 132.017–1 866.354–33.046–4 084.727–4 692.426–151.759
      Radius/mm134.669134.662134.526
    • Table 2.

      Comparison of scale bar length measured by four-station multilateral method and single station

      四站模型多边法与单站测得标准尺长度比较

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      Table 2.

      Comparison of scale bar length measured by four-station multilateral method and single station

      四站模型多边法与单站测得标准尺长度比较

      Point 1Point 2Length /mmAbsolute value of difference/μm
      X/mm Y/mm Z/mm X/mm Y/mm Z/mm
      Original point tracker–15 546.039–15 248.192–649.910–14 824.764–15 942.233–659.2551 001.00865
      Moving station tracker 117 834.335–7 998.228–672.21818 258.769–7 091.881–664.5881 000.833110
      Moving station tracker 2–1 628.084–18 162.704–1 013.202–633.001–18 269.683–1 029.4401 000.9496
      Moving station tracker 3–9 217.2173–12 558.486–580.287–8 375.950–13 100.796–594.3291 001.01370
      Multilateral20 315.7557 843.199–586.98719 928.0308 764.959–630.09411 000.91528
    • Table 3.

      Comparison of scale bar length measured by three-station multilateral method and single station

      三站模型多边法与单站测得标准尺长度比较

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      Table 3.

      Comparison of scale bar length measured by three-station multilateral method and single station

      三站模型多边法与单站测得标准尺长度比较

      Point 1Point 2Length/mmAbsolute value of difference/μm
      X/mm Y/mm Z/mm X/mm Y/mm Z/mm
      Original point tracker4 869.885 909.79–451.915 284.895 034.15–439.30969.164119
      Moving station tracker 14 869.825 909.84–452.025 284.765 034.17–439.39969.09550
      Moving station tracker 24 869.775 909.93–452.015 284.815 034.32–439.41969.07631
      Multilateral5 507.68–5 324.49–400.974 601.88–5 668.67–393.14969.02421
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    Jun He, Fumin Zhang, Huadi Zhang, Xinghua Qu. Multilateral laser tracking system self-calibration method based on spherical center fitting[J]. Infrared and Laser Engineering, 2020, 49(8): 20190438

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    Paper Information

    Category: 光电测量

    Received: Nov. 20, 2019

    Accepted: --

    Published Online: Dec. 31, 2020

    The Author Email:

    DOI:10.3788/IRLA20190438

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