• Infrared and Laser Engineering
  • Vol. 49, Issue 8, 20190438 (2020)
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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    DOI: 10.3788/IRLA20190438 Cite this Article
    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 Copy Citation Text show less
    Self-calibrated layout of four-station
    Fig. 1. Self-calibrated layout of four-station
    Design drawing and physical drawing of the fixture
    Fig. 2. Design drawing and physical drawing of the fixture
    Construction of spherical center fitting self-calibration system for four-station model using two laser trackers
    Fig. 3. Construction of spherical center fitting self-calibration system for four-station model using two laser trackers
    Position error of original point
    Fig. 4. Position error of original point
    Schematic of self-calibration and fixture connection
    Fig. 5. Schematic of self-calibration and fixture connection
    Spherical center fitting
    Fig. 6. Spherical center fitting
    Scale bar to be measured
    Fig. 7. Scale bar to be measured
    Influence of original point error on measurement result
    Fig. 8. Influence of original point error on measurement result
    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 1.

    Spherical center fitting data and result

    球心拟合数据及结果

    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 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 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
    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

    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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