• Acta Optica Sinica
  • Vol. 39, Issue 1, 0115001 (2019)
Qiuyu Xu*, Linghui Yang*, Zhiyuan Niu, Bowen Liu, Zhengji Zhang, and Jigui Zhu
Author Affiliations
  • National Key Laboratory of Precision Testing Techniques and Instrument, College of Precision Instrument and Optoelectronic Engineering, Tianjin University, Tianjin 300072, China
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    DOI: 10.3788/AOS201939.0115001 Cite this Article Set citation alerts
    Qiuyu Xu, Linghui Yang, Zhiyuan Niu, Bowen Liu, Zhengji Zhang, Jigui Zhu. High-Accuracy Calibration of Multi-Camera Positioning System Based on Precision Angle Reference[J]. Acta Optica Sinica, 2019, 39(1): 0115001 Copy Citation Text show less
    Multi-camera system projection mapping model
    Fig. 1. Multi-camera system projection mapping model
    Multi-camera system calibration model based on two-axis turntable
    Fig. 2. Multi-camera system calibration model based on two-axis turntable
    Schematic of multi-camera system calibration experiment. (a) Turntable calibration experiment; (b) calibration experiment of precision control field in large space
    Fig. 3. Schematic of multi-camera system calibration experiment. (a) Turntable calibration experiment; (b) calibration experiment of precision control field in large space
    Reprojection error distributions of internal parameters of cameras. (a) Camera 1; (b) camera 2
    Fig. 4. Reprojection error distributions of internal parameters of cameras. (a) Camera 1; (b) camera 2
    ParameterCamera 1Camera 2
    f /mm3.76653.8045
    u0 /pixel923.5320948.7576
    v0 /pixel510.6671519.3200
    k1-0.4059-0.4074
    k20.23690.2401
    k3-0.0906-0.0944
    p1-2.8159×10-40
    p2-2.2624×10-40
    Average reprojection error /pixel0.17000.1598
    Table 1. Calibration results of internal parameters of cameras
    RT (camera 2 to camera 1)Control fieldTurntable
    α /(°)-2.0212-1.8867
    β /(°)30.738831.1378
    γ /(°)-1.9993-1.8957
    Tx /mm-87.9472-88.2148
    Ty /mm-0.5636-0.3486
    Tz /mm-19.2366-19.6598
    Table 2. Calibration results of external parameters of cameras
    No.Control fieldError 1 /mmTurntableError 2 /mm
    1201.33031.3303200.23010.2301
    2399.4483-0.5517400.64720.6472
    3600.53410.5341599.3791-0.6209
    4801.60921.6092799.8802-0.1198
    51002.03242.03241000.98610.9861
    Table 3. Multi-camera system positioning accuracy
    Qiuyu Xu, Linghui Yang, Zhiyuan Niu, Bowen Liu, Zhengji Zhang, Jigui Zhu. High-Accuracy Calibration of Multi-Camera Positioning System Based on Precision Angle Reference[J]. Acta Optica Sinica, 2019, 39(1): 0115001
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