• Chinese Journal of Lasers
  • Vol. 47, Issue 1, 0110003 (2020)
Hongxia Cui1、2、*, Lijun Chen2, Ning Wang2、**, and Tingting Li2
Author Affiliations
  • 1College of Information Engineering, Zhejiang A&F University, Lin'an, Zhejiang 311300, China;
  • 2College of Information Science and Technology, Bohai University, Jinzhou, Liaoning 121013, China
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    DOI: 10.3788/CJL202047.0110003 Cite this Article Set citation alerts
    Hongxia Cui, Lijun Chen, Ning Wang, Tingting Li. Calibration Method with Implicit Constraints for Multi-View Combined Camera Using Automatic Coding of Marker Points[J]. Chinese Journal of Lasers, 2020, 47(1): 0110003 Copy Citation Text show less
    Target calibration field and self-coding marker
    Fig. 1. Target calibration field and self-coding marker
    Automatic coding of marker. (a) Automatic coding of internal code for self-coding marker; (b) automatic coding of external code in target calibration field
    Fig. 2. Automatic coding of marker. (a) Automatic coding of internal code for self-coding marker; (b) automatic coding of external code in target calibration field
    Geometrical structure of combined camera
    Fig. 3. Geometrical structure of combined camera
    Automatic coding of markers
    Fig. 4. Automatic coding of markers
    Relative orientation elements among cameras. (a) Relative position elements for cameras 1 and 2; (b) relative position elements for cameras 2 and 3; (c) relative position elements for cameras 3 and 4; (d) relative linear elements for cameras 4 and 5; (e) relative angular elements for cameras 1 and 2; (f) relative angular elements for cameras 2 and 3; (g) relative angular elements for cameras 3 and 4; (h) relative angular elements for cameras 4 and 5
    Fig. 5. Relative orientation elements among cameras. (a) Relative position elements for cameras 1 and 2; (b) relative position elements for cameras 2 and 3; (c) relative position elements for cameras 3 and 4; (d) relative linear elements for cameras 4 and 5; (e) relative angular elements for cameras 1 and 2; (f) relative angular elements for cameras 2 and 3; (g) relative angular elements for cameras 3 and 4; (h) relative angular elements for cameras 4 and 5
    Internal codeExternal code
    0000000001
    0000010004
    1111114020
    Table 1. Internal and external codes for coding markers
    xD1yD1α /(°)
    xD1=x0yD1090
    yD1>y0270
    yD10-arctan(yD1-y0)(xD1-x0)-1
    xD1>x0yD1>y0360-arctan(yD1-y0)(xD1-x0)-1
    yD1=y00
    yD10180+arctan(yD1-y0)(xD1-x0)-1
    xD10yD1>y0180+arctan(yD1-y0)(xD1-x0)-1
    yD1=y0180
    Table 2. Calculation of rotation angle α
    Camera numberRMS x /μmRMS y /μmRMS xy /μmRMS X /mmRMS Y /mmRMS Z /mm
    10.2480.0710.2580.6490.3792.356
    20.3740.4380.5760.4610.1261.093
    30.0990.1030.1430.9040.4812.159
    40.3290.5680.6561.3570.1472.173
    50.3340.1660.3730.3220.4961.392
    Table 3. Root-mean-square error of checking points by method A
    Camera numberRMS x /μmRMS y /μmRMS xy /μmRMS X /mmRMS Y /mmRMS Z /mm
    10.2780.1760.3290.7290.2412.116
    20.2020.4420.4861.1410.5991.522
    30.1620.1540.2240.9490.1161.858
    40.4380.3360.5521.0110.7062.102
    50.3600.4020.5400.9270.0681.612
    Table 4. Root-mean-square error of checking points by method B
    Hongxia Cui, Lijun Chen, Ning Wang, Tingting Li. Calibration Method with Implicit Constraints for Multi-View Combined Camera Using Automatic Coding of Marker Points[J]. Chinese Journal of Lasers, 2020, 47(1): 0110003
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