Laser & Optoelectronics Progress, Volume. 56, Issue 3, 031202(2019)

High-Precision Autonomous Positioning Method of Multi-Camera System Based on Graph Optimization

Bowen Liu, Linghui Yang*, Zhiyuan Niu, Qiuyu Xu, Zhengji Zhang, and Jinwang Wang
Author Affiliations
  • State Key Laboratory of Precision Measurement Technology and Instruments, Tianjin University, Tianjin 300072, China
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    Figures & Tables(8)
    Coordinate mapping model of multi-camera system
    Algorithm flow of graph optimization
    Graph optimization model of multi-camera system
    Multi-camera measuring system. (a) Multi-camera system; (b) high precision linear guide rail
    Experiment environment. (a) Spatial VSTARS control field; (b) actual experiment environment
    Recesstion curve of graph optimization
    • Table 1. Camera external parameter calibration results

      View table

      Table 1. Camera external parameter calibration results

      ParameterControl field(1-2)Turntable(1-2)Error(1-2)Control field(2-3)Turntable(2-3)Error(2-3)
      α /(°)-1.8412-1.7787-0.0625-1.9852-1.7353-0.2499
      β /(°)31.689731.14770.542029.736830.4546-0.7178
      γ /(°)-1.9087-1.7975-0.1112-2.0064-1.9747-0.0317
      Tx /mm-87.9742-88.12840.1542-88.5344-88.45450.0799
      Ty /mm-0.4989-0.3567-0.1422-0.5677-0.3674-0.2003
      Tz /mm-19.1267-19.56700.4403-20.1275-20.42340.2959
    • Table 2. Error analysis of the verifying experiments of linear guide rail

      View table

      Table 2. Error analysis of the verifying experiments of linear guide rail

      Experimentnumber nActual lengthLR /mmEPnP averagelength La /mmAverage EPnPerror Ea /mmG2O averagelength Lb /mmAverage G2Olength Eb /mmAvaragetime T /ms
      1-3200199.190.81200.290.292.83
      4-6200200.720.72200.490.494.04
      7-9400400.950.95599.350.354.05
      10-12400399.300.70400.510.513.24
      13-15600601.051.05600.480.482.97
      16-18600600.750.75599.700.303.23
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    Bowen Liu, Linghui Yang, Zhiyuan Niu, Qiuyu Xu, Zhengji Zhang, Jinwang Wang. High-Precision Autonomous Positioning Method of Multi-Camera System Based on Graph Optimization[J]. Laser & Optoelectronics Progress, 2019, 56(3): 031202

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: May. 22, 2018

    Accepted: Aug. 28, 2018

    Published Online: Jul. 31, 2019

    The Author Email: Yang Linghui (icelinker@tju.edu.cn)

    DOI:10.3788/LOP56.031202

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