Laser & Optoelectronics Progress, Volume. 59, Issue 4, 0412001(2022)

Simulation and Experiment Research on Camera Calibration Based on Absolute Phase Target

Shiyong An1, Jiangping Zhu1,2、*, Hongyu Yang1,2, Pei Zhou1,2, Wenfan Xiao1, and Changhui Zhu2
Author Affiliations
  • 1National Key Laboratory of Fundamental Science on Synthetic Vision, Sichuan University, Chengdu , Sichuan 610065, China
  • 2College of Computer Science, Sichuan University, Chengdu , Sichuan 610065, China
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    Figures & Tables(16)
    Camera imaging model
    Simulation vision system based on absolute phase calibration method
    22 simulated poses in the camera's view
    Part of the simulated images
    Simulated results. (a) Pixel error in u direction; (b) pixel error in v direction
    Absolute error at different noise levels. (a)(d)(g) Absolute error of checkerboard calibration method; (b)(e)(h) absolute error of circle calibration method; (c)(d)(g) absolute error of APT calibration method
    Absolute error at different fuzzy levels. (a)(d)(g) Absolute error of checkerboard calibration method; (b)(e)(h) absolute error of circle calibration method; (c)(d)(g) absolute error of APT calibration method
    APT experimental device
    Part calibration images and part feature points. (a)(c)(e) In-focus images; (b)(d)(f) out-of-focus images
    Target poses in the camera's view. (a) 16 poses under in-focus condition; (b) 14 poses under out-of-focus condition
    Re-projection errors of three calibration methods under in-focus condition. (a) Checkerboard calibration method; (b) circle calibration method; (c) APT calibration method
    Re-projection errors of three calibration methods when the target is far away from the effective working distance of the camera. (a) Checkerboard calibration method; (b) circle calibration method; (c) APT calibration method
    Column charts of world coordinate difference before and after optimization. (a)(d) Checkerboard calibration method under in-focus condition and out-of-focus condition; (b)(e) circle calibration method under in-focus condition and out-of-focus condition; (c)(f) APT calibration method under in-focus condition and out-of-focus condition
    • Table 1. Systematic errors of visual simulation system and calibration software

      View table

      Table 1. Systematic errors of visual simulation system and calibration software

      Parameterfu /pixelfv /pixelu0 /pixelv0 /pixeltx /mmty /mmtz/mm
      Ground truth14551455102454000650
      Absolute error0.00360.00370.00030.000560.034770.027850.0283
    • Table 2. Calibration results of the camera

      View table

      Table 2. Calibration results of the camera

      ParameterCheckerboardCircleAPT
      fu /pixel2605.922606.922603.82
      fv /pixel2606.032607.112603.74
      u0 /pixel648.82647.13648.38
      v0 /pixel511.21510.75511.68
      k1-0.03199-0.04702-0.05360
      k20.013090.46870.58223
      p10.000440.000160.00021
      p20.000860.000620.00085
      tx0.029010.0731780.10481
      ty3.849723.137283.87875
      tz1001.606221094.466711095.71075
      θx0.028980.068270.02897
      θy0.043195-0.454060.04366
      θz-0.0032190.047016-0.003272
      Re-project_error /pixel0.033660.028400.02262
    • Table 3. Calibration results when the target is far away from the effective working distance of the camera

      View table

      Table 3. Calibration results when the target is far away from the effective working distance of the camera

      ParameterCheckerboardCircleAPT
      fu /pixel2650.702637.382641.39
      fv /pixel2649.462636.902640.65
      u0 /pixel627.04624.25622.55
      v0 /pixel501.50502.06505.19
      k1-0.06195-0.00610-0.04133
      k20.86519-0.192450.17647
      p10.000300.000270.00014
      p20.00211-0.00137-0.00202
      tx5.760056.699445.47052
      ty-24.34501-24.12537-23.96307
      tz1305.403171303.117041301.76072
      θx-0.00512-0.0027632-0.12287
      θy0.0810870.079357-0.00606
      θz0.00298410.00285010.0028776
      Re-project_error /pixel0.046410.033710.01393
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    Shiyong An, Jiangping Zhu, Hongyu Yang, Pei Zhou, Wenfan Xiao, Changhui Zhu. Simulation and Experiment Research on Camera Calibration Based on Absolute Phase Target[J]. Laser & Optoelectronics Progress, 2022, 59(4): 0412001

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Mar. 1, 2021

    Accepted: Mar. 23, 2021

    Published Online: Feb. 15, 2022

    The Author Email: Jiangping Zhu (zjp16@scu.edu.cn)

    DOI:10.3788/LOP202259.0412001

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