Laser & Optoelectronics Progress, Volume. 57, Issue 5, 051202(2020)

Calibration Method for Stereo Phase Measuring Deflectometry System

Fangming Liu, Jiarui Lin, Yanbiao Sun, and Jigui Zhu*
Author Affiliations
  • State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China
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    Figures & Tables(14)
    Schematic of stereo phase measuring deflectometry system
    Camera matching principle of stereo phase measuring deflectometry
    Schematic of transformation relationships among different coordinate systems
    Coordinate calibration for retro-reflectors in screen coordinate system
    Schematic of posture calibration of screen and camera
    Experimental setup diagram of coordinate calibration of retro-reflectors
    Picture of system calibration
    Picture of measurement experiment
    Surface reconstruction results of gauge blocks
    Reconstruction flatness of gauge block surfaces
    Picture of mirror to be measured
    Measurement results of mirror. (a) Result of mirror surface reconstruction; (b) result of surface flatness error
    • Table 1. Calibration results of intrinsic parameters of cameras

      View table

      Table 1. Calibration results of intrinsic parameters of cameras

      ParameterCamera 1Camera 2
      Focal length (fx, fy) /pixel(5596.57, 5596.34)(5591.55, 5591.95)
      Principal point coordinate /pixel(994.89, 1046.91)(1014.24, 999.845)
      Radial distortion /pixel(-0.04581, -0.1153)(-0.04481, -0.1212)
      Tangential distortion /pixel(-2.217×10-7, -3.122×10-4)(0.0001418, 0.0001599)
      Back-projection error /pixel0.0840.083
    • Table 2. Coordinates of retro-reflectors in screen coordinate system

      View table

      Table 2. Coordinates of retro-reflectors in screen coordinate system

      Target pointx/mmy/mmz/mm
      Point 1-257.4249144.48590.9548
      Point 2-64.1152144.03921.2618
      Point 377.9880143.85100.9720
      Point 4261.7679145.00590.5220
      Point 5-254.9611-144.73640.8096
      Point 6-83.1235-144.43721.0634
      Point 797.9883-143.09921.0906
      Point 8258.8036-144.23480.9420
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    Fangming Liu, Jiarui Lin, Yanbiao Sun, Jigui Zhu. Calibration Method for Stereo Phase Measuring Deflectometry System[J]. Laser & Optoelectronics Progress, 2020, 57(5): 051202

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Aug. 14, 2019

    Accepted: Aug. 28, 2019

    Published Online: Mar. 5, 2020

    The Author Email: Jigui Zhu (jiguizhu@tju.edu.cn)

    DOI:10.3788/LOP57.051202

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