• Laser & Optoelectronics Progress
  • Vol. 57, Issue 5, 051202 (2020)
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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    DOI: 10.3788/LOP57.051202 Cite this Article Set citation alerts
    Fangming Liu, Jiarui Lin, Yanbiao Sun, Jigui Zhu. Calibration Method for Stereo Phase Measuring Deflectometry System[J]. Laser & Optoelectronics Progress, 2020, 57(5): 051202 Copy Citation Text show less
    Schematic of stereo phase measuring deflectometry system
    Fig. 1. Schematic of stereo phase measuring deflectometry system
    Camera matching principle of stereo phase measuring deflectometry
    Fig. 2. Camera matching principle of stereo phase measuring deflectometry
    Schematic of transformation relationships among different coordinate systems
    Fig. 3. Schematic of transformation relationships among different coordinate systems
    Coordinate calibration for retro-reflectors in screen coordinate system
    Fig. 4. Coordinate calibration for retro-reflectors in screen coordinate system
    Schematic of posture calibration of screen and camera
    Fig. 5. Schematic of posture calibration of screen and camera
    Experimental setup diagram of coordinate calibration of retro-reflectors
    Fig. 6. Experimental setup diagram of coordinate calibration of retro-reflectors
    Picture of system calibration
    Fig. 7. Picture of system calibration
    Picture of measurement experiment
    Fig. 8. Picture of measurement experiment
    Surface reconstruction results of gauge blocks
    Fig. 9. Surface reconstruction results of gauge blocks
    Reconstruction flatness of gauge block surfaces
    Fig. 10. Reconstruction flatness of gauge block surfaces
    Picture of mirror to be measured
    Fig. 11. Picture of mirror to be measured
    Measurement results of mirror. (a) Result of mirror surface reconstruction; (b) result of surface flatness error
    Fig. 12. Measurement results of mirror. (a) Result of mirror surface reconstruction; (b) result of surface flatness error
    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 1. Calibration results of intrinsic parameters of cameras
    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
    Table 2. Coordinates of retro-reflectors in screen coordinate system
    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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