Laser & Optoelectronics Progress, Volume. 55, Issue 6, 061204(2018)

Calibration of System Parameters Based on Direct Phase Measuring Deflectometry

Xiaoting Deng, Nan Gao, and Zonghua Zhang*
Author Affiliations
  • School of Mechanical Engineering, Heibei University of Technology, Tianjin 300130, China
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    Figures & Tables(13)
    Schematic of the measuring system
    Images of hollow ring marker matrix captured by the camera. (a) Texture image; (b) red dots representing the center of each hollow ring marker
    Fringe patterns displayed on the screen. (a) Horizontal fringe; (b) vertical fringe
    Feature points matching using absolute phase image
    Calibration of parameters d1 and d2
    Experimental system
    Reprojection error of the calibrated camera (pixel)
    Error of the calibrated extrinsic parameters
    Photos of (a) concave mirror and (b) manufactured artificial step
    Measured 3D shapes. (a) Concave mirror; (b) artificial specular step
    • Table 1. Calibrated internal parameters of the camera

      View table

      Table 1. Calibrated internal parameters of the camera

      Focal length /pixelRadial distortion/pixelTangential distortion
      FuFvPuPvK1K2K3K4
      10137.45210137.8111204.7831011.174-0.2712-1.8758-0.00020.0003
    • Table 2. Results of LCD's extrinsic parameters using checkerboard and fringe patternsmm

      View table

      Table 2. Results of LCD's extrinsic parameters using checkerboard and fringe patternsmm

      Step distanceCalculated distance 1Calculated distance 2
      1010.0589.915
      2019.92319.880
      3030.12230.172
      4040.15440.194
      5049.78949.758
      6060.29460.246
      7070.31470.288
      8080.46880.327
      9089.45489.606
      10099.34299.558
    • Table 3. True and measured distances of the artificial specular step and their errorsmm

      View table

      Table 3. True and measured distances of the artificial specular step and their errorsmm

      ActualdistanceMeasureddistanceAbsoluteerrorRoot meansquare error
      3.9873.9690.0180.022
      7.0257.0100.0150.019
      5.0065.0280.0220.024
      6.0996.1200.0210.020
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    Xiaoting Deng, Nan Gao, Zonghua Zhang. Calibration of System Parameters Based on Direct Phase Measuring Deflectometry[J]. Laser & Optoelectronics Progress, 2018, 55(6): 061204

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Oct. 8, 2017

    Accepted: --

    Published Online: Sep. 11, 2018

    The Author Email: Zhang Zonghua (zhzhang@hebut.edu.cn)

    DOI:10.3788/LOP55.061204

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