Chinese Journal of Lasers, Volume. 52, Issue 10, 1004002(2025)

Calibration Method of Fringe Projection Based on High‑Order Polynomial

Qinghui Zhang1, Tingting Huang1, Lei Lü2、*, Wei Pan3, and Wanxing Zheng1
Author Affiliations
  • 1School of Information Science and Engineering, Henan University of Technology, Zhengzhou 450001, Henan , China
  • 2Institute for Complexity Science, Henan University of Technology, Zhengzhou 450001, Henan , China
  • 3Guangdong Optronics Technology Co., Ltd., Dongguan 523860, Guangdong , China
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    Figures & Tables(12)
    Experimental system setup
    Calibration plate patterns. (a) Circular calibration plate; (b) calibration plate with stripe pattern; (c) selection of feature points on image plane of calibration plate
    Schematic diagram of position of calibration plate
    Error varying with number of iterations
    Standard objects. (a) Standard steps; (b) ceramic standard ball
    Step 3D topographies. (a) Step 3D topography recovered by LSM; (b) step 3D topography recovered by LSM (simplified);
    Fitted spherical color error plots. (a) Spherical color error plot fitted by LSM; (b) spherical color error plot fitted by LSM (simplified); (c) spherical color error plot fitted by SGRK; (d) spherical color error plot fitted by SGRK (simplified)
    Fitted spherical color error plots. (a) Spherical color error plot fitted by LSM (3rd order); (b) spherical color error plot fitted by LSM (5th order); (c) spherical color error plot fitted by SGRK (3rd order); (d) spherical color error plot fitted by SGRK (5th order)
    Ceramic doll reconstruction images. (a) Ceramic doll; (b) doll reconstructed by LSM; (c) doll reconstructed by SGRK
    • Table 1. Comparison of geometric deviations of step measurements

      View table

      Table 1. Comparison of geometric deviations of step measurements

      MethodLSMLSM (simplified)SGRKSGRK (simplified)
      Time /s4.323.051.781.52
      True value /mm20.00320.00120.00320.00120.00320.00120.00320.001
      Measured value 1 /mm20.01120.02720.00219.97220.01519.99120.00720.012
      Measured value 2 /mm20.00119.98220.02920.02720.00720.01619.98819.995
      Measured value 3 /mm20.02520.01219.93719.97419.99919.98819.99920.008
      Average error /mm0.0090.006-0.014-0.0100.004-0.003-0.0050.004
    • Table 2. Comparison of geometric deviations of standard ceramic balls

      View table

      Table 2. Comparison of geometric deviations of standard ceramic balls

      MethodLSMLSM (simplified)SGRKSGRK (simplified)
      True value /mm25.000125.000125.000125.0001
      Fitted diameter /mm25.072824.906925.023324.9552
      Diameter deviation /mm0.07270.09320.02320.0449
      Time /s3.963.171.631.17
    • Table 3. Comparison of geometric deviations of standard ceramic balls

      View table

      Table 3. Comparison of geometric deviations of standard ceramic balls

      Method

      LSM

      (3-step)

      LSM

      (5-step)

      SGRK

      (3-step)

      SGRK

      (5-step)

      True value /mm25.000125.000125.000125.0001
      Fitted diameter /mm25.147124.960125.055024.9824
      Diameter deviation /mm0.14700.04000.05490.0177
      Time /s3.046.151.022.31
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    Qinghui Zhang, Tingting Huang, Lei Lü, Wei Pan, Wanxing Zheng. Calibration Method of Fringe Projection Based on High‑Order Polynomial[J]. Chinese Journal of Lasers, 2025, 52(10): 1004002

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    Paper Information

    Category: Measurement and metrology

    Received: Oct. 17, 2024

    Accepted: Jan. 13, 2025

    Published Online: May. 7, 2025

    The Author Email: Lei Lü (lulei@haut.edu.cn)

    DOI:10.3788/CJL241279

    CSTR:32183.14.CJL241279

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