Optics and Precision Engineering, Volume. 33, Issue 2, 165(2025)

Precision three-dimensional measurement method of telecentric imaging based on calibration parameter correction

Wenjie LI1,2, Wulang LIU1, Beibei WANG1, Yuyuan HUANG1, Guijie LIU1, and Fuquan LI1,3、*
Author Affiliations
  • 1Key Laboratory of Guangxi Manufacturing System and Advanced Manufacturing Technology (School of Mechanical and Electrical Engineering, Guilin University of Electronic Science and Technology ), Guilin54004, China
  • 2Digital Laser Imaging and Display Engineering Research Center of Ministry of Education, Suzhou15006, China
  • 3Guilin Changhai Development Limited Company, Guilin541001, China
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    Figures & Tables(18)
    Non-ideal telecentric optical path analysis
    Flow chart of precision three-dimensional measurement based on telecentric imaging
    Working diagram of monocular telecentric structured light system
    Phase-height model based on telecentric imaging
    Telecentric camera imaging model
    Experimental system equipment
    Determine the 'central plane' according to the image clarity
    Phase error correction
    Fitting of compensation coefficients k1 and k2 with the distance from the center plane
    Definition of each measurement line segment
    Schematic diagram of the calibration plate placement in the three-dimensional reconstruction process
    Measured values before and after the correction of the sytem parameters of each line segment
    Three-dimensional reconstruction of high-precision standard ball schematic diagram of different parts
    Reconstruction of standard sphere point cloud and sphere fitting
    • Table 1. Experimental device parameters

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      Table 1. Experimental device parameters

      TypeParameters
      Industrial cameraEM-200C

      Pixel: 1 600×1 200,

      Pixel size: 4.3 μm×4.3 μm

      Telecentric lensBT-23144

      Magnification k: 0.184,

      Depth of field:10 mm

      ProjectorDLP4500Resolution: 1 280×800
      Lift platformLZ60

      Range:10 mm,

      Precision: 10 μm

    • Table 2. Telecentric camera calibration results

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      Table 2. Telecentric camera calibration results

      Magnification kOrigin(u0v0k10k20p1p2s1s2
      0.177 3(800.01,599.97)10-5×[6.953,-1.149,-1.153,8.386,1.152,-8.392]
    • Table 3. Comparison of line segment measurement error before and after system parameter correction

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      Table 3. Comparison of line segment measurement error before and after system parameter correction

      Position 1Position 2Position 3Position 4
      Fluctuation rangeOriginality0.021 60.028 10.025 10.028 8
      Correction0.003 60.004 80.004 70.004 8
      RMSEOriginality0.007 70.009 30.008 40.009 2
      Correction0.001 10.002 10.001 40.001 8
    • Table 4. Comparison of ball diameter errors of different parts before and after system parameter correction

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      Table 4. Comparison of ball diameter errors of different parts before and after system parameter correction

      Position 1Position 2Position 3Position 4
      Measured valuesOriginality38.053 038.058 038.049 338.053 6
      Correction38.077 138.080 538.076 438.077 2
      Error valuesOriginality0.031 50.026 50.035 20.030 9
      Correction0.007 40.004 00.008 10.007 3
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    Wenjie LI, Wulang LIU, Beibei WANG, Yuyuan HUANG, Guijie LIU, Fuquan LI. Precision three-dimensional measurement method of telecentric imaging based on calibration parameter correction[J]. Optics and Precision Engineering, 2025, 33(2): 165

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    Paper Information

    Category:

    Received: Jun. 24, 2024

    Accepted: --

    Published Online: Apr. 30, 2025

    The Author Email:

    DOI:10.37188/OPE.20253302.0165

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