Acta Optica Sinica, Volume. 38, Issue 12, 1215010(2018)

Calibration Method of Microscopic Three-Dimensional Digital Image Correlation System Based on Fixed-Point Rotation

Minyang Wu1、*, Jianjun Guo2, and Ming Jiang2、*
Author Affiliations
  • 1 School of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China
  • 2 School of Civil Engineering, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009, China
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    Figures & Tables(22)
    Microscopic three-dimensional digital image correlation system
    Chess board calibration plate
    Fixed-point rotation platform. (a) CAD diagram; (b) physical drawing
    Optical path of stereo microscope
    Relationship between inclination angle and depth of field
    Process of image acquisition of calibration plate. (a) Fixed-point rotation of calibration plate; (b) image acquisition of calibration plate (left CCD)
    Schematic of main point calibration. (a) Calibration images under different magnification; (b) fitting of projection point coordinates
    Main point coordinates for 22 times calibration
    Reprojection errors
    Rotation angle of calibration plate around Z axis when intervals of calibration plate rotation around Z axis are 5°, 10° and 15°, respectively. (a) Left sub optical path; (b) right sub optical path
    Relative translation quantities of left and right sub optical paths. (a) Calibration plate rotating around Z-axis with 5°; (b) calibration plate rotating around Z-axis with 10°
    Overall errors of calibration board under different attitudes
    Influence of attitude number of right CCD on stability of calibration results. (a) Focal length versus attitude number; (b) main point coordinate versus attitude number; (c) radial distortion coefficient versus attitude number; (d) relative error versus attitude number
    Three-dimensional average displacement vector
    Picture of coin
    Coin speckle maps from left and right CCDs. (a) Left CCD; (b) right CCD
    Three-dimensional shape measurement chart of coin
    • Table 1. Depths of field and fields of view under different magnification

      View table

      Table 1. Depths of field and fields of view under different magnification

      Magnification0.811.251.622.53.2455.6
      Field of view x /mm15.713.010.18.16.55.24.03.22.62.3
      Field of view y /mm13.210.98.56.85.44.33.42.72.21.9
      Depth of field /mm2.5201.3800.8810.4900.4340.2440.2000.1290.1000.087
    • Table 2. Internal parameters

      View table

      Table 2. Internal parameters

      CCDfx/pixelfy/pixelu0/pixelv0/pixelk1/10-2
      Left CCD8076.518276.641223.751026.612.8
      Right CCD8071.948276.071224.191024.783.2
      Relative error /%0.0290.0200.1660.1660.530
    • Table 3. Line fitting table

      View table

      Table 3. Line fitting table

      Magnification(3,4)(3,5)(4,4)(4,5)
      x /pixely /pixelx /pixely /pixelx /pixely /pixelx /pixely /pixel
      0.81276.121096.651281.101474.081655.771090.191661.061469.81
      1.01263.611078.291267.421379.601565.051074.771569.101376.05
      1.251253.961065.851256.931306.721494.751063.101497.951303.89
      1.61246.741055.621248.891243.271434.141053.421436.641240.87
      2.01241.041048.461243.021198.271390.511046.681392.601196.32
      2.51236.401043.661238.111165.871358.331042.211359.801164.43
      Line fittingy=1.3004x-564.9919y=7.2x-7789.3y=0.1619x+821.5713y=1.0159x-218.0002
    • Table 4. Internal parameter calibration results of CCD

      View table

      Table 4. Internal parameter calibration results of CCD

      CCDσx/pixelσy/pixelfx/pixelfy/pixelu0/pixelv0/pixel
      Left CCD0.110.1023186.9223189.271225.891023.75
      Right CCD0.110.1023187.5823189.191226.271024.16
    • Table 5. Measurement results for movement in Z direction

      View table

      Table 5. Measurement results for movement in Z direction

      Point No.12345678
      Maximum deviation /μm0.770.530.650.830.70.360.670.71
      Average relative error /%2.62.21.92.13.01.42.02.3
      Mean square error /μm0.490.490.310.270.340.420.230.32
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    Minyang Wu, Jianjun Guo, Ming Jiang. Calibration Method of Microscopic Three-Dimensional Digital Image Correlation System Based on Fixed-Point Rotation[J]. Acta Optica Sinica, 2018, 38(12): 1215010

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    Paper Information

    Category: Machine Vision

    Received: May. 22, 2018

    Accepted: Sep. 10, 2018

    Published Online: May. 10, 2019

    The Author Email:

    DOI:10.3788/AOS201838.1215010

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