Acta Optica Sinica, Volume. 41, Issue 24, 2415001(2021)

Calibration of Two-Camera Vision System with Far and Near Sight Distance

Shifeng Shi, Nan Ye*, and Liyan Zhang
Author Affiliations
  • College of Mechanical & Electrical Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu 210016, China
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    Figures & Tables(17)
    System structure
    Three steps for determining the sub-pixel edge. (a) Calculating image gray gradient; (b) sampling along the gray gradient direction; (c) gray gradient amplitude curve fitting
    Edge comparison. (a) Ellipse image; (b) pixel edge; (c) sub-pixel edge
    Point-array coded target. (a) Point-array coded target template; (b)(c) images of point-array coded target from different perspectives
    Algorithm pseudo code
    Point-array coded target matching. (a)(b) Images of point-array coded targets in different perspectives
    Incremental SfM reconstruction
    Experimental device
    Images captured by two-camera vision system
    Error of extrinsic parameters when rotation and translation components optimize simultaneously. (a) Angle error; (b) position error; (c) reprojection root-mean-squared error
    Error of extrinsic parameters when only translation component optimizes. (a) Position error; (b) reprojection root-mean-squared error
    Error of fifteen calibration experiments. (a) Angle error; (b) position error; (c) reprojection root-mean-squared error
    Vision-based robotic arm system
    Schematic of experiment procedure. (a) Expected pose; (b) initial poses; (c) actual poses
    Positioning error of vision system. (a) Angle error; (b) position error
    • Table 1. Comparison of measured distance and evaluation distance

      View table

      Table 1. Comparison of measured distance and evaluation distance

      No.Pixel edgeSub-pixel edge(proposed algorithm)
      Reconstructeddistance /mmError /mmReconstructeddistance /mmError /mm
      1695.3470.040695.3150.008
      2695.3480.041695.3160.009
      3695.268-0.039695.298-0.009
      4695.265-0.042695.294-0.013
      5695.3460.039695.3170.010
    • Table 2. Camera intrinsic parameters

      View table

      Table 2. Camera intrinsic parameters

      Intrinsic parameterGlobal cameraPartial camera
      (α,β)(1753.089, 1753.089)(2358.690, 2358.690)
      (u0,v0)(1219.075, 1051.850)(1256.748, 1063.047)
      (k1,k2)(-0.201, 0.218)(-0.114, 0.182)
      (p1,p2)(0.000624, -0.000826)(0.000295, 0.000240)
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    Shifeng Shi, Nan Ye, Liyan Zhang. Calibration of Two-Camera Vision System with Far and Near Sight Distance[J]. Acta Optica Sinica, 2021, 41(24): 2415001

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    Paper Information

    Category: Machine Vision

    Received: May. 27, 2021

    Accepted: Jun. 28, 2021

    Published Online: Nov. 30, 2021

    The Author Email: Ye Nan (yen@nuaa.edu.cn)

    DOI:10.3788/AOS202141.2415001

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