Infrared and Laser Engineering, Volume. 51, Issue 12, 20220282(2022)

Mechanical-imaging comprehensive error modeling in line scan vision detection systems

Yuxuan Chen, Zhongjun Qiu, and Junjie Tang
Author Affiliations
  • State Key Laboratory of Precision Measuring Technology & Instrument, Tianjin University, Tianjin 300072, China
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    Figures & Tables(11)
    Structure of the line scan vision detection system
    Topology of the line scan vision detection system
    Diagram of line scan camera imaging
    Line scan vision detection system
    Sensitivity ratio of error sources in each direction
    Measured sensitivity and theoretical plot of ε15y and ε56y as a function of y
    Measured sensitivity and theoretical plot of ε15x and ε56x as a function of x
    • Table 1. Mechanical error sources in the line scan vision detection system

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      Table 1. Mechanical error sources in the line scan vision detection system

      ClassLine errorRotation error
      DirectionxyzABC
      1-2 positionδ12xδ12yδ12zε12xε12yε12z
      2-3 positionδ23xδ23yδ23zε23xε23yε23z
      2-3 motionδ23sxδ23syδ23szε23sxε23syε23sz
      3-4 positionδ34xδ34yδ34zε34xε34yε34z
      1-5 positionδ15xδ15yδ15zε15xε15yε15z
      5-6 positionδ56xδ56yδ56zε56xε56yε56z
    • Table 2. Error sources that affect x-direction image errors and their sensitivity

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      Table 2. Error sources that affect x-direction image errors and their sensitivity

      θiSiθiSi
      δ12x1ε15yz15z12z23z34
      δ23x1ε56yz15+z56z12z23z34
      δ23sx1ε12zy
      δ34x1ε23zy
      δ15x−1ε23szy
      δ56x−1ε34zy
      ε12yz23+z34ε15zy
      ε23yz34ε56zy
      ε23syz34--
    • Table 3. Error sources that affect y-direction image errors and their sensitivity

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      Table 3. Error sources that affect y-direction image errors and their sensitivity

      θiSiθiSi
      δ12yD(y)f/(Lf) ε23syD(y)fxy/(Lf)2
      δ23yD(y)f/(Lf) ε34yD(y)fxy/(Lf)2
      δ23syD(y)f/(Lf) ε12xD(y)(f(z23+z34) /(Lf)−fy2/(Lf)2)
      δ34yD(y)f/(Lf)
      δ15yD(y)f/(Lf) ε23xD(y)(fz34/(Lf) fy2/(Lf)2)
      δ56yD(y)f/(Lf)
      δ12z≈−D(y)fy/(Lf)2ε23sxD(y)(fz34/(Lf) fy2/(Lf)2)
      δ23z≈−D(y)fy/(Lf)2
      δ23sz≈−D(y)fy/(Lf)2ε34x≈−D(y)fy2/(Lf)2
      δ34z≈−D(y)fy/(Lf)2ε15xD(y)(fy2/(Lf)2+f(z15z12z23z34)/(Lf))
      δ15zD(y)fy/(Lf)2
      δ56zD(y)fy/(Lf)2
      ε23szD(y)fx/(Lf) ε56xD(y)(fy2/(Lf)2+fL/(Lf))
      ε34zD(y)fx/(Lf)
    • Table 4. Parameters of the line scan vision detection system

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      Table 4. Parameters of the line scan vision detection system

      ParameterMeaningValue
      z12z-direction distance between body 1 and 2/mm 140
      z23z-direction distance between body 2 and 3/mm 30
      z34z-direction distance between body 3 and 4/mm 0
      z15z-direction distance between body 1 and 5/mm 625
      z56z-direction distance between body 5 and 6/mm −70
      LDistance between the camera and the object/mm385
      fFocal length/mm72
      k1Distortion coefficient/mm8.64×10−3
      Object sizeMaximum size of the object/mm300×300
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    Yuxuan Chen, Zhongjun Qiu, Junjie Tang. Mechanical-imaging comprehensive error modeling in line scan vision detection systems[J]. Infrared and Laser Engineering, 2022, 51(12): 20220282

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    Paper Information

    Category: Photoelectric measurement

    Received: May. 20, 2022

    Accepted: --

    Published Online: Jan. 10, 2023

    The Author Email:

    DOI:10.3788/IRLA20220282

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