Infrared and Laser Engineering, Volume. 53, Issue 2, 20230549(2024)

Calibration method of fisheye camera for high-precision collimation measurement

Kun Xiong, Xuran He*, Chunxi Wang, Jiabin Li, and Changhao Yang
Author Affiliations
  • Beijing Aerospace Institute for Metrology and Measurement Technology, Beijing 100076, China
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    Figures & Tables(13)
    Imaging model of fisheye camera
    Schematic diagram of three axis relationship
    Calibration device of collimation measurement fisheye camera
    Coincidence point search method
    Radial sampling point distribution
    Raster sampling point distribution
    The indication that the optical axis does not coincide with the rolling axis
    Comparison of calibration effects of different methods
    Calibration error distribution of 4 classical camera model. (a) Stereographic projection model calibration error distribution; (b) Orthogonal projection model calibration error distribution; (c) Equisolid projection model calibration error distribution; (d) Equidistance projection model calibration error distribution
    Calibration results of proposed method
    Outfield experiment
    • Table 1. Model parameters of virtual fisheye camera

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      Table 1. Model parameters of virtual fisheye camera

      Reference projection relationshipEquidistance projectionEquisolid projectionStereographic projectionOrthogonal projection
      FOV160°160°160°160°
      Focal length3.824.114.063.94
      Image size/pixel2 048(H)2 048(V)2 048(H)2 048(V)2 048(H)2 048(V)2 048(H)2 048(V)
      Principal point coordinate1015.33(H)992.64(V)1037.58(H)1019.23(V)1023.04(H)1023.59(V)1020.98(H)1029.30(V)
      First order tangential distortion parameter$ 6.37\times 1{0}^{-5} $$ 3.64\times 1{0}^{-5} $$ -2.71\times 1{0}^{-5} $$ 4.19\times 1{0}^{-5} $
      Second order tangential distortion parameter$ 4.49\times 1{0}^{-6} $$ -1.54\times 1{0}^{-5} $$ 9.44\times 1{0}^{-6} $$ 1.02\times 1{0}^{-5} $
    • Table 2. Parameters of fisheye camera

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      Table 2. Parameters of fisheye camera

      ProcessorXC7Z035
      Image sensorGSENSE2020BSI
      Image format12 bit gray
      Image size/pixel${2\;048}\left({H}\right)\times {2\;048}\left({ { {V} } }\right)$
      Pixel size$6.5\;\text{μ}\text{m}\times 6.5\;\text{μ}\text{m}$
      Lens FOV210°
      Equivalent focal length$\text{4 mm }$
      Camera FOV$\text{18}{\text{0} }^{\circ }\left({H}\right)\times \text{18}{\text{0} }^{\circ }\left({V}\right)$
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    Kun Xiong, Xuran He, Chunxi Wang, Jiabin Li, Changhao Yang. Calibration method of fisheye camera for high-precision collimation measurement[J]. Infrared and Laser Engineering, 2024, 53(2): 20230549

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    Paper Information

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    Received: Sep. 25, 2023

    Accepted: Nov. 1, 2023

    Published Online: Mar. 27, 2024

    The Author Email: He Xuran (15634328975@126.com)

    DOI:10.3788/IRLA20230549

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