• Infrared and Laser Engineering
  • Vol. 53, Issue 2, 20230549 (2024)
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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    DOI: 10.3788/IRLA20230549 Cite this Article
    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 Copy Citation Text show less
    Imaging model of fisheye camera
    Fig. 1. Imaging model of fisheye camera
    Schematic diagram of three axis relationship
    Fig. 2. Schematic diagram of three axis relationship
    Calibration device of collimation measurement fisheye camera
    Fig. 3. Calibration device of collimation measurement fisheye camera
    Coincidence point search method
    Fig. 4. Coincidence point search method
    Radial sampling point distribution
    Fig. 5. Radial sampling point distribution
    Raster sampling point distribution
    Fig. 6. Raster sampling point distribution
    The indication that the optical axis does not coincide with the rolling axis
    Fig. 7. The indication that the optical axis does not coincide with the rolling axis
    Comparison of calibration effects of different methods
    Fig. 8. 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
    Fig. 9. 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
    Fig. 10. Calibration results of proposed method
    Outfield experiment
    Fig. 11. Outfield experiment
    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 1. Model parameters of virtual 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$\text{18}{\text{0} }^{\circ }\left({H}\right)\times \text{18}{\text{0} }^{\circ }\left({V}\right)$
    Table 2. Parameters of fisheye camera
    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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