Acta Optica Sinica, Volume. 42, Issue 12, 1212003(2022)

Conics and Line Fusion Features Based Calibration of Telephoto Camera

Cong Sun1,2、*, Zhenglei Yang1,2, Mengna Jia3, and Qifeng Yu4
Author Affiliations
  • 1State Key Laboratory of Astronautic Dynamics, Xi′an 710043, Shaanxi, China
  • 2Xian Satellite Control Center, Xi′an 710043, Shaanxi, China
  • 3China Academy of Space Technology (Xi′an), Xi′an 710000, Shaanxi, China
  • 4College of Aeronautics and Astronautics, National University of Defense Technology, Changsha 410073, Hunan, China
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    Figures & Tables(16)
    Imaging model of central perspective projection
    Correlation coefficient between translation component and equivalent focal length of camera varying with focal length. (a) Translation component in x direction; (b) translation component in y direction
    Standard concentric semi-circular cooperative template
    Cooperative concentric semi-elliptical template after projective transformation
    Perspective projection imaging model of 3D lines
    Flow chart of calibration algorithm
    RMS of relative error of calibration parameters of camera (f=20 mm) under different number of calibration views. (a) Fx; (b) Cx
    RMS of relative error of calibration parameters of camera (f=20 mm) under different noise level. (a) Fx; (b) Cx
    RMS of relative error of calibration parameters of camera (f=100 mm) under different number of calibration views. (a) Fx; (b) Cx
    RMS of relative error of calibration parameters of camera (f=100 mm) under different noise level. (a) Fx; (b) Cx
    RMS of relative error of camera calibration parameters under different focal lengths. (a) Fx; (b) Cx
    Detection results of concentric elliptical template
    Typical reconstruction results of stereo telephoto camera plane template. (a) Reconstructed 3D checkerboard points and fitted plane; (b) error distribution of reconstructed plane
    • Table 1. Results of different calibration algorithms under condition of 35 mm focal length

      View table

      Table 1. Results of different calibration algorithms under condition of 35 mm focal length

      MethodZhang’s checkerboradsZhangConCML-RMLNML-RNML
      Cond24.451227.883931.562125.781324.3749
      Fx10201.947910278.15609878.311010277.887310214.9767
      Fy10152.287910237.80889844.576210242.713910163.7846
      Cx1212.24491188.06511239.53271255.45211212.6460
      Cy1071.7819999.12771274.95691057.18321094.4985
      k1-0.2650-0.2380-0.2760-0.2698
      k2-0.9880-2.21530.3085-1.3301
      k30.00460.00400.00410.0050
      k4-0.0022-0.0018-0.0019-0.0028
      RMS /pixel0.18750.20710.20640.1793
    • Table 2. Results of different calibration algorithms under the condition of 75 mm focal length

      View table

      Table 2. Results of different calibration algorithms under the condition of 75 mm focal length

      MethodsZhang’s checkerboradsZhangConCML-RMLNML-RNML
      Cond24352.746526486.369425456.258189.758628.1650
      Fx22506.515920634.814728410.499021131.552620981.3379
      Fy22471.880620544.419228374.508121128.887320867.2976
      Cx1055.55851213.23261693.07021284.21261267.5908
      Cy494.1133467.6265595.6751380.3522428.9498
      k10.28900.23660.04690.1575
      k225.8882-14.4427-3.46988.7873
      RMS /pixel0.15940.16510.16280.1605
    • Table 3. RMS of off-plane displacements reconstructed by output parameters of different calibration methods

      View table

      Table 3. RMS of off-plane displacements reconstructed by output parameters of different calibration methods

      MethodZhang’s checkerboradsZhangRMLRNML
      RMS /mm0.02430.02390.01910.0190
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    Cong Sun, Zhenglei Yang, Mengna Jia, Qifeng Yu. Conics and Line Fusion Features Based Calibration of Telephoto Camera[J]. Acta Optica Sinica, 2022, 42(12): 1212003

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Dec. 6, 2021

    Accepted: Feb. 18, 2022

    Published Online: Jun. 7, 2022

    The Author Email: Sun Cong (suncong@whu.edu.cn)

    DOI:10.3788/AOS202242.1212003

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