• Acta Optica Sinica
  • Vol. 42, Issue 12, 1212003 (2022)
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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    DOI: 10.3788/AOS202242.1212003 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Imaging model of central perspective projection
    Fig. 1. 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
    Fig. 2. 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
    Fig. 3. Standard concentric semi-circular cooperative template
    Cooperative concentric semi-elliptical template after projective transformation
    Fig. 4. Cooperative concentric semi-elliptical template after projective transformation
    Perspective projection imaging model of 3D lines
    Fig. 5. Perspective projection imaging model of 3D lines
    Flow chart of calibration algorithm
    Fig. 6. 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
    Fig. 7. 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
    Fig. 8. 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
    Fig. 9. 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
    Fig. 10. 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
    Fig. 11. RMS of relative error of camera calibration parameters under different focal lengths. (a) Fx; (b) Cx
    Detection results of concentric elliptical template
    Fig. 12. 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
    Fig. 13. Typical reconstruction results of stereo telephoto camera plane template. (a) Reconstructed 3D checkerboard points and fitted plane; (b) error distribution of reconstructed plane
    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 1. Results of different calibration algorithms under condition of 35 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 2. Results of different calibration algorithms under the condition of 75 mm focal length
    MethodZhang’s checkerboradsZhangRMLRNML
    RMS /mm0.02430.02390.01910.0190
    Table 3. RMS of off-plane displacements reconstructed by output parameters of different calibration methods
    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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