Acta Optica Sinica, Volume. 43, Issue 4, 0412002(2023)

Calibration of Telephoto Camera Based on Affine Approximation Projection Model

Cong Sun1、*, Yan Ma1、aff, Guolong Zhang1、aff, Yi Gao1、aff, and Qifeng Yu2、aff
Author Affiliations
  • 1State Key Laboratory of Astronautic Dynamics, Xi'an Satellite Control Center, Xi'an 710043, Shaanxi, China
  • 2College of Aeronautics and Astronautics, National University of Defense Technology, Changsha 410073, Hunan, China
  • show less
    Figures & Tables(12)
    Schematic of affine approximate projection model and perspective projection model
    Schematic of pose ambiguity of planar object associated with weak perspective projection
    Schematic of concentric semi-circular template attached with a cylindrical control point
    Relative error of calibration parameters of the camera (focal length f =20 mm) under different number of calibration views. (a) Fx; (b) Cx
    Relative error of calibration parameters of the camera (f =20 mm) under different levels of image noise. (a) Fx; (b) Cx
    Relative error of calibration parameters of the camera (f =100 mm) under different number of calibration views. (a) Fx; (b) Cx
    Relative error of calibration parameters of the camera (f =100 mm) under different levels of image noise. (a) Fx; (b) Cx
    Relative error of camera calibration parameters under different focal lengths. (a) Fx; (b) Cx
    Concentric semi-circular template attached with a cylindrical control point and typical detection result. (a) Concentric semi-circular template; (b) typical detection result
    Planar template reconstruction results corresponding to output parameters of different calibration methods. (a) 3D checkerboard points and fitting plane reconstructed by Weak method; (b) plane error of reconstruction by Weak method; (c) 3D checkerboard points and fitting plane reconstructed by Para method; (d) plane error of reconstruction by Para method
    • Table 1. Results of different calibration algorithms under the condition of 35 mm focal length

      View table

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

      AlgorithmRMLRNMLWeakPara
      Fx10277.887310214.976710290.871910292.5128
      Fy10242.713910163.784610250.575510251.0925
      Cx1255.45211212.64601182.35681176.7746
      Cy1057.18321094.4985968.7576958.7477
      k1-0.2760-0.2698-0.2258-0.2301
      k20.3085-1.3301-2.3280-2.1748
      k30.00410.00500.00290.0029
      k4-0.0019-0.0028-0.0026-0.0024
      RMS /pixel0.20640.17930.22740.2213
    • 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

      AlgorithmRMLRNMLWeakPara
      Fx21131.552620981.337921918.107520466.8844
      Fy21128.887320867.297621918.101820455.7080
      Cx1284.21261267.59081227.96271433.7827
      Cy380.3522428.94981028.4783771.4236
      k10.04690.15750.6160-0.1122
      k2-3.46988.78730.00841.0836
      RMS /pixel0.16280.16050.16440.1608
    Tools

    Get Citation

    Copy Citation Text

    Cong Sun, Yan Ma, Guolong Zhang, Yi Gao, Qifeng Yu. Calibration of Telephoto Camera Based on Affine Approximation Projection Model[J]. Acta Optica Sinica, 2023, 43(4): 0412002

    Download Citation

    EndNote(RIS)BibTexPlain Text
    Save article for my favorites
    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jun. 24, 2022

    Accepted: Sep. 13, 2022

    Published Online: Feb. 16, 2023

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

    DOI:10.3788/AOS221367

    Topics