• Acta Optica Sinica
  • Vol. 38, Issue 8, 0815009 (2018)
Cong Sun1、2、*, Haibo Liu1、2、*, Shengyi Chen1、2, and Yang Shang1、2
Author Affiliations
  • 1 College of Aerospace Science and Engineering, National University of Defense Technology, Changsha 410073, China
  • 2 Hunan Key Laboratory of Image Measurement and Vision Navigation, Changsha, Hunan 410073, China
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    DOI: 10.3788/AOS201838.0815009 Cite this Article Set citation alerts
    Cong Sun, Haibo Liu, Shengyi Chen, Yang Shang. A General Imaging Model Based Method for Scheimpflug Camera Calibration[J]. Acta Optica Sinica, 2018, 38(8): 0815009 Copy Citation Text show less
    Basic optical geometry of ordinary camera
    Fig. 1. Basic optical geometry of ordinary camera
    Basic optical geometry of Scheimpflug camera
    Fig. 2. Basic optical geometry of Scheimpflug camera
    Illustration of Hinge rule and Scheimpflug principle in joint action
    Fig. 3. Illustration of Hinge rule and Scheimpflug principle in joint action
    Schematic of Scheimpflug camera's depth-of-field
    Fig. 4. Schematic of Scheimpflug camera's depth-of-field
    Schematic of calibration principle of general imaging model[42]. (a) Camera as black box, with one pixel and its camera ray; (b) pixel sees a point on a calibration object, whose coordinates are identified in a frame associated with the object; (c) same as (b) for another position of the calibration object; (d) if the object's motion is known, the two points on the calibration object can be placed in the same coordinate frame here the same one as in (c) the camera ray is then determined by joini
    Fig. 5. Schematic of calibration principle of general imaging model[42]. (a) Camera as black box, with one pixel and its camera ray; (b) pixel sees a point on a calibration object, whose coordinates are identified in a frame associated with the object; (c) same as (b) for another position of the calibration object; (d) if the object's motion is known, the two points on the calibration object can be placed in the same coordinate frame here the same one as in (c) the camera ray is then determined by joini
    Schematic of general non-parametric imaging model
    Fig. 6. Schematic of general non-parametric imaging model
    Reconstructed results and error distribution of planar calibration plate. (a) Reconstructed results of calibration plate; (b) error distribution of reconstructed control points
    Fig. 7. Reconstructed results and error distribution of planar calibration plate. (a) Reconstructed results of calibration plate; (b) error distribution of reconstructed control points
    Two-dimensional electric rotary table
    Fig. 8. Two-dimensional electric rotary table
    Three-dimensional electric translation table
    Fig. 9. Three-dimensional electric translation table
    Calibration model(R11,R21,R31)(T11,T21,T31) /mm(R12,R22,R32)(T12,T22,T32) /mm
    Ref.[16] method(1.5067,1.5080,-0.8159)(-54.7739,-45.2021,442.8741)(1.9628,0.7965,-0.3941)(-66.5666,-26.0286,400.8027)
    Ref.[2] method(1.5392,1.4766,-0.8186)(-53.7829,-48.3303,441.7981)(1.9208,0.7914,-0.4100)(-67.8423,-25.1659,399.2397)
    Ref.[27] method(1.4928,1.4434,-0.9046)(-52.5684,-44.1141,441.0225)(1.8824,0.7641,-0.4607)(-65.8903,-25.5468,397.2328)
    Proposed method(1.5123,1.4682,-0.8481)(-53.3728,-46.9573,441.6816)(1.9031,0.7725,-0.4432)(-66.7914,-25.6247,398.4627)
    Table 1. Results of relative pose of calibration plate calibrated by different calibration models
    ItemRef.[16]Ref.[2]Ref.[27]
    Rotation0.05480.04350.0500
    Translation / mm1.36531.31161.2975
    Table 2. Deviation of calibration results using general non-parametric imaging model and classical parametric models
    Experiment timeItemRef.[16] methodRef.[2] methodRef.[27] methodProposed method
    1stRMSE of rotation /(°)RMSE of translation /mm0.03871.46590.04091.51090.04001.49050.04171.5305
    2ndRMSE of rotation /(°)RMSE of translation /mm0.04121.55620.04281.60420.04241.57320.04321.6655
    Table 3. Pose estimation accuracy of Scheimpflug camera using different imaging models
    Cong Sun, Haibo Liu, Shengyi Chen, Yang Shang. A General Imaging Model Based Method for Scheimpflug Camera Calibration[J]. Acta Optica Sinica, 2018, 38(8): 0815009
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