• Acta Optica Sinica
  • Vol. 37, Issue 9, 0915004 (2017)
Bin Wu, Dong Ye*, Yubo Guo, and Gang Chen
Author Affiliations
  • School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin, Heilongjiang 150001, China
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    DOI: 10.3788/AOS201737.0915004 Cite this Article Set citation alerts
    Bin Wu, Dong Ye, Yubo Guo, Gang Chen. Multiple Circle Recognition and Pose Estimation for Aerospace Applications[J]. Acta Optica Sinica, 2017, 37(9): 0915004 Copy Citation Text show less
    Fake ellipses generated by shadows (red dotted line), ellipses generated by projection of SOR (red solid line), and other ellipses (green solid line)
    Fig. 1. Fake ellipses generated by shadows (red dotted line), ellipses generated by projection of SOR (red solid line), and other ellipses (green solid line)
    Coordinate systems and their transformation
    Fig. 2. Coordinate systems and their transformation
    Vertical constraint
    Fig. 3. Vertical constraint
    (a) Four space circles of SOR; (b) imaging of the space circle; (c) image with four random ellipses as well as 8% salt and pepper noise
    Fig. 4. (a) Four space circles of SOR; (b) imaging of the space circle; (c) image with four random ellipses as well as 8% salt and pepper noise
    Examples of simulation (blue) and classification results (red) for synthetic images
    Fig. 5. Examples of simulation (blue) and classification results (red) for synthetic images
    Pose estimation error as a function of distance. (a) Error of angle; (b) error of translation
    Fig. 6. Pose estimation error as a function of distance. (a) Error of angle; (b) error of translation
    (a) Experimental system; (b) satellite mockup
    Fig. 7. (a) Experimental system; (b) satellite mockup
    Real images and classification results
    Fig. 8. Real images and classification results
    Pose estimation error as a function of distance. (a) Error of angle; (b) error of translation
    Fig. 9. Pose estimation error as a function of distance. (a) Error of angle; (b) error of translation
    Estimation errors of pose angles. (a) Pitch angle; (b) yaw angle
    Fig. 10. Estimation errors of pose angles. (a) Pitch angle; (b) yaw angle
    mPrecision
    σ=0σ=4%σ=8%σ=12%σ=16%
    41.0001.0001.0001.0001.000
    61.0001.0001.0000.9930.987
    81.0001.0000.9880.9840.979
    121.0001.0000.9860.9830.975
    Table 1. Precision of classification
    Pose parameterRealEstimatedError
    Tx /mm120119.2140.786
    Ty /mm-120-121.3421.342
    Tz /mm50004997.4762.524
    n[-0.0125 -0.2737 0.9617][-0.0114 -0.2732 0.9626][-0.0011 -0.0005 -0.0009]
    Φ /(°)74.09874.142-0.044
    θ /(°)87.38587.611-0.226
    Table 2. Pose estimation results for synthetic images
    Pose parameterRealEstimatedError
    Tx /mm687.526686.3461.180
    Ty /mm-33.988-35.7151.727
    Tz /mm1080.4401077.5702.870
    n[-0.9837 0.0439 -0.1743][-0.9659 0.0421 -0.1733][-0.0178 0.0018 -0.0010]
    Φ /(°)-10.038-10.1620.124
    θ /(°)-2.555-2.496-0.059
    Table 3. Pose estimation results for real images
    Bin Wu, Dong Ye, Yubo Guo, Gang Chen. Multiple Circle Recognition and Pose Estimation for Aerospace Applications[J]. Acta Optica Sinica, 2017, 37(9): 0915004
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