• Acta Optica Sinica
  • Vol. 37, Issue 10, 1015001 (2017)
Dongsheng Yang, Shusheng Bi, Yueri Cai*, and Chang Yuan
Author Affiliations
  • Robotics Institute, Beihang University, Beijing, 100191, China
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    DOI: 10.3788/AOS201737.1015001 Cite this Article Set citation alerts
    Dongsheng Yang, Shusheng Bi, Yueri Cai, Chang Yuan. Wide-Area Monocular Plane Measurement Based on Calibration on a Parallel Plane Using Multiple Targets[J]. Acta Optica Sinica, 2017, 37(10): 1015001 Copy Citation Text show less
    Camera model
    Fig. 1. Camera model
    Schematic of calibration principle
    Fig. 2. Schematic of calibration principle
    Geometrical relationship of plane measurement
    Fig. 3. Geometrical relationship of plane measurement
    (a) Distribution of measurement precision of different positions in the measuring area; (b) distribution of measurement precision versus xM, when yM=-500 mm; (c) distribution of measurement precision versus yM, when xM=0 mm
    Fig. 4. (a) Distribution of measurement precision of different positions in the measuring area; (b) distribution of measurement precision versus xM, when yM=-500 mm; (c) distribution of measurement precision versus yM, when xM=0 mm
    Measurement precision versus camera angles
    Fig. 5. Measurement precision versus camera angles
    Experimental setup
    Fig. 6. Experimental setup
    Target images. (a) First group; (b) second group
    Fig. 7. Target images. (a) First group; (b) second group
    Schematic of precision measurement experiment. (a) Measuring planes; (b) positions of small targets; (c) feature point intervals of a small target
    Fig. 8. Schematic of precision measurement experiment. (a) Measuring planes; (b) positions of small targets; (c) feature point intervals of a small target
    Measurement error of different positions on 0 mm plane. (a) Absolute error; (b) relative error
    Fig. 9. Measurement error of different positions on 0 mm plane. (a) Absolute error; (b) relative error
    Measurement error of different positions on 100 mm plane. (a) Absolute error; (b) relative error
    Fig. 10. Measurement error of different positions on 100 mm plane. (a) Absolute error; (b) relative error
    Measurement error of different positions on 200 mm plane. (a) Absolute error; (b) relative error
    Fig. 11. Measurement error of different positions on 200 mm plane. (a) Absolute error; (b) relative error
    Relationship between total measurement error and distance of different planes using multi-target method. (a) Absolute error; (b) relative error
    Fig. 12. Relationship between total measurement error and distance of different planes using multi-target method. (a) Absolute error; (b) relative error
    Measurement error distribution of different planes using multi-target method. (a) Absolute error; (b) relative error
    Fig. 13. Measurement error distribution of different planes using multi-target method. (a) Absolute error; (b) relative error
    Error of XM and YM axes in different positions on the 50 mm plane. (a) Absolute error; (b) relative error
    Fig. 14. Error of XM and YM axes in different positions on the 50 mm plane. (a) Absolute error; (b) relative error
    Image resolution /(pixel×pixel)fu0v0h /mmθ /(°)δ /pixel
    4032×3024346020161512900251
    Table 1. Parameters for precision analysis
    GroupAk1k2RBTB
    13854.202023.604017.51543.80010.1142-0.21660.99360.1123-0.0135-0.09190.87130.48210.0659-0.47780.8760-547.7-388.21280.9
    23443.101972.103478.51512.20010.1039-0.15590.71320.7009-0.0079-0.62820.64400.43670.3111-0.30650.8996-498.8-409.81155.4
    Table 2. Calibration results
    Dongsheng Yang, Shusheng Bi, Yueri Cai, Chang Yuan. Wide-Area Monocular Plane Measurement Based on Calibration on a Parallel Plane Using Multiple Targets[J]. Acta Optica Sinica, 2017, 37(10): 1015001
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