• Acta Optica Sinica
  • Vol. 42, Issue 8, 0815002 (2022)
Pei Yang1, Yulong Yin1、*, Rongsheng Lu2、**, and Huabing Zhu1
Author Affiliations
  • 1School of Mechanical Engineering, Hefei University of Technology, Hefei, Anhui 230009, China
  • 2School of Instrument Science and Opto-Electronics Engineering, Hefei University of Technology, Hefei, Anhui 230009, China
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    DOI: 10.3788/AOS202242.0815002 Cite this Article Set citation alerts
    Pei Yang, Yulong Yin, Rongsheng Lu, Huabing Zhu. Binocular Camera Calibration Based on Directional Target and Multi-Constraint Optimization[J]. Acta Optica Sinica, 2022, 42(8): 0815002 Copy Citation Text show less
    Diagram of novel directional target structure
    Fig. 1. Diagram of novel directional target structure
    Flow chart of decoding process of new directional target
    Fig. 2. Flow chart of decoding process of new directional target
    Calibration model of binocular camera
    Fig. 3. Calibration model of binocular camera
    Diagram of zenith and azimuth angles
    Fig. 4. Diagram of zenith and azimuth angles
    Flow chart of proposed method
    Fig. 5. Flow chart of proposed method
    Comparison between 25 sets of intrinsic parameters calculated by proposed method and those calculated by Zhang’s method. (a) fx,l and fy,l; (b) fx,r and fy,r; (c) u0,l and v0,l; (d) u0,r and v0,r
    Fig. 6. Comparison between 25 sets of intrinsic parameters calculated by proposed method and those calculated by Zhang’s method. (a) fx,l and fy,l; (b) fx,r and fy,r; (c) u0,l and v0,l; (d) u0,r and v0,r
    Comparison between 25 sets of extrinsic parameters calculated by proposed method and those calculated by Zhang’s method. (a) rx, ry, rz; (b) tx, ty, tz
    Fig. 7. Comparison between 25 sets of extrinsic parameters calculated by proposed method and those calculated by Zhang’s method. (a) rx, ry, rz; (b) tx, ty, tz
    Distributions of normal vectors of target at different positions. (a) Calibration image selected by proposed method; (b) calibration image used in Zhang’s method
    Fig. 8. Distributions of normal vectors of target at different positions. (a) Calibration image selected by proposed method; (b) calibration image used in Zhang’s method
    Comparison between errors obtained by proposed method and those obtained by Zhang's method. (a) Mean absolute reprojection error; (b) mean absolute collinearity error; (c) mean absolute coplanarity error; (d) mean absolute standard-length error
    Fig. 9. Comparison between errors obtained by proposed method and those obtained by Zhang's method. (a) Mean absolute reprojection error; (b) mean absolute collinearity error; (c) mean absolute coplanarity error; (d) mean absolute standard-length error
    Binocular calibration experiment based on local target information. (a) 17 left calibration images; (b) 17 right calibration images
    Fig. 10. Binocular calibration experiment based on local target information. (a) 17 left calibration images; (b) 17 right calibration images
    Comparison between 25 groups of binocular camera parameters calculated in additional experiments and those calculated by proposed method in section 4.1. (a)(b) Comparison of intrinsic parameters; (c)(d) comparison of extrinsic parameters
    Fig. 11. Comparison between 25 groups of binocular camera parameters calculated in additional experiments and those calculated by proposed method in section 4.1. (a)(b) Comparison of intrinsic parameters; (c)(d) comparison of extrinsic parameters
    Comparison between 25 groups of mean absolute errors obtained in additional experiments and those obtained by proposed method in section 4.1. (a) Mean absolute reprojection error; (b) mean absolute collinearity error; (c) mean absolute coplanarity error; (d) mean absolute standard-length error
    Fig. 12. Comparison between 25 groups of mean absolute errors obtained in additional experiments and those obtained by proposed method in section 4.1. (a) Mean absolute reprojection error; (b) mean absolute collinearity error; (c) mean absolute coplanarity error; (d) mean absolute standard-length error
    Comparison of results of measurement experiments
    Fig. 13. Comparison of results of measurement experiments
    Intrinsic parameterSD /pixelReduction /%
    Zhang’s methodProposed method
    fx,l8.152.1574.15
    fy,l8.201.2385.01
    u0,l5.581.7568.58
    v0,l5.691.7269.76
    fx,r6.151.5375.08
    fy,r6.131.5075.57
    u0,r5.841.5174.23
    v0,r5.111.6068.72
    Table 1. Comparison of SD of intrinsic parameters of binocular camera obtained by proposed method and Zhang's method
    Extrinsic parameterSDReduction /%
    Zhang’s methodProposed method
    rx0.037°0.016°74.15
    ry0.152°0.062°85.01
    rz0.038°0.019°68.58
    tx0.845 mm0.267 mm69.76
    ty0.320 mm0.215 mm75.08
    tz0.612 mm0.398 mm75.57
    Table 2. Comparison of SD of extrinsic parameters of binocular camera obtained by proposed method and Zhang’s method
    Pei Yang, Yulong Yin, Rongsheng Lu, Huabing Zhu. Binocular Camera Calibration Based on Directional Target and Multi-Constraint Optimization[J]. Acta Optica Sinica, 2022, 42(8): 0815002
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