• Laser & Optoelectronics Progress
  • Vol. 57, Issue 22, 221107 (2020)
Jiangtao Yang*, Jian'an Wang, Yin Wang, and Xiao Hu
Author Affiliations
  • School of Electronics Information Engineering, Taiyuan University of Science & Technology, Taiyuan, Shanxi 030024, China
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    DOI: 10.3788/LOP57.221107 Cite this Article Set citation alerts
    Jiangtao Yang, Jian'an Wang, Yin Wang, Xiao Hu. Calculation Method of Three-dimensional Attitude Angle Based on Atmospheric Polarization Pattern[J]. Laser & Optoelectronics Progress, 2020, 57(22): 221107 Copy Citation Text show less
    Schematic of posture coordinate system. (a) coordi-nate system and coordinate transformation; (b) attitude angle transformation
    Fig. 1. Schematic of posture coordinate system. (a) coordi-nate system and coordinate transformation; (b) attitude angle transformation
    Atmospheric polarization model
    Fig. 2. Atmospheric polarization model
    Extraction of space position of sun. (a) Distribution of degree of polarization in entire sky; (b) K-means cluster data cluster; (c) K-means cluster center
    Fig. 3. Extraction of space position of sun. (a) Distribution of degree of polarization in entire sky; (b) K-means cluster data cluster; (c) K-means cluster center
    Schematic of rotation direction
    Fig. 4. Schematic of rotation direction
    Reference transformation diagram
    Fig. 5. Reference transformation diagram
    Atmospheric polarization mode measurement system. (a) Test platform; (b) platform equipped with AHRS; (c) rotation axis of carrier; (d) coordinate axis of fisheye lens
    Fig. 6. Atmospheric polarization mode measurement system. (a) Test platform; (b) platform equipped with AHRS; (c) rotation axis of carrier; (d) coordinate axis of fisheye lens
    Simulation datas obtained by different methods. (a1)(a2) Degree of atmospheric polarization in entire sky; (b1)(b2) weighted clustering; (c1)(c2) K-mean algorithm
    Fig. 7. Simulation datas obtained by different methods. (a1)(a2) Degree of atmospheric polarization in entire sky; (b1)(b2) weighted clustering; (c1)(c2) K-mean algorithm
    Angle change and error distribution of pitch angle and roll angle. (a) Angle variation curves; (b) angle error variation curves
    Fig. 8. Angle change and error distribution of pitch angle and roll angle. (a) Angle variation curves; (b) angle error variation curves
    Field experiment datas. (a1) (a2) Original images; (b1) (b2) polarization distribution; (c1) (c2) sun position vector
    Fig. 9. Field experiment datas. (a1) (a2) Original images; (b1) (b2) polarization distribution; (c1) (c2) sun position vector
    Field experiment test. (a) Test angle variation curves in field experiment; (b) angle error curves in field experiment
    Fig. 10. Field experiment test. (a) Test angle variation curves in field experiment; (b) angle error curves in field experiment
    Polarized light attitude and inertial navigation system attitude comparison
    Fig. 11. Polarized light attitude and inertial navigation system attitude comparison
    Rotate angle /(°)Sun coordinateAttitude angle /(°)
    HPRXYZHPR
    0000.0000.6000.8000.000-0.0100.012
    0-205-0.0830.2900.9530.000-20.0224.978
    0-1510-0.1610.3730.9140.000-14.9799.990
    0-1015-0.2310.4520.8620.000-10.00815.002
    0-520-0.2900.5280.7980.000-5.01019.972
    0000.0000.6000.8000.000-0.0100.011
    05-200.2550.6680.7000.0005.033-20.016
    010-150.1770.7300.6600.00010.006-15.012
    015-100.1070.7870.6080.00015.026-9.981
    020-50.0480.8380.5440.00020.050-5.042
    Table 1. Solving results of sun position vector coordinates and attitude angle
    H/(°)P/(°)R/(°)Sun coordinateError of P/(°)Error of R/(°)
    XYZ
    0.03325.133-5.1250.576-0.0730.814-0.1330.125
    0.08719.987-9.9690.647-0.1320.7510.013-0.031
    0.03515.067-14.9840.710-0.1820.680-0.067-0.016
    0.1009.768-20.2290.772-0.2200.5970.2320.229
    0.0085.017-25.2600.822-0.2430.515-0.0170.260
    0.044-0.1560.2320.8700.0020.4940.156-0.232
    0.000-5.20325.7010.9100.1800.3740.203-0.701
    0.022-9.91819.7220.9410.1140.318-0.0820.278
    0.052-14.71415.0600.9660.0670.249-0.286-0.060
    0.053-19.7619.1940.9850.0280.173-0.2390.806
    0.017-22.4454.2190.9920.0090.122-0.5550.781
    Table 2. Solution data of detection
    Jiangtao Yang, Jian'an Wang, Yin Wang, Xiao Hu. Calculation Method of Three-dimensional Attitude Angle Based on Atmospheric Polarization Pattern[J]. Laser & Optoelectronics Progress, 2020, 57(22): 221107
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