Author Affiliations
School of Electronics Information Engineering, Taiyuan University of Science & Technology, Taiyuan, Shanxi 030024, Chinashow less
Fig. 1. Schematic of posture coordinate system. (a) coordi-nate system and coordinate transformation; (b) attitude angle transformation
Fig. 2. Atmospheric polarization model
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
Fig. 4. Schematic of rotation direction
Fig. 5. Reference transformation diagram
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
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
Fig. 8. Angle change and error distribution of pitch angle and roll angle. (a) Angle variation curves; (b) angle error variation curves
Fig. 9. Field experiment datas. (a1) (a2) Original images; (b1) (b2) polarization distribution; (c1) (c2) sun position vector
Fig. 10. Field experiment test. (a) Test angle variation curves in field experiment; (b) angle error curves in field experiment
Fig. 11. Polarized light attitude and inertial navigation system attitude comparison
Rotate angle /(°) | | Sun coordinate | | Attitude angle /(°) |
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H | P | R | | X | Y | Z | | H | P | R | 0 | 0 | 0 | | 0.000 | 0.600 | 0.800 | | 0.000 | -0.010 | 0.012 | 0 | -20 | 5 | | -0.083 | 0.290 | 0.953 | | 0.000 | -20.022 | 4.978 | 0 | -15 | 10 | | -0.161 | 0.373 | 0.914 | | 0.000 | -14.979 | 9.990 | 0 | -10 | 15 | | -0.231 | 0.452 | 0.862 | | 0.000 | -10.008 | 15.002 | 0 | -5 | 20 | | -0.290 | 0.528 | 0.798 | | 0.000 | -5.010 | 19.972 | 0 | 0 | 0 | | 0.000 | 0.600 | 0.800 | | 0.000 | -0.010 | 0.011 | 0 | 5 | -20 | | 0.255 | 0.668 | 0.700 | | 0.000 | 5.033 | -20.016 | 0 | 10 | -15 | | 0.177 | 0.730 | 0.660 | | 0.000 | 10.006 | -15.012 | 0 | 15 | -10 | | 0.107 | 0.787 | 0.608 | | 0.000 | 15.026 | -9.981 | 0 | 20 | -5 | | 0.048 | 0.838 | 0.544 | | 0.000 | 20.050 | -5.042 |
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Table 1. Solving results of sun position vector coordinates and attitude angle
H/(°) | P/(°) | R/(°) | | Sun coordinate | | Error of P/(°) | Error of R/(°) |
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X | Y | Z |
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0.033 | 25.133 | -5.125 | | 0.576 | -0.073 | 0.814 | | -0.133 | 0.125 | 0.087 | 19.987 | -9.969 | | 0.647 | -0.132 | 0.751 | | 0.013 | -0.031 | 0.035 | 15.067 | -14.984 | | 0.710 | -0.182 | 0.680 | | -0.067 | -0.016 | 0.100 | 9.768 | -20.229 | | 0.772 | -0.220 | 0.597 | | 0.232 | 0.229 | 0.008 | 5.017 | -25.260 | | 0.822 | -0.243 | 0.515 | | -0.017 | 0.260 | 0.044 | -0.156 | 0.232 | | 0.870 | 0.002 | 0.494 | | 0.156 | -0.232 | 0.000 | -5.203 | 25.701 | | 0.910 | 0.180 | 0.374 | | 0.203 | -0.701 | 0.022 | -9.918 | 19.722 | | 0.941 | 0.114 | 0.318 | | -0.082 | 0.278 | 0.052 | -14.714 | 15.060 | | 0.966 | 0.067 | 0.249 | | -0.286 | -0.060 | 0.053 | -19.761 | 9.194 | | 0.985 | 0.028 | 0.173 | | -0.239 | 0.806 | 0.017 | -22.445 | 4.219 | | 0.992 | 0.009 | 0.122 | | -0.555 | 0.781 |
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Table 2. Solution data of detection