Infrared and Laser Engineering, Volume. 53, Issue 4, 20230672(2024)
Non-contact three-dimensional emissivity distribution measurement method of M8 LiDAR echo
Figures & Tables(28)
Fig. 10. Strength measurements at different positions of 1-15 m at a reference incident angle of 0°
Fig. 11. Referring to the real scene of 1-15 m intensity measurement at the incident angle of 0°
Fig. 12. The relationship between LiDAR ranging value and echo intensity when the reference incident angle is 0°
Fig. 13. Intensity measurement at different sites of 0°-80° at areference distance of 1.7 m
Fig. 14. The relationship between LiDAR incident angle and echo intensity when the reference distance is 1.7 m
Fig. 15. The original strength (a) and the corrected intensity (b) under the influence of distance when the reference incident angle is 0°
Fig. 16. The original strength (a) and the corrected intensity (b) under the influence of incident angle when the reference distance is 1.7 m
Fig. 17. The measurement results of standard reflector (95%) at different distance angles
Fig. 21. Three-dimensional distribution of surface patch emissivity of satellite model
Table 1. Strength value of the calibration template at different distances
View tableView in ArticleTable 1. Strength value of the calibration template at different distances
Group 95% 50% 2% Blue （22%） Green （18%） White （62%） Black （4%） 0.5 m 8 8 0 0 0 8 0 1.0 m 38 23 0 0 0 30 0 1.5 m 68 45 0 15 8 23 0 1.7 m 83 45 0 23 23 45 0 2.0 m 91 68 0 61 61 77 15 2.4 m 121 98 0 98 76 122 76 3.1 m 159 136 0 121 128 151 113
Table 2. Root mean square error of polynomial fitting function under different orders
View tableView in ArticleTable 2. Root mean square error of polynomial fitting function under different orders
Order RMSE K M N 1 26.34 8.42 2.84 2 11.92 7.65 2.76 3 10.06 7.28 2.73 4 9.65 5.98 1.96 5 9.44 5.98 1.86 6 9.17 5.90 0.89
Table 3. Coefficients of each polynomial
View tableView in ArticleTable 3. Coefficients of each polynomial
Coefficient Value ${a_0}$ −24.116 ${a_1}$ 61.2436 $ {a_2} $ 3.6745 ${a_3}$ −2.0008 $ {a_4} $ 0.1314 ${b_0}$ −7.993×103 ${b_1}$ 3.741×105 ${b_2}$ −6.352×106 ${b_3}$ 47.45×106 ${b_4}$ −131.186×106 ${c_0}$ 12.5477 ${c_1}$ 54.826 ${c_2}$ 10.66
Table 4. Specific expression of the distance and incident angle cosine polynomial correction function
View tableView in ArticleTable 4. Specific expression of the distance and incident angle cosine polynomial correction function
No. Specific expression 1 ${f}_{r}(R)=-24.116+61.2436\times {R}^{1}+3.6745\times {R}^{2}-2.0008\times {R}^{3}+0.1314\times {R}^{4},(R\leqslant 8.7\;\text {m}）$ 2 $ {f}_{r}(R)=-7.993\times {10}^{3}+3.741\times {10}^{5}{(1/R)}^{1}-6.352\times {10}^{6}{(1/R)}^{2}+47.45\times {10}^{6}{(1/R)}^{3}-131.186\times {10}^{6}{(1/R)}^{4},(R > 8.7\;\text{m}） $ 3 ${f_\theta }(\cos \theta ) = 12.55 + 54.826 \times {(\cos \theta )^1} + 10.66 \times {(\cos \theta )^2}$
Table 5. The minimum, maximum, mean and standard deviation of the echo intensity before and after correction
View tableView in ArticleTable 5. The minimum, maximum, mean and standard deviation of the echo intensity before and after correction
Correction mode MIN MAX Mean STD Distanc effect correction Original 38 242 189 50.58 Corrected 77 89 83 3.49 Incidence angle effect correction Original 23 83 56 19.25 Corrected 72 82 77 3.17
Table 6. CV of the echo intensity before and after correction and
η and intensity consistencyView tableView in ArticleTable 6. CV of the echo intensity before and after correction and
η and intensity consistencyCorrection mode CV η Intensity consistency Distanc effect correction Original 0.2676 0.1569 84.31% Corrected 0.0420 Incidence angle effect correction Original 0.3438 0.1198 88.02% Corrected 0.0412
Table 7. Average deviation of emissivity
View tableView in ArticleTable 7. Average deviation of emissivity
Group 2% standard（0.98） 50% standard（0.5） 22% blue（0.78） 29% red（0.71） 4% solar array（0.96） Mean deviation 1 0.93 - 0.77 - 1 3.33% 2 0.95 0.45 0.70 0.75 1 4.84% 3 1 0.49 0.78 0.86 1 4.44%
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Ronghua Li, Yuan Deng, Haopeng Xue, Xinchen Zhou, Mingshuo Zhao. Non-contact three-dimensional emissivity distribution measurement method of M8 LiDAR echo[J]. Infrared and Laser Engineering, 2024, 53(4): 20230672
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Received: Dec. 4, 2023
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Published Online: Jun. 21, 2024
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