Acta Photonica Sinica, Volume. 53, Issue 4, 0428002(2024)
Radiometric Calibration Method for Infrared Camera Based on Power-weighted Least Squares Fitting
Figures & Tables(24)
Fig. 1. Least squares fitting lines and deviation curves for calibration data
Fig. 7. Proportional curve of fitted radiance deviation with different weights
Fig. 9. Fitting radiance deviation curve of different weights of the inner blackbody
Fig. 10. Proportional curve of the brightness deviation of the fitting radiance with different weights
Table 1. Blackbody radiometric calibration accuracy of an infrared camera
View tableView in ArticleTable 1. Blackbody radiometric calibration accuracy of an infrared camera
Serial number Error source Reference values Root mean square error 2.53% σ1 Blackbody temperature calibration uncertainty 0.43% σ2 Blackbody temperature non-uniformity 1.81% σ3 Blackbody emissivity error 0.20% σ4 Blackbody stability 0.21% σ5 Camera stability 0.79% σ6 Quantification error 0.01% σ7 System response non-linearity 1.4% σ8 Camera noise 0.5%
Table 2. Camera calibration data and fitting results
View tableView in ArticleTable 2. Camera calibration data and fitting results
Radiance L Response DN Fitting DN Deviation ΔDN Response rate ΔDN/ΔL 0.017 1 259 1 300 -40 29 427 0.022 1 409 1 445 -36 29 579 0.028 1 597 1 627 -30 29 743 0.036 1 833 1 854 -21 29 789 0.046 2 124 2 135 -11 29 530 0.058 2 476 2 479 -3 29 280 0.073 2 904 2 899 4 29 241 0.090 3 423 3 408 14 29 111 0.112 4 042 4 022 20 29 150 0.137 4 793 4 757 36 29 214 0.168 5 682 5 633 48 29 001 0.204 6 727 6 672 56 28 701 0.247 7 943 7 896 47 28 501 0.297 9 371 9 333 37 27 702 0.355 10 945 11 012 -68 27 890 0.423 12 910 12 966 -55 /
Table 3. Deviation ratio and linearity calculations for different algorithms
View tableView in ArticleTable 3. Deviation ratio and linearity calculations for different algorithms
Radiance L 0.017 -0.31% -0.33% 2.47% -9.10% 0.022 -0.28% -0.30% 2.98% -6.10% 0.028 -0.23% -0.25% 3.51% -3.87% 0.036 -0.16% -0.17% 3.66% -2.07% 0.046 -0.09% -0.09% 2.81% -0.84% 0.058 -0.03% -0.03% 1.98% -0.21% 0.073 0.03% 0.04% 1.86% 0.21% 0.090 0.11% 0.12% 1.41% 0.54% 0.112 0.15% 0.16% 1.55% 0.62% 0.137 0.28% 0.30% 1.76% 0.91% 0.168 0.37% 0.40% 1.04% 0.99% 0.204 0.43% 0.46% 0.01% 0.94% 0.247 0.37% 0.39% -0.69% 0.66% 0.297 0.29% 0.31% -3.60% 0.44% 0.355 -0.53% -0.56% -2.90% -0.67% 0.423 -0.43% -0.46% / -0.46% Linearity NL1=0.53% NL2=0.56% NL3=3.66% NL4=9.10%
Table 4. Fitting radiance deviations with different weights
View tableView in ArticleTable 4. Fitting radiance deviations with different weights
Radiance
L
n=0 n=1 n=2 n=3 n=4 a 28 699 28 903 29 133 29 380 29 540 b 817 787 774 766 763 0.017 -1.40×10-3 -4.89×10-4 -1.53×10-4 -3.78×10-5 -4.90×10-6 0.022 -1.26×10-3 -3.81×10-4 -8.57×10-5 -1.38×10-5 -8.51×10-6 0.028 -1.05×10-3 -2.19×10-4 2.46×10-5 4.20×10-5 1.26×10-5 0.036 -7.31×10-4 3.94×10-5 2.19×10-4 1.68×10-4 9.49×10-5 0.046 -3.79×10-4 3.19×10-4 4.19×10-4 2.84×10-4 1.58×10-4 0.058 -1.16×10-4 4.96×10-4 5.00×10-4 2.63×10-4 7.20×10-5 0.073 1.55×10-4 6.62×10-4 5.49×10-4 1.88×10-4 -8.19×10-5 0.090 4.98×10-4 8.77×10-4 6.22×10-4 1.12×10-4 -2.54×10-4 0.112 6.99×10-4 9.26×10-4 5.01×10-4 -1.88×10-4 -6.68×10-4 0.137 1.26×10-3 1.31×10-3 6.77×10-4 -2.30×10-4 -8.49×10-4 0.168 1.69×10-3 1.51×10-3 6.38×10-4 -5.25×10-4 -1.31×10-3 0.204 1.95×10-3 1.52×10-3 3.56×10-4 -1.11×10-3 -2.08×10-3 0.247 1.65×10-3 9.16×10-4 -5.76×10-4 -2.39×10-3 -3.59×10-3 0.297 1.31×10-3 2.29×10-4 -1.65×10-3 -3.88×10-3 -5.35×10-3 0.355 -2.36×10-3 -3.83×10-3 -6.14×10-3 -8.83×10-3 -1.06×10-2 0.423 -1.92×10-3 -3.88×10-3 -6.73×10-3 -9.98×10-3 -1.21×10-2
Table 5. Fitting radiance biases with different weights
View tableView in ArticleTable 5. Fitting radiance biases with different weights
Radiance
L
n=0 n=1 n=2 n=3 n=4 0.017 -8.32% -2.91% -0.91% -0.22% -0.03% 0.022 -5.74% -1.74% -0.39% -0.06% -0.04% 0.028 -3.71% -0.78% 0.09% 0.15% 0.04% 0.036 -2.02% 0.11% 0.60% 0.46% 0.26% 0.046 -0.83% 0.70% 0.91% 0.62% 0.34% 0.058 -0.20% 0.86% 0.86% 0.45% 0.12% 0.073 0.21% 0.91% 0.76% 0.26% -0.11% 0.090 0.55% 0.97% 0.69% 0.12% -0.28% 0.112 0.63% 0.83% 0.45% -0.17% -0.60% 0.137 0.92% 0.95% 0.49% -0.17% -0.62% 0.168 1.01% 0.90% 0.38% -0.31% -0.78% 0.204 0.96% 0.74% 0.17% -0.54% -1.02% 0.247 0.67% 0.37% -0.23% -0.97% -1.46% 0.297 0.44% 0.08% -0.56% -1.31% -1.80% 0.355 -0.66% -1.08% -1.73% -2.49% -2.98% 0.423 -0.45% -0.92% -1.59% -2.36% -2.86%
Table 6. Different weights invert temperature deviations
View tableView in ArticleTable 6. Different weights invert temperature deviations
Radiance
L
n=0 n=1 n=2 n=3 n=4 0.017 -1.62 -0.55 -0.17 -0.04 -0.01 0.022 -1.12 -0.34 -0.07 -0.02 0.01 0.028 -0.75 -0.16 0.00 0.03 0.00 0.036 -0.43 0.02 0.14 0.08 0.05 0.046 -0.18 0.15 0.18 0.12 0.06 0.058 -0.05 0.19 0.19 0.10 0.04 0.073 0.05 0.20 0.17 0.08 -0.04 0.090 0.13 0.23 0.16 0.04 -0.06 0.112 0.15 0.21 0.11 -0.04 -0.14 0.137 0.22 0.22 0.10 -0.03 -0.16 0.168 0.24 0.24 0.11 -0.08 -0.21 0.204 0.24 0.18 0.04 -0.13 -0.25 0.247 0.17 0.10 -0.04 -0.24 -0.38 0.297 0.12 0.02 -0.15 -0.36 -0.49 0.355 -0.20 -0.33 -0.47 -0.71 -0.84 0.423 -0.14 -0.27 -0.48 -0.68 -0.82
Table 7. Fitting radiance deviation of different weights of inner blackbody
View tableView in ArticleTable 7. Fitting radiance deviation of different weights of inner blackbody
Radiance
L
Response
DN
Radiance deviation n=0 n=1 n=2 n=3 a / 34 672 34 342 33 998 33 644 b / 724 738 747 753 0.011 1 121 5.21×10-4 2.33×10-4 8.87×10-5 2.95×10-5 0.022 1 475 -7.16×10-5 -2.61×10-4 -3.02×10-4 -2.51×10-4 0.035 1 911 -3.28×10-4 -3.97×10-4 -3.09×10-4 -1.23×10-4 0.056 2 640 -6.24×10-4 -4.91×10-4 -1.88×10-4 2.23×10-4 0.084 3 648 5.02×10-4 9.15×10-4 1.51×10-3 2.24×10-3
Table 8. Proportion of fitting radiance deviation with different weights
View tableView in ArticleTable 8. Proportion of fitting radiance deviation with different weights
Radiance
L
Radiance deviation ratio n=0 n=1 n=2 n=3 0.011 4.78% 2.14% 0.81% 0.27% 0.022 -0.33% -1.20% -1.39% -1.16% 0.035 -0.95% -1.15% -0.89% -0.36% 0.056 -1.12% -0.88% -0.34% 0.40% 0.084 0.60% 1.09% 1.81% 2.67%
Table 9. Temperature deviation is inverted with different weights
View tableView in ArticleTable 9. Temperature deviation is inverted with different weights
Radiance
L
Temperature inversion deviation n=0 n=1 n=2 n=3 0.011 0.83 0.39 0.15 0.05 0.022 -0.06 -0.22 -0.28 -0.22 0.035 -0.19 -0.22 -0.17 -0.06 0.056 -0.24 -0.18 -0.06 0.08 0.084 0.13 0.25 0.43 0.60
Table 10. Calibration data for integral time 20 ms and radiance inversion deviations ratio
View tableView in ArticleTable 10. Calibration data for integral time 20 ms and radiance inversion deviations ratio
Radiance L Response DN n=0 n=1 n=2 n=3 n=4 0.010 1 354 -5.36% -2.20% -0.85% -0.30% -0.10% 0.013 1 542 -3.32% -1.05% -0.17% 0.06% 0.07% 0.017 1 783 -1.73% -0.12% 0.40% 0.41% 0.28% 0.022 2 085 -0.77% 0.36% 0.62% 0.46% 0.23% 0.028 2 461 -0.22% 0.54% 0.61% 0.33% 0.02% 0.036 2 930 0.25% 0.73% 0.65% 0.28% -0.09% 0.046 3 508 0.49% 0.76% 0.58% 0.13% -0.28% 0.058 4 214 0.59% 0.71% 0.44% -0.06% -0.50% 0.073 5 073 0.63% 0.62% 0.29% -0.25% -0.72% 0.090 6 112 0.61% 0.51% 0.13% -0.45% -0.93% 0.112 7 349 0.37% 0.20% -0.23% -0.82% -1.32% 0.137 8 835 0.23% 0.00% -0.46% -1.07% -1.58% 0.168 10 590 -0.06% -0.33% -0.81% -1.43% -1.96% 0.204 12 655 -0.40% -0.71% -1.20% -1.84% -2.37%
Table 11. Temperature deviations for integral time 20ms
View tableView in ArticleTable 11. Temperature deviations for integral time 20ms
Radiance L Response DN n=0 n=1 n=2 n=3 n=4 0.010 1 354 -0.96 -0.40 -0.15 -0.05 -0.03 0.013 1 542 -0.61 -0.20 -0.05 0.02 0.02 0.017 1 783 -0.33 -0.04 0.07 0.07 0.07 0.022 2 085 -0.15 0.06 0.12 0.09 0.04 0.028 2 461 -0.05 0.11 0.11 0.06 0.00 0.036 2 930 0.05 0.14 0.14 0.05 -0.03 0.046 3 508 0.12 0.18 0.12 0.03 -0.06 0.058 4 214 0.13 0.16 0.10 -0.02 -0.11 0.073 5 073 0.14 0.14 0.08 -0.04 -0.16 0.090 6 112 0.13 0.13 0.04 -0.12 -0.23 0.112 7 349 0.08 0.05 -0.04 -0.20 -0.30 0.137 8 835 0.03 0.00 -0.09 -0.28 -0.41 0.168 10 590 -0.01 -0.08 -0.21 -0.36 -0.52 0.204 12 655 -0.13 -0.19 -0.32 -0.51 -0.63
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Zhanlei JIN, Libing JIN, Jiushuang ZHANG, Lina XU, Yunfei BAO, Yan LI. Radiometric Calibration Method for Infrared Camera Based on Power-weighted Least Squares Fitting[J]. Acta Photonica Sinica, 2024, 53(4): 0428002
Paper Information
Category: Remote Sensing and Sensors
Received: Jan. 15, 2024
Accepted: Mar. 4, 2024
Published Online: May. 15, 2024
The Author Email: JIN Zhanlei (jinzhanlei@163.com)
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