Global optimization radiometric calibration method for an infrared system with a wide dynamic range

Ting Li; Ting Li; Ting Li; Xuefeng Lai; Xuefeng Lai; Sujun Li; Sujun Li; Yucheng Xia; Yucheng Xia; Jinmei Zhou; Jinmei Zhou; Sheng Liao; Sheng Liao

doi:10.1364/AO.498376

Applied Optics
Vol. 63,
Issue 2,
pp. 406-414
(2024)
•https://doi.org/10.1364/AO.498376

Global optimization radiometric calibration method for an infrared system with a wide dynamic range

Ting Li, Xuefeng Lai, Sujun Li, Yucheng Xia, Jinmei Zhou, and Sheng Liao

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Ting Li, Xuefeng Lai, Sujun Li, Yucheng Xia, Jinmei Zhou, and Sheng Liao, "Global optimization radiometric calibration method for an infrared system with a wide dynamic range," Appl. Opt. 63, 406-414 (2024)

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Table of Contents Category
- Imaging Systems, Image Processing, and Displays
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About this Article
History
- Original Manuscript: July 6, 2023
- Revised Manuscript: November 8, 2023
- Manuscript Accepted: November 17, 2023
- Published: January 8, 2024

Abstract

Considering the conventional calibration restriction of the complicated calibration procedures, narrow dynamic range, and less correlation in the calibration data, a global optimization radiometric calibration method is proposed in this paper. First, a unified database is generated by integrating different gray-level images, neutral density attenuators, integration times, and target radiations under the deduced infrared physical model. Then, the calibration coefficients are automatically learned through the relative error backward propagation network. Finally, experiments are conducted on a large-aperture ground-based infrared system to evaluate the effectiveness of the proposed method. The results indicate the proposed method can solve the problem of learning imbalance with large fluctuations of infrared radiation, ensure global measurement precision with a simpler calibration procedure, and accurately measure the internal stray radiation of the optical system.

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Data underlying the results presented in this paper are not publicly available at this time but may be obtained from the authors upon reasonable request.

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	Filter I		Filter II		Filter III
Coefficient	Comparison Method	Proposed Method	Comparison Method	Proposed Method	Comparison Method	Proposed Method
$G / [\times 10^{4} D N / (µ s \cdot W \cdot {c m}^{- 2} \cdot {s r}^{- 1})]$	0.7125	0.6973	0.7125	0.6973	0.7125	0.6973
$h_{det} / (\times 10^{3} D N)$	1.1008	1.1323	1.1008	1.1323	1.1008	1.1323
$h_{s} / [\times 10^{- 4} / (W \cdot {c m}^{- 2} \cdot {s r}^{- 1})]$	1.8664	1.8530	1.8664	1.8530	1.8664	1.8530
$h_{n d} / [\times 10^{- 4} / (W \cdot {c m}^{- 2} \cdot {s r}^{- 1})]$	——	——	15.0306	30.8539	170.8301	162.3483
$τ$	1	1	0.0712	0.0797	0.0067	0.0073

		Fitting Formula
Filter I	Comparison method $(τ = 1)$	$L = (1.4035 h / T - 1.5450 \times 10^{3} / T - 1.8664) \times 10^{- 4}$
	Proposed method $(τ = 1)$	$L = [1.4341 h / (T - 0 .5185) - 1.6238 \times 10^{3} / (T - 0 .5185) - 1.8530] \times 10^{- 4}$
Filter II	Comparison method $(τ = 0.0712)$	$L = (19.7122 h / T - 2.1699 \times 10^{4} / T - 16.8969) \times 10^{- 4}$
	Proposed method $(τ = 0.0797)$	$L = [17.994 h / (T - 0 .5185) - 2.0374 \times 10^{4} / (T - 0 .5185) - 32.7069] \times 10^{- 4}$
Filter III	Comparison method $(τ = 0.0067)$	$L = (2.0948 h / T - 23.0594 \times 10^{7} / T - 1.7270) \times 10^{- 2}$
	Proposed method $(τ = 0.0073)$	$L = [1.9645 h / (T - 0 .5185) - 2.2244 \times 10^{7} / (T - 0 .5185) - 164.2013] \times 10^{- 2}$

				Comparison Method			Proposed Method
Temperature of Blackbody (°C)	Chosen Filter	Integration Time ( $µ s$ )	Radiance ( $W \cdot {c m}^{- 2} \cdot {s r}^{- 1}$ )	Measured Radiance ( $W \cdot {c m}^{- 2} \cdot {s r}^{- 1}$ )	Uncertainty ( $3 δ$ )	Measurement Error (%)	Measured Radiance ( $W \cdot {c m}^{- 2} \cdot {s r}^{- 1}$ )	Uncertainty ( $3 δ$ )	Measurement Error (%)
70	I	2500	$4.9277 \times 10^{- 4}$	$4.6909 \times 10^{- 4}$	$0.1444 \times 10^{- 4}$	−4.81	$4.8306 \times 10^{- 4}$	$0.1216 \times 10^{- 4}$	−1.97
180	I	100	$5.2226 \times 10^{- 3}$	$5.2270 \times 10^{- 3}$	$0.1982 \times 10^{- 3}$	0.08	$5.3297 \times 10^{- 3}$	$0.1838 \times 10^{- 3}$	2.05
200	I	20	$7.1469 \times 10^{- 3}$	$7.0590 \times 10^{- 3}$	$0.4771 \times 10^{- 3}$	−1.23	$7.1834 \times 10^{- 3}$	$0.4548 \times 10^{- 3}$	0.51
295	II	500	$2.3595 \times 10^{- 2}$	$2.7087 \times 10^{- 2}$	$0.0370 \times 10^{- 2}$	14.80	$2.2911 \times 10^{- 2}$	$0.0275 \times 10^{- 2}$	−2.89
560	II	100	0.1609	0.1735	0.0034	7.83	0.1569	0.0031	2.49
850	II	20	0.4812	0.5069	0.0065	5.34	0.4704	0.0062	−2.24
550	III	500	0.1530	0.1708	0.0052	11.63	0.1589	0.0047	3.86
865	III	100	0.5021	0.5341	0.0104	6.37	0.4972	0.0088	−0.98
1150	III	20	0.9616	1.0010	0.0321	4.10	0.9322	0.0094	−3.06

	Saturated Temperature/°C
Integration Time (µs)	Filter I	Filter II	Filter III
20	477.6	1317.7	6138.2
100	278.9	655.4	1974.2
500	161.4	368.2	884.2
2500	77.9	195.8	462.3

	Filter I		Filter II		Filter III
Coefficient	Comparison Method	Proposed Method	Comparison Method	Proposed Method	Comparison Method	Proposed Method
$G / [\times 10^{4} D N / (µ s \cdot W \cdot {c m}^{- 2} \cdot {s r}^{- 1})]$	0.7125	0.6973	0.7125	0.6973	0.7125	0.6973
$h_{det} / (\times 10^{3} D N)$	1.1008	1.1323	1.1008	1.1323	1.1008	1.1323
$h_{s} / [\times 10^{- 4} / (W \cdot {c m}^{- 2} \cdot {s r}^{- 1})]$	1.8664	1.8530	1.8664	1.8530	1.8664	1.8530
$h_{n d} / [\times 10^{- 4} / (W \cdot {c m}^{- 2} \cdot {s r}^{- 1})]$	——	——	15.0306	30.8539	170.8301	162.3483
$τ$	1	1	0.0712	0.0797	0.0067	0.0073

Abstract

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Applied Optics