Optical distortion correction methods for infrared and visible light bombing ballistic theodolites in testing ranges

Table 1. Relevant parameters of visible light and infrared lenses
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Table 1. Relevant parameters of visible light and infrared lenses
视场大小/（°）光敏面像元数像元尺寸/μm 焦距/ mm 单位像元分辨率/（″）
红外 19.4 × 15.6 1 280×1 024 15 56 55.25
可见光 42.0 × 33.6 1 280×1 024 9 15 173.26

Table 2. Standard deviation of residuals of composite angle correction using polynomial fitting with different degrees (″)
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Table 2. Standard deviation of residuals of composite angle correction using polynomial fitting with different degrees (″)
红外影像可见光影像
ΔA ΔE ΔA ΔE
二阶 7.60 6.57 207.04 180.43
三阶 4.81 4.79 22.14 19.67
五阶 4.81 4.89 9.86 9.98

Table 3. Standard deviation of residuals of composite angle correction using different kernel functions for fitting (″)
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Table 3. Standard deviation of residuals of composite angle correction using different kernel functions for fitting (″)
红外影像可见光影像
平滑因子 ΔA ΔE 平滑因子 ΔA ΔE
正双曲面 $1.02 h_{\max}$ 4.83 4.95 $0.7 h_{\max}$ 9.71 10.14
倒双曲面 $0.72 h_{\max}$ 5.06 5.08 $0.8 h_{\max}$ 9.55 10.05

Table 4. Standard deviation of residuals of composite angle correction using Kriging interpolation with different pre-set parameters (″)

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Table 4. Standard deviation of residuals of composite angle correction using Kriging interpolation with different pre-set parameters (″)

相关函数	回归模型	红外影像			可见光影像
相关函数	回归模型	$θ$	ΔA	ΔE	$θ$	ΔA	ΔE
球面函数	常量回归	0.02	6.06	7.2	0.3	12.67	13.76
	一次回归	2.2	6.25	6.12	1.3	12.19	13.80
	二次回归	2.9	5.54	5.42	1.3	12.19	13.82
高斯函数	常量回归	0.001	4.79	5.10	0.013	9.67	13.76
	一次回归	0.001	4.75	5.17	0.013	9.69	13.62
	二次回归	0.001	4.74	5.14	0.013	9.67	13.72
指数函数	常量回归	0.01	6.09	7.08	0.6	12.63	13.66
	一次回归	4.3	6.01	6.08	2.5	12.08	13.74
	二次回归	7.0	5.47	5.42	2.5	12.08	13.75

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Guodong YU, Chunyang WANG, Jianghai FENG, Zhongqi LI, Pengyu XU, Peng HAN, Xinze LI, Feng XU. Optical distortion correction methods for infrared and visible light bombing ballistic theodolites in testing ranges[J]. Journal of Applied Optics, 2025, 46(1): 170

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Paper Information

Category:

Received: Apr. 9, 2024

Accepted: --

Published Online: Apr. 1, 2025

The Author Email: Jianghai FENG (冯江海)

DOI:10.5768/JAO202546.0105002

Topics

laser devices and laser physics

Lasers and Laser Optics

Laser physics

laser manufacturing

Instrumentation, Measurement and Metrology

Table 1. Relevant parameters of visible light and infrared lenses

Table 1. Relevant parameters of visible light and infrared lenses

Table 2. Standard deviation of residuals of composite angle correction using polynomial fitting with different degrees (″)

Table 2. Standard deviation of residuals of composite angle correction using polynomial fitting with different degrees (″)

Table 3. Standard deviation of residuals of composite angle correction using different kernel functions for fitting (″)

Table 3. Standard deviation of residuals of composite angle correction using different kernel functions for fitting (″)

Table 4. Standard deviation of residuals of composite angle correction using Kriging interpolation with different pre-set parameters (″)

Table 4. Standard deviation of residuals of composite angle correction using Kriging interpolation with different pre-set parameters (″)