Vision measurement error analysis for nonlinear light refraction at high temperature

Huaxia Deng; Fei Wang; Jin Zhang; Guoce Hu; Mengchao Ma; Xiang Zhong

doi:10.1364/AO.57.005556

Applied Optics
Vol. 57,
Issue 20,
pp. 5556-5565
(2018)
•https://doi.org/10.1364/AO.57.005556

Vision measurement error analysis for nonlinear light refraction at high temperature

Huaxia Deng, Fei Wang, Jin Zhang, Guoce Hu, Mengchao Ma, and Xiang Zhong

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Huaxia Deng, Fei Wang, Jin Zhang, Guoce Hu, Mengchao Ma, and Xiang Zhong, "Vision measurement error analysis for nonlinear light refraction at high temperature," Appl. Opt. 57, 5556-5565 (2018)

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Abstract

For vision measurement at high temperature, pixel error from light refraction by high temperature is a problem that cannot be neglected. The refractive index distribution is nonlinear around the high-temperature component, leading to the light deflection. In this paper, the influence of measurement parameters on the deflection of imaging light and the accuracy after binocular reconstruction are systematically analyzed. The heat transfer theory is used to simulate the air temperature distribution near the measured component, and the corresponding refractive index distribution of air is obtained according to the refractive index formula. Then, the imaging measurement model of the nonlinear refractive index air medium for the high-temperature component is established to obtain the light deflection error. The binocular vision system reconstruction theory is applied to evaluate the measurement error between the theoretical reconstruction point and the object point. The influences of error sources, such as the temperature, optical wavelength, and camera parameters, are investigated systematically. It is found that temperature and base distance are the largest error sources on the final measurement error when the measured distance is fixed.

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Equations (19)

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Influencing Factors			Error Value (mm)
$T = 673 K$	$λ = 380 nm$	$θ_{0} = 5 °$	0.025
		$θ_{0} = 10 °$	0.052
		$θ_{0} = 15 °$	0.083
		$θ_{0} = 20 °$	0.119
$T = 673 K$	$θ_{0} = 10 °$	$λ = 380 nm$	0.052
		$λ = 650 nm$	0.051
		$λ = 760 nm$	0.051
		$λ = 1000 nm$	0.051
		$λ = 1400 nm$	0.050
$λ = 380 nm$	$θ_{0} = 10 °$	$T = 573 K$	0.048
		$T = 673 K$	0.052
		$T = 773 K$	0.054
		$T = 873 K$	0.055
		$T = 973 K$	0.055

Influencing Factors			Error Value (mm)
$T = 973 K$	$θ_{0} = 10 °$	$λ = 380 nm$	0.227
		$λ = 650 nm$	0.221
		$λ = 760 nm$	0.220
		$λ = 1000 nm$	0.219
		$λ = 1400 nm$	0.218
$λ = 380 nm$	$θ_{0} = 10 °$	$T = 573 K$	0.169
		$T = 673 K$	0.191
		$T = 773 K$	0.207
		$T = 873 K$	0.218
		$T = 973 K$	0.227
$λ = 380 nm$	$T = 973 K$	$θ_{0} = 5 °$	0.110
		$θ_{0} = 10 °$	0.227
		$θ_{0} = 15 °$	0.358
		$θ_{0} = 20 °$	0.514
$λ = 380 nm$	$T = 973 K$	$B = 240 mm$	0.024
		$B = 400 mm$	0.228
		$B = 580 mm$	0.515

Influencing Factors			Error Value (mm)
$f = 16 mm B = 520 mm$	$T = 973 K$	$λ = 380 nm$	2.152
		$λ = 650 nm$	2.095
		$λ = 760 nm$	2.087
		$λ = 1000 nm$	2.078
		$λ = 1400 nm$	2.072
$λ = 380 nm$	$T = 973 K$	$f = 12 mm$	2.374
		$f = 16 mm$	2.152
		$f = 25 mm$	2.064
$f = 16 mm λ = 380 nm$	$B = 400 mm$	$T = 573 K$	1.466
		$T = 673 K$	1.694
		$T = 773 K$	1.864
		$T = 873 K$	1.994
		$T = 973 K$	2.098
$f = 16 mm B = 520 mm$	$λ = 380 nm$	$T = 573 K$	1.504
		$T = 673 K$	1.738
		$T = 773 K$	1.912
		$T = 873 K$	2.046
		$T = 973 K$	2.152

Influencing Factors			Error Value (mm)
$T = 673 K$	$λ = 380 nm$	$θ_{0} = 5 °$	0.025
		$θ_{0} = 10 °$	0.052
		$θ_{0} = 15 °$	0.083
		$θ_{0} = 20 °$	0.119
$T = 673 K$	$θ_{0} = 10 °$	$λ = 380 nm$	0.052
		$λ = 650 nm$	0.051
		$λ = 760 nm$	0.051
		$λ = 1000 nm$	0.051
		$λ = 1400 nm$	0.050
$λ = 380 nm$	$θ_{0} = 10 °$	$T = 573 K$	0.048
		$T = 673 K$	0.052
		$T = 773 K$	0.054
		$T = 873 K$	0.055
		$T = 973 K$	0.055

Influencing Factors			Error Value (mm)
$T = 973 K$	$θ_{0} = 10 °$	$λ = 380 nm$	0.227
		$λ = 650 nm$	0.221
		$λ = 760 nm$	0.220
		$λ = 1000 nm$	0.219
		$λ = 1400 nm$	0.218
$λ = 380 nm$	$θ_{0} = 10 °$	$T = 573 K$	0.169
		$T = 673 K$	0.191
		$T = 773 K$	0.207
		$T = 873 K$	0.218
		$T = 973 K$	0.227
$λ = 380 nm$	$T = 973 K$	$θ_{0} = 5 °$	0.110
		$θ_{0} = 10 °$	0.227
		$θ_{0} = 15 °$	0.358
		$θ_{0} = 20 °$	0.514
$λ = 380 nm$	$T = 973 K$	$B = 240 mm$	0.024
		$B = 400 mm$	0.228
		$B = 580 mm$	0.515

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Applied Optics