Modeling and optimization of the integrated TDICCD aerial camera pointing error

Xiaoqin Zhou; Hao Liu; Qiang Liu; Jieqiong Lin

doi:10.1364/AO.402276

Applied Optics
Vol. 59,
Issue 27,
pp. 8196-8204
(2020)
•https://doi.org/10.1364/AO.402276

Modeling and optimization of the integrated TDICCD aerial camera pointing error

Xiaoqin Zhou, Hao Liu, Qiang Liu, and Jieqiong Lin

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Xiaoqin Zhou, Hao Liu, Qiang Liu, and Jieqiong Lin, "Modeling and optimization of the integrated TDICCD aerial camera pointing error," Appl. Opt. 59, 8196-8204 (2020)

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Abstract

Aerial cameras are widely used in a number of fields. Various mechanical errors cannot be ignored with the improvement of imaging quality requirements. This paper introduces an integrated time delay integration charge coupled device (TDICCD) aerial camera. Compared with traditional aerial cameras, it can significantly improve shooting efficiency and imaging quality under similar load conditions. This paper first analyzes mechanical errors of the integrated TDICCD aerial camera and establishes a pointing error model based on ray tracing, then performs model parameter identification using a genetic algorithm, and completes error compensation. Finally, test results demonstrate that the compensation of the pointing error can effectively improve pointing accuracy of the optical axis. The mean of comprehensive errors was reduced by an order of magnitude, and the variance of comprehensive errors was reduced from $1.0075 \;{({{\rm mm}})^2}$ to $0.0543 \;{({{\rm mm}})^2}$.

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Name of Mechanical Errors		Symbols
Installation errors of lenses and TDICCD system	Displacement along $O_{F} X_{F}$ axis	${Δ l}_{F X}$
	Displacement along $O_{F} Y_{F}$ axis	${Δ l}_{F Y}$
	Displacement along $O_{F} Z_{F}$ axis	${Δ l}_{F Z}$
	Rotation around $O_{F} X_{F}$ axis	${Δ θ}_{F X}$
	Rotation around $O_{F} Y_{F}$ axis	${Δ θ}_{F Y}$
	Rotation around $O_{F} Z_{F}$ axis	${Δ θ}_{F Z}$
Perpendicularity errors of yaw axis	Rotation around $O_{Y 0} X_{Y 0}$ axis	${Δ θ}_{Y 0 X}$
Perpendicularity errors of yaw axis	Rotation around $O_{Y 0} Z_{Y 0}$ axis	${Δ θ}_{Y 0 Z}$
Rotation errors of yaw axis	Rotation around $O_{Y} X_{Y}$ axis	${Δ θ}_{Y X}$
Rotation errors of yaw axis	Rotation around $O_{Y} Z_{Y}$ axis	${Δ θ}_{Y Z}$
Perpendicularity errors of pitch axis	Rotation around $O_{P 0} X_{P 0}$ axis	${Δ θ}_{P 0 X}$
Perpendicularity errors of pitch axis	Rotation around $O_{P 0} Y_{P 0}$ axis	${Δ θ}_{P 0 Y}$
Rotation errors of pitch axis	Rotation around $O_{P} X_{P}$ axis	${Δ θ}_{P X}$
Rotation errors of pitch axis	Rotation around $O_{P} Y_{P}$ axis	${Δ θ}_{P Y}$
Perpendicularity errors of roll axis	Rotation around $O_{R 0} X_{R 0}$ axis	${Δ θ}_{R 0 X}$
Perpendicularity errors of roll axis	Rotation around $O_{R 0} Z_{R 0}$ axis	${Δ θ}_{R 0 Z}$
Rotation errors of roll axis	Rotation around $O_{R} X_{R}$ axis	${Δ θ}_{R X}$
Rotation errors of roll axis	Rotation around $O_{R} Z_{R}$ axis	${Δ θ}_{R Z}$

	Original Error		Compensation Error
Rotation angle	$α = 0^{\circ}$ , $β = - 15^{\circ} \sim 15^{\circ}$ , $γ = - 30^{\circ} \sim 30^{\circ}$	$α = - 5^{\circ} \sim 5^{\circ}$ , $β = - 15^{\circ} \sim 15^{\circ}$ , $γ = 0^{\circ}$	$α = 0^{\circ}$ , $β = - 15^{\circ} \sim 15^{\circ}$ , $γ = - 30^{\circ} \sim 30^{\circ}$	$α = - 5^{\circ} \sim 5^{\circ}$ , $β = - 15^{\circ} \sim 15^{\circ}$ , $γ = 0^{\circ}$
Mean ( $y$ ) (mm)	−9.1224	−8.3449	−0.4591	−0.1383
Variance ( $y$ ) [ $(m m)^{2}$ ]	2.6539	1.6884	0.8201	0.6475
Mean ( $z$ ) (mm)	3.5112	2.6714	0.434	−0.00043
Variance ( $z$ ) [ $(m m)^{2}$ ]	10.6135	6.9021	0.3695	0.2891
Total mean (mm)	10.1963	9.1017	0.9943	0.6942
Total variance [ $(m m)^{2}$ ]	4.6743	2.3973	0.5879	0.4641

Group Number (Number)	$α$ (°)					$β$ (°)					$γ$ (°)
1 ( $1 \sim 5$ )	0					−15	−10	−5	0	5	0
2 ( $6 \sim 10$ )	−2	−1.5	−1	−0.5	0	−8	−4	0	4	8	0
3 ( $11 \sim 15$ )	0					−3	0	3	6	9	10
4 ( $16 \sim 20$ )	3					0	2	4	6	8	−15
5 ( $21 \sim 25$ )	0	0.5	1	1.5	2	−10	−5	0	5	10	−4	−3	−2	−1	0

Name of Mechanical Errors		Symbols
Installation errors of lenses and TDICCD system	Displacement along $O_{F} X_{F}$ axis	${Δ l}_{F X}$
	Displacement along $O_{F} Y_{F}$ axis	${Δ l}_{F Y}$
	Displacement along $O_{F} Z_{F}$ axis	${Δ l}_{F Z}$
	Rotation around $O_{F} X_{F}$ axis	${Δ θ}_{F X}$
	Rotation around $O_{F} Y_{F}$ axis	${Δ θ}_{F Y}$
	Rotation around $O_{F} Z_{F}$ axis	${Δ θ}_{F Z}$
Perpendicularity errors of yaw axis	Rotation around $O_{Y 0} X_{Y 0}$ axis	${Δ θ}_{Y 0 X}$
Perpendicularity errors of yaw axis	Rotation around $O_{Y 0} Z_{Y 0}$ axis	${Δ θ}_{Y 0 Z}$
Rotation errors of yaw axis	Rotation around $O_{Y} X_{Y}$ axis	${Δ θ}_{Y X}$
Rotation errors of yaw axis	Rotation around $O_{Y} Z_{Y}$ axis	${Δ θ}_{Y Z}$
Perpendicularity errors of pitch axis	Rotation around $O_{P 0} X_{P 0}$ axis	${Δ θ}_{P 0 X}$
Perpendicularity errors of pitch axis	Rotation around $O_{P 0} Y_{P 0}$ axis	${Δ θ}_{P 0 Y}$
Rotation errors of pitch axis	Rotation around $O_{P} X_{P}$ axis	${Δ θ}_{P X}$
Rotation errors of pitch axis	Rotation around $O_{P} Y_{P}$ axis	${Δ θ}_{P Y}$
Perpendicularity errors of roll axis	Rotation around $O_{R 0} X_{R 0}$ axis	${Δ θ}_{R 0 X}$
Perpendicularity errors of roll axis	Rotation around $O_{R 0} Z_{R 0}$ axis	${Δ θ}_{R 0 Z}$
Rotation errors of roll axis	Rotation around $O_{R} X_{R}$ axis	${Δ θ}_{R X}$
Rotation errors of roll axis	Rotation around $O_{R} Z_{R}$ axis	${Δ θ}_{R Z}$

	Original Error		Compensation Error
Rotation angle	$α = 0^{\circ}$ , $β = - 15^{\circ} \sim 15^{\circ}$ , $γ = - 30^{\circ} \sim 30^{\circ}$	$α = - 5^{\circ} \sim 5^{\circ}$ , $β = - 15^{\circ} \sim 15^{\circ}$ , $γ = 0^{\circ}$	$α = 0^{\circ}$ , $β = - 15^{\circ} \sim 15^{\circ}$ , $γ = - 30^{\circ} \sim 30^{\circ}$	$α = - 5^{\circ} \sim 5^{\circ}$ , $β = - 15^{\circ} \sim 15^{\circ}$ , $γ = 0^{\circ}$
Mean ( $y$ ) (mm)	−9.1224	−8.3449	−0.4591	−0.1383
Variance ( $y$ ) [ $(m m)^{2}$ ]	2.6539	1.6884	0.8201	0.6475
Mean ( $z$ ) (mm)	3.5112	2.6714	0.434	−0.00043
Variance ( $z$ ) [ $(m m)^{2}$ ]	10.6135	6.9021	0.3695	0.2891
Total mean (mm)	10.1963	9.1017	0.9943	0.6942
Total variance [ $(m m)^{2}$ ]	4.6743	2.3973	0.5879	0.4641

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Applied Optics