Optimization Method of Camera Calibration Based on Quantum-Behaved Particle Swarm Optimization Algorithm

Daolei Wang; Song Hu

doi:10.3788/LOP55.121502

Journals >Laser & Optoelectronics Progress >Volume 55 >Issue 12 >Page 121502 > Article

Laser & Optoelectronics Progress
Vol. 55, Issue 12, 121502 (2018)

Optimization Method of Camera Calibration Based on Quantum-Behaved Particle Swarm Optimization Algorithm

Daolei Wang^* and Song Hu^**

Author Affiliations

College of Energy and Mechanical Engineering, Shanghai University of Electric Power, Shanghai 200090, China

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DOI: 10.3788/LOP55.121502 Cite this Article Set citation alerts

Daolei Wang, Song Hu. Optimization Method of Camera Calibration Based on Quantum-Behaved Particle Swarm Optimization Algorithm[J]. Laser & Optoelectronics Progress, 2018, 55(12): 121502 Copy Citation Text

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Fig. 1. Model of monocular camera

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Fig. 2. Pictures collected by camera

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Intrinsicparameter	Number of iterations
Intrinsicparameter	0	100	200	300	400	500	600
α	1892.286754	1888.95	1890.53	1891.43	1891.60	1891.62	1891.62
β /pixel	1891.769189	1888.81	1889.86	1890.81	1890.81	1890.81	1890.81
γ /pixel	0	0.015593	0.013358	0.015991	0.012230	0.015422	0.014557
u₀ /pixel	814.852	813.749	813.752	813.752	813.761	813.761	813.761
v₀ /pixel	639.585	638.468	638.487	638.509	638.525	638.526	638.526
k₁	0	-0.042473	-0.074003	-0.090816	-0.094464	-0.0948001	-0.094804
k₂	0	-0.195808	0.024753	0.142105	0.161131	0.162734	0.162750
p₁ /10^-5	0	65.92	17.79	7.426	16.74	-18.87	-18.89
p₂ /10^-5	0	17.49	7.981	-0.2476	-5.251	-5.639	-5.641
f	/	2.200950	0.952022	0.664851	0.630621	0.629836	0.629795

Table 1. Results of camera intrinsic parameter based on QPSO algorithm

Original cornercoordinates (u, v)		Projection coordinates and errorsobtained by proposal algorithm				Projection coordinates and errors obtainedby Zhang's calibration method^[3]
u /pixel	v /pixel	u' /pixel	v' /pixel	$\begin{matrix} \|u - u'\| \end{matrix}$	$\begin{matrix} \|v - v'\| \end{matrix}$	u' /pixel	v' /pixel	$\begin{matrix} \|u - u'\| \end{matrix}$	$\begin{matrix} \|v - v'\| \end{matrix}$
348.550	212.366	348.659	212.434	0.109	0.068	349.685	213.400	1.135	1.034
429.568	213.514	429.602	213.397	0.034	0.117	430.662	214.381	1.095	0.867
510.629	214.410	510.656	214.419	0.027	0.009	511.730	215.406	1.101	0.996
591.706	215.491	591.801	215.523	0.095	0.032	592.880	216.506	1.174	1.015
672.971	216.668	672.994	216.727	0.023	0.059	674.078	217.704	1.106	1.036
754.194	218.135	754.180	218.044	0.014	0.091	755.269	219.015	1.075	0.880
835.281	219.478	835.290	219.479	0.009	0.001	836.388	220.447	1.107	0.969

Table 2. Reliability data verification

Daolei Wang, Song Hu. Optimization Method of Camera Calibration Based on Quantum-Behaved Particle Swarm Optimization Algorithm[J]. Laser & Optoelectronics Progress, 2018, 55(12): 121502

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