An Improved Non-Metric Distortion Calibration Method Based on Straight Line Characteristics

Lianxiong Liu; Changhua Hu; Chuan He; Zhijie Zhou; Yushan Zhao

doi:10.3788/AOS201737.0915001

Acta Optica Sinica, Volume. 37, Issue 9, 0915001(2017)

An Improved Non-Metric Distortion Calibration Method Based on Straight Line Characteristics

Lianxiong Liu¹, Changhua Hu^1、*, Chuan He², Zhijie Zhou¹, and Yushan Zhao¹

Author Affiliations

¹ Department of Control Engineering, Rocket Force University of Engineering, Xi'an, Shaanxi 710025, China

² Department of Nuclear Engineering, Rocket Force University of Engineering, Xi'an, Shaanxi 710025, China

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Figures & Tables(8)

Fig. 1. Image with barrel distortion

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Fig. 2. Line-fitting diagram only considering the deviation in range

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Fig. 3. Camera distortion model under image coordinate system

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Fig. 4. (a) Standard image for simulation; (b) distorted image for simulation; (c) image by edge-detection

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Fig. 5. Distortion coefficients obtained by random experiments for 50 times when noise variance σ=1 pixel. (a) k1; (b) k2

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Fig. 6. Relationship between RMSE and noise level

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Table 1. Image and data of actual experiments

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Table 1. Image and data of actual experiments

	Experiment 1	Experiment 2
Obtained image
Gray image by corner detection
Optimized image
Distortion coefficient	k₁=3.7512×10^-7k₂=5.6537×10^-12 $\begin{matrix} {\tilde{u}}_{0} \end{matrix}$ =3002.17 pixel $\begin{matrix} {\tilde{v}}_{0} \end{matrix}$ =2003.43 pixel	k₁=3.8247×10^-7k₂=5.7482×10^-12 $\begin{matrix} {\tilde{u}}_{0} \end{matrix}$ =3004.26 pixel $\begin{matrix} {\tilde{v}}_{0} \end{matrix}$ =2002.04 pixel

Table 2. Comparison of experimental results
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Table 2. Comparison of experimental results
Method $\begin{matrix} \bar{s} \end{matrix}$ '_l /pixel RMSE /pixel
Proposed method 0.46 0.47
Method 1 1.37 1.53
Method 2 0.55 0.68

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Lianxiong Liu, Changhua Hu, Chuan He, Zhijie Zhou, Yushan Zhao. An Improved Non-Metric Distortion Calibration Method Based on Straight Line Characteristics[J]. Acta Optica Sinica, 2017, 37(9): 0915001

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