• Acta Optica Sinica
  • Vol. 37, Issue 9, 0915001 (2017)
Lianxiong Liu1, Changhua Hu1、*, 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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    DOI: 10.3788/AOS201737.0915001 Cite this Article Set citation alerts
    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 Copy Citation Text show less
    Image with barrel distortion
    Fig. 1. Image with barrel distortion
    Line-fitting diagram only considering the deviation in range
    Fig. 2. Line-fitting diagram only considering the deviation in range
    Camera distortion model under image coordinate system
    Fig. 3. Camera distortion model under image coordinate system
    (a) Standard image for simulation; (b) distorted image for simulation; (c) image by edge-detection
    Fig. 4. (a) Standard image for simulation; (b) distorted image for simulation; (c) image by edge-detection
    Distortion coefficients obtained by random experiments for 50 times when noise variance σ=1 pixel. (a) k1; (b) k2
    Fig. 5. Distortion coefficients obtained by random experiments for 50 times when noise variance σ=1 pixel. (a) k1; (b) k2
    Relationship between RMSE and noise level
    Fig. 6. Relationship between RMSE and noise level
    Experiment 1Experiment 2
    Obtained image
    Gray image by corner detection
    Optimized image
    Distortion coefficientk1=3.7512×10-7k2=5.6537×10-12u~0=3002.17 pixelv~0=2003.43 pixelk1=3.8247×10-7k2=5.7482×10-12u~0=3004.26 pixelv~0=2002.04 pixel
    Table 1. Image and data of actual experiments
    Methods-'l /pixelRMSE /pixel
    Proposed method0.460.47
    Method 11.371.53
    Method 20.550.68
    Table 2. Comparison of experimental results
    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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