• Laser & Optoelectronics Progress
  • Vol. 57, Issue 7, 071203 (2020)
Zonghua Zhang, Sen Wang, Yuying Wang, Ang Zhang, Zhaozong Meng, Yanjun Xiao, and Nan Gao*
Author Affiliations
  • School of Mechanical Engineering, Hebei University of Technology, Tianjin 300130, China
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    DOI: 10.3788/LOP57.071203 Cite this Article Set citation alerts
    Zonghua Zhang, Sen Wang, Yuying Wang, Ang Zhang, Zhaozong Meng, Yanjun Xiao, Nan Gao. Method for Extracting the Center of Circular Coded Target Based on Radial Straight Line Fitting of Circular Coding[J]. Laser & Optoelectronics Progress, 2020, 57(7): 071203 Copy Citation Text show less
    Schneider coding mark before and after projection transformation. (a) Marked point of object plane; (b) marked point of image plane
    Fig. 1. Schneider coding mark before and after projection transformation. (a) Marked point of object plane; (b) marked point of image plane
    Principle diagram of line edge segmentation. (a) Principle of segmentation; (b) result of segmentation
    Fig. 2. Principle diagram of line edge segmentation. (a) Principle of segmentation; (b) result of segmentation
    Simulated straight line edge. (a) Simulated line image; (b) local enlarged image
    Fig. 3. Simulated straight line edge. (a) Simulated line image; (b) local enlarged image
    Comparison of center extraction methods for the simulation image. (a) Simulation image; (b) local enlarged image
    Fig. 4. Comparison of center extraction methods for the simulation image. (a) Simulation image; (b) local enlarged image
    Effect of radius ratio on accuracy of extraction center
    Fig. 5. Effect of radius ratio on accuracy of extraction center
    Effect of the number of code segments on the accuracy of the extraction center
    Fig. 6. Effect of the number of code segments on the accuracy of the extraction center
    Effect of Gaussian noise standard deviation on the accuracy of extraction center
    Fig. 7. Effect of Gaussian noise standard deviation on the accuracy of extraction center
    Schematic diagram of object plane rotation around y axis
    Fig. 8. Schematic diagram of object plane rotation around y axis
    Effect of rotation angle change on center extraction error
    Fig. 9. Effect of rotation angle change on center extraction error
    Effect of radius proportional change on center extraction error
    Fig. 10. Effect of radius proportional change on center extraction error
    Comparison of center extraction on test target. (a) Test target image; (b) comparison of center extraction
    Fig. 11. Comparison of center extraction on test target. (a) Test target image; (b) comparison of center extraction
    Target object figure of camera calibration
    Fig. 12. Target object figure of camera calibration
    Reprojection errors of camera calibration. (a) Ellipse fitting method; (b) our proposed method
    Fig. 13. Reprojection errors of camera calibration. (a) Ellipse fitting method; (b) our proposed method
    VarianceSpline interpolationGray momentGaussian fitting
    00.062210.024850.03164
    0.020.087910.048190.04522
    0.040.113820.086260.05933
    Table 1. Error comparison of sub-pixel edge detection methodsunit: pixel
    Internal parameterEllipse fitting methodOur proposed method
    Focal length /pixel[5007.32811,5025.90208][5005.34268,5021.64263]
    Principal point/ pixel[1214.75117, 1004.68028][1219.41292, 1003.17260]
    Distortion[-0.07498,-0.09976,0.00108,
    -0.00340,0.00000]
    [-0.08177,0.01444,0.00057,
    -0.00286,0.00000]
    Pixel error /pixel[0.45580, 0.34923][0.33863, 0.29403]
    Table 2. Comparison of camera calibration results
    Zonghua Zhang, Sen Wang, Yuying Wang, Ang Zhang, Zhaozong Meng, Yanjun Xiao, Nan Gao. Method for Extracting the Center of Circular Coded Target Based on Radial Straight Line Fitting of Circular Coding[J]. Laser & Optoelectronics Progress, 2020, 57(7): 071203
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