• Laser & Optoelectronics Progress
  • Vol. 57, Issue 18, 181510 (2020)
Weisong Yang, Shuaiping Guo*, Xuejun Li, and Hongguang Li
Author Affiliations
  • Hunan Key Laboratory of Mechanical Equipment Health Maintenance, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China
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    DOI: 10.3788/LOP57.181510 Cite this Article Set citation alerts
    Weisong Yang, Shuaiping Guo, Xuejun Li, Hongguang Li. Checkerboard Corner Detection Based on Hough Transform and Circular Template[J]. Laser & Optoelectronics Progress, 2020, 57(18): 181510 Copy Citation Text show less
    Checkerboard projection imaging model
    Fig. 1. Checkerboard projection imaging model
    Checkerboard on imaging plane
    Fig. 2. Checkerboard on imaging plane
    Hough transform schematic
    Fig. 3. Hough transform schematic
    Results of checkerboard straight line separation under Hough transform. (a) Original image; (b) image after straight line separation
    Fig. 4. Results of checkerboard straight line separation under Hough transform. (a) Original image; (b) image after straight line separation
    Discrimination of the USAN area of the circular template. (a) Circular template near the corner point; (b) distribution of the USAN area corresponding to the template
    Fig. 5. Discrimination of the USAN area of the circular template. (a) Circular template near the corner point; (b) distribution of the USAN area corresponding to the template
    Mathematical model of the circular template USAN region
    Fig. 6. Mathematical model of the circular template USAN region
    Corner precise positioning. (a) Template kernel coordinate extraction; (b) corner search area; (c) minimization criterion positioning
    Fig. 7. Corner precise positioning. (a) Template kernel coordinate extraction; (b) corner search area; (c) minimization criterion positioning
    Experimental site and equipment
    Fig. 8. Experimental site and equipment
    Corner detection results of the method in this paper
    Fig. 9. Corner detection results of the method in this paper
    Scattered point distributions of reprojection error. (a) Method of this paper; (b) method of Ref. [10]; (c) method of Ref. [16]; (d) method of Ref. [17]
    Fig. 10. Scattered point distributions of reprojection error. (a) Method of this paper; (b) method of Ref. [10]; (c) method of Ref. [16]; (d) method of Ref. [17]
    Results of checkerboard corner detection under different lighting conditions. (a) Dimmed light (g=25.9); (b) medium light (g=76.5); (c) bright light (g=165.8)
    Fig. 11. Results of checkerboard corner detection under different lighting conditions. (a) Dimmed light (g=25.9); (b) medium light (g=76.5); (c) bright light (g=165.8)
    MethodFocal length(f1,f2) /pixelPrincipal point(u0,v0) /pixelRadial distortion(k1, k2)Error δ /pixel
    This paper(5237.42,5238.68)(642.84,514.98)(-0.09124,2.08942)0.0726
    Ref. [10](5236.57,5237.85)(647.47,518.43)(-0.16674,1.74572)0.1565
    Ref. [16](5235.62,5237.46)(646.42,517.74)(-0.17453,-0.92144)0.1402
    Ref. [17](5236.96,5238.04)(648.64,518.65)(-0.14654,0.89426)0.1643
    Table 1. Camera calibration results
    Lighting conditionError δ /pixel
    Dimmed light0.0741
    Medium light0.0729
    Bright light0.0737
    Table 2. Corner detection errors under different lighting conditions
    Weisong Yang, Shuaiping Guo, Xuejun Li, Hongguang Li. Checkerboard Corner Detection Based on Hough Transform and Circular Template[J]. Laser & Optoelectronics Progress, 2020, 57(18): 181510
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