• Laser & Optoelectronics Progress
  • Vol. 56, Issue 2, 021501 (2019)
Hehui Geng, Hong Zhao*, Penghui Bu, Yueyang Ma, Yiying Zhuang, and Zhentao Fu
Author Affiliations
  • State Key Laboratory for Manufacturing Systems Engineering, School of Mechanic Engineering, Xi'an Jiaotong University, Xi'an, Shaanxi 710049, China
  • show less
    DOI: 10.3788/LOP56.021501 Cite this Article Set citation alerts
    Hehui Geng, Hong Zhao, Penghui Bu, Yueyang Ma, Yiying Zhuang, Zhentao Fu. High Accuracy Positioning Method Based on 2D Imaging for the Coordinates of the Center of a Sphere[J]. Laser & Optoelectronics Progress, 2019, 56(2): 021501 Copy Citation Text show less
    Sphere imaging model
    Fig. 1. Sphere imaging model
    Imaging distortion analyze of spherical center
    Fig. 2. Imaging distortion analyze of spherical center
    Simulation of factors affecting the imaging distortion errors of spherical center. (a) L=1000 mm; (b) L=600 mm
    Fig. 3. Simulation of factors affecting the imaging distortion errors of spherical center. (a) L=1000 mm; (b) L=600 mm
    Influence of noise on the proposed method
    Fig. 4. Influence of noise on the proposed method
    Influence of noise on the proposed algorithm under missing edge
    Fig. 5. Influence of noise on the proposed algorithm under missing edge
    Experimental image
    Fig. 6. Experimental image
    Experimental results. (a) Distance between adjacent positions; (b) cumulative deviation
    Fig. 7. Experimental results. (a) Distance between adjacent positions; (b) cumulative deviation
    Sphere image after removing 1/4 of the edge
    Fig. 8. Sphere image after removing 1/4 of the edge
    Experimental results after removing 1/4 edges. (a) Distance between adjacent positions; (b) cumulative deviation
    Fig. 9. Experimental results after removing 1/4 edges. (a) Distance between adjacent positions; (b) cumulative deviation
    PositionTraditional methodThis methodDeviation
    U /pixelV /pixelU /pixelV /pixelδU /pixelδV /pixel
    11011.6451504.6731020.8791506.2809.2331.607
    21242.1011511.7971249.0511513.3026.9501.505
    31466.3411518.7511471.5321520.1345.1911.383
    41684.6811525.5441688.4371526.8263.7561.282
    51897.3321532.1771899.8911533.3752.5591.197
    62104.3751538.6272105.9171539.7471.5431.119
    72305.8761544.9152306.5141545.9760.6391.061
    82501.8751551.0302501.7051552.036-0.1701.006
    92692.4291557.0262691.5081557.984-0.9210.959
    102877.6491562.8382876.0131563.757-1.6370.919
    113057.6591568.4873055.3321569.362-2.3270.875
    Table 1. Comparison between the results of the traditional method and proposed method
    Traditional method (complete edge)Proposedmethod (complete edge)Proposedmethod (1/4 edges missing)
    x/mmy/mmz/mmx/mmy/mmz/mmx/mmy/mmz/mm
    -62.868-5.101233.666-62.432-5.008233.572-62.543-5.086233.820
    -53.424-4.888237.221-53.119-4.821237.261-53.157-4.849237.333
    -43.964-4.661240.688-43.753-4.597240.824-43.756-4.621240.797
    -34.506-4.432244.103-34.362-4.366244.306-34.354-4.387244.237
    -25.057-4.199247.504-24.962-4.135247.743-24.954-4.153247.653
    -15.621-3.965250.910-15.565-3.901251.164-15.559-3.916251.082
    -6.197-3.726254.337-6.173-3.661254.590-6.173-3.673254.529
    3.217-3.485257.7893.211-3.420258.0253.208-3.427257.994
    12.624-3.238261.27012.589-3.172261.48112.587-3.175261.474
    22.030-2.986264.77521.963-2.920264.95421.963-2.918264.967
    31.436-2.730268.29431.335-2.665268.44131.336-2.658268.477
    Table 2. Comparison of the results before and after the removal of 1/4 edge points
    Hehui Geng, Hong Zhao, Penghui Bu, Yueyang Ma, Yiying Zhuang, Zhentao Fu. High Accuracy Positioning Method Based on 2D Imaging for the Coordinates of the Center of a Sphere[J]. Laser & Optoelectronics Progress, 2019, 56(2): 021501
    Download Citation