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Laser & Optoelectronics Progress, Volume. 56, Issue 2, 021501(2019)

High Accuracy Positioning Method Based on 2D Imaging for the Coordinates of the Center of a Sphere

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
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    AbstractGet PDF(in Chinese)
    Figures&Tables (11)
    Equations (0)
    References (14)
    Cited By (3)
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    Figures & Tables(11)
    Sphere imaging model

    Fig. 1. Sphere imaging model

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    Imaging distortion analyze of spherical center

    Fig. 2. Imaging distortion analyze of spherical center

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    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

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    Influence of noise on the proposed method

    Fig. 4. Influence of noise on the proposed method

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    Influence of noise on the proposed algorithm under missing edge

    Fig. 5. Influence of noise on the proposed algorithm under missing edge

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    Experimental image

    Fig. 6. Experimental image

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    Experimental results. (a) Distance between adjacent positions; (b) cumulative deviation

    Fig. 7. Experimental results. (a) Distance between adjacent positions; (b) cumulative deviation

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    Sphere image after removing 1/4 of the edge

    Fig. 8. Sphere image after removing 1/4 of the edge

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    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

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    • Table 1. Comparison between the results of the traditional method and proposed method

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      Table 1. Comparison between the results of the traditional method and proposed method

      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 2. Comparison of the results before and after the removal of 1/4 edge points

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      Table 2. Comparison of the results before and after the removal of 1/4 edge points

      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
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    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

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    Paper Information

    Category: Machine Vision

    Received: Jul. 19, 2018

    Accepted: Jul. 30, 2018

    Published Online: Aug. 1, 2019

    The Author Email: Zhao Hong (zhaohong@xjtu.edu.cn)

    DOI:10.3788/LOP56.021501

    Topics

    laser devices and laser physics
    Lasers and Laser Optics
    Laser physics
    laser manufacturing
    Instrumentation, Measurement and Metrology