Journal of Applied Optics, Volume. 46, Issue 3, 622(2025)

Spot center approximation method with minimum gray-scale difference of indexed ring

Yaqi WANG1, Xiao LI1,2、*, Rui ZHANG2, Zhibin WANG2,3, Shuai YANG1, Zhentao WU3, and Zewei ZHAO1
Author Affiliations
  • 1School of Electrical and Control Engineering, North University of China, Taiyuan 030051, China
  • 2Technology Innovation Center of Shanxi Provincial for Intelligent Microwave Photoelectric, Taiyuan 030051, China
  • 3School of Instrument and Electronics, North University of China, Taiyuan 030051, China
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    Figures & Tables(13)
    Laser spot model
    3D view of energy distribution
    Distribution of grayscale difference in indexed ring
    Flow chart of algorithm
    Approximation trend of indexed ring
    Spot model samples from the same group
    Results of center calculation in spot models
    Laser spot image acquisition system
    Original spot image and its energy distribution
    Processed spot image and its energy distribution
    Results of center calculation in actual spots
    • Table 1. Average errors of calculation results for each group of samples under different algorithms pixel

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      Table 1. Average errors of calculation results for each group of samples under different algorithms pixel

      SampleGrayscale centroidCircle fittingHough transformGaussian fittingMGDIR
      Aηx0.00130.01570.06830.00580.0010
      ηy0.00110.01450.06500.00480.0009
      Bηx0.00230.01790.07020.00630.0013
      ηy0.00280.02100.09440.00810.0015
      Cηx0.00300.02490.09220.00780.0016
      ηy0.00130.01420.05600.00540.0010
      Meanη¯x0.00220.01950.07690.00660.0013
      η¯y0.00170.01660.07180.00610.0011
    • Table 2. Standard deviation of calculation results for each group of samples under different algorithms pixel

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      Table 2. Standard deviation of calculation results for each group of samples under different algorithms pixel

      SampleGrayscale centroidCircle fittingHough transformGaussian fittingMGDIR
      Aσx0.17320.90120.60093.19020.1438
      σy0.42841.91420.40072.83000.0883
      Bσx0.22801.41300.54510.93040.2099
      σy0.29261.77060.44764.26230.2228
      Cσx0.90591.78770.46334.48900.1421
      σy1.31372.62400.54963.28760.2468
      Meanσ¯x0.45371.36730.53642.86990.1653
      σ¯y0.67822.10290.46603.46000.1860
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    Yaqi WANG, Xiao LI, Rui ZHANG, Zhibin WANG, Shuai YANG, Zhentao WU, Zewei ZHAO. Spot center approximation method with minimum gray-scale difference of indexed ring[J]. Journal of Applied Optics, 2025, 46(3): 622

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    Paper Information

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    Received: May. 29, 2024

    Accepted: --

    Published Online: May. 28, 2025

    The Author Email: Xiao LI (李晓)

    DOI:10.5768/JAO202546.0302002

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