Volume 48 Issue 2
Feb.  2019
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Zhang Hui, Li Guoping, Zhang Yong, Hu Shouwei. Spot centroid extraction algorithm based on three-dimensional arctangent function fitting[J]. Infrared and Laser Engineering, 2019, 48(2): 226001-0226001(8). doi: 10.3788/IRLA201948.0226001
Citation: Zhang Hui, Li Guoping, Zhang Yong, Hu Shouwei. Spot centroid extraction algorithm based on three-dimensional arctangent function fitting[J]. Infrared and Laser Engineering, 2019, 48(2): 226001-0226001(8). doi: 10.3788/IRLA201948.0226001
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Spot centroid extraction algorithm based on three-dimensional arctangent function fitting

doi: 10.3788/IRLA201948.0226001
  • 1.

    Nanjing Institute of Astronomical Optics & Technology,National Astronomical Observatories,Chinese Academy of Sciences,Nanjing 210042,China;

  • 2.

    Key Laboratory of Astronomical Optics & Technology,Nanjing Institute of Astronomical Optics & Technology,Chinese Academy of Sciences,Nanjing 210042,China;

  • 3.

    University of Chinese Academy of Sciences,Beijing 100049,China

  • Received Date: 2018-09-05
  • Rev Recd Date: 2018-10-15
  • Publish Date: 2019-02-25
  • The precision and stability of spot centroid location were crucial in many fields. According to the edge blurring principle on the optical system, a new algorithm of spot centroid extraction was proposed. The proposed algorithm, based on the arctangent function, can be used to fit the gray distribution of the light spot by variable substitution, and then the centroid of spot can be obtained. In the process of solution, the Gauss-Newton method was adopted to iterate, and then the least square method was used for optimal estimation. Firstly, the advantage and disadvantages of the proposed algorithm between the traditional algorithms were obvious through comparison analysis, and then the feasibility was validated experimentally. The experimental results show that the location precision of the spot centroid is 0.125 3 pixels, and the angle measurement accuracy of the photoelectric sensor is 0.172 3, superior to the sensor's technical requirement 0.25. The robustness of the proposed algorithm to noise, contrast, aspect ratio and size is superior to the traditional algorithms. The experimental results were stable and reliable, and meet the requirement of the angle sensor.
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    [2] Grass David, Fesel Julian, Hofer Sebastian G, et al. Optical trapping and control of nanoparticles inside evacuated hollow core photonic crystal fibers[J]. Applied Physics Letters, 2016, 108(22):1-8.
    [3] Xin Lei, Xu Lijun, Cao Zhang. Laser spot center location by using the garddient-based and least square algorithms[C]//IEEE International Instrumentation and Measurement Technology Conference, 2013:1242-1245.
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    [5] Jeremie Fish, Jan Scrimgeour. Fast weighted centroid algorithm for single particle localization near the information limit[J]. Applied Optics, 2015, 54(20):6360-6366.
    [6] Qian Feng, Yang Mingyu, Zhang Xiaopei. Improvement of localization accuracy of spot centroid based on sequential images[J]. Optics and Precision Engineering, 2016, 24(11):2880-2888. (in Chinese)
    [7] Wang Dan, Liao Yanbiao, Zhang Min. Analysis of precisions of parameters calculated by ellipse fitting in double beam interferometer[J]. Acta Optica Sinica, 2016, 36(3):105-110. (in Chinese)王丹, 高廖延, 张敏. 双光束干涉仪中椭圆拟合估算的参数精度研究[J]. 光学学报, 2016, 36(3):105-110.
    [8] Wang Lili, Hu Zhongwen, Ji Hangxin. Laser spot center location algorithm based on Gaussian fitting[J]. Journal of Applied Optics, 2012, 33(5):987-990. (in Chinese)王丽丽, 胡中文, 季杭馨. 基于高斯拟合的激光光斑中心定位算法[J]. 应用光学, 2012, 33(5):987-990.
    [9] Tang Yanqin, Gu Guohua, Qian Weixian, et al. Laser spot center location algorithm of four-quadrant detector based on Gaussian distribution[J]. Infrared and Laser Engineering, 2017, 46(2):0206003. (in Chinese)唐艳琴, 顾国华, 钱惟贤, 等. 四象限探测器基于高斯分布的激光光斑中心定位算法[J]. 红外与激光工程, 2017, 46(2):0206003.
    [10] Wang Zhengzhou, Hu Bingliang, Yin Qinye, et al. Method for measuring laser spot center based on multi-dimensional reconstruction in integrated diagnostic system[J]. Infrared and Laser Engineering, 2015, 44(S1):73-79. (in Chinese)王拯洲, 胡炳樑, 殷勤业, 等. 综合诊断系统多维度重构小孔光斑中心测量方法[J]. 红外与激光工程, 2015, 44(S1):73-79.
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    [12] Sun Lihuan, Zhao Xiaoyang, Gao Lingyu, et al. Measurement of laser spot center position based on sub pixel positioning technoloty[J]. Laser Technology, 2017, 41(4):011. (in Chinese)孙立环, 赵霄洋, 高凌妤, 等. 基于亚像素定位技术的激光光斑中心位置测量[J]. 激光技术, 2017, 41(4):011.
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Spot centroid extraction algorithm based on three-dimensional arctangent function fitting

doi: 10.3788/IRLA201948.0226001
  • 1. Nanjing Institute of Astronomical Optics & Technology,National Astronomical Observatories,Chinese Academy of Sciences,Nanjing 210042,China;
  • 2. Key Laboratory of Astronomical Optics & Technology,Nanjing Institute of Astronomical Optics & Technology,Chinese Academy of Sciences,Nanjing 210042,China;
  • 3. University of Chinese Academy of Sciences,Beijing 100049,China
  • Received Date: 2018-09-05
  • Rev Recd Date: 2018-10-15
  • Publish Date: 2019-02-25

Abstract: The precision and stability of spot centroid location were crucial in many fields. According to the edge blurring principle on the optical system, a new algorithm of spot centroid extraction was proposed. The proposed algorithm, based on the arctangent function, can be used to fit the gray distribution of the light spot by variable substitution, and then the centroid of spot can be obtained. In the process of solution, the Gauss-Newton method was adopted to iterate, and then the least square method was used for optimal estimation. Firstly, the advantage and disadvantages of the proposed algorithm between the traditional algorithms were obvious through comparison analysis, and then the feasibility was validated experimentally. The experimental results show that the location precision of the spot centroid is 0.125 3 pixels, and the angle measurement accuracy of the photoelectric sensor is 0.172 3, superior to the sensor's technical requirement 0.25. The robustness of the proposed algorithm to noise, contrast, aspect ratio and size is superior to the traditional algorithms. The experimental results were stable and reliable, and meet the requirement of the angle sensor.

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