Laser & Optoelectronics Progress, Volume. 58, Issue 8, 0812002(2021)

Interference Fringe Center Point Extraction Method Based on Interval Curve Fitting

Ruifeng Zhang and Chang Liu*
Author Affiliations
  • School of Microelectronics, Tianjin University, Tianjin 300072, China
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    Figures & Tables(13)
    Grayscale distribution of interference fringe. (a) Tangential direction; (b) normal direction
    Interference fringe patterns. (a) Original image; (b) R-value image; (c) Gaussian filter image
    Grayscale along normal direction. (a) Original image; (b) after Gaussian filtering
    Schematic of interval fitting
    Results of curve fitting. (a) f1(x); (b) f2(x)
    Images of f1(x) and f2(x) and filtered image
    Image of f(x)=f2(x)-f1(x)
    Extraction results. (a) Interference fringe pattern; (b) centerline extraction result
    Interference fringe patterns. (a) Image 1; (b) image 2; (c) image 3; (d) image 4; (e) image 5
    Known centerline images. (a) Image 6; (b) image 7; (c) image 8; (d) image 9; (e) image 10
    • Table 1. Comparison of statistical parameters of three curve fitting methods

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      Table 1. Comparison of statistical parameters of three curve fitting methods

      Fitting methodSSERMSERsquareRAdj-sq
      Gaussian curve fitting218.79853.95330.99710.9965
      Polynomial curve fitting1187.99.21120.98350.9812
      Proposed method141.4583.29700.99800.9976
    • Table 2. Comparison of average processing time of extracting results by four methods

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      Table 2. Comparison of average processing time of extracting results by four methods

      AlgorithmAverage processing time /s
      Image 1Image 2Image 3Image 4Image 5
      Gray threshold algorithm[8]0.82010.95540.98410.93440.8406
      Steger algorithm[12]6.84487.78128.26628.65237.0884
      Gray-gravity algorithm[22]0.32500.43900.40060.43050.2977
      Proposed algorithm0.64150.79810.78070.83470.6306
    • Table 3. RMSE comparison between the extraction results of the four methods and the standard value

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      Table 3. RMSE comparison between the extraction results of the four methods and the standard value

      AlgorithmRMSE /pixel
      Image 6Image 7Image 8Image 9Image 10
      Gray threshold algorithm[8]0.98401.67732.51751.51261.4967
      Steger algorithm[12]0.05210.06420.04890.05620.0601
      Gray-gravity algorithm[22]0.39300.55810.25890.43740.4895
      Proposed algorithm0.04240.04410.01950.04630.0449
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    Ruifeng Zhang, Chang Liu. Interference Fringe Center Point Extraction Method Based on Interval Curve Fitting[J]. Laser & Optoelectronics Progress, 2021, 58(8): 0812002

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Aug. 24, 2020

    Accepted: Sep. 30, 2020

    Published Online: Apr. 16, 2021

    The Author Email: Chang Liu (17862979390@163.com)

    DOI:10.3788/LOP202158.0812002

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