Laser & Optoelectronics Progress, Volume. 60, Issue 14, 1412001(2023)

Bone Stick Contour Dimension Measurement Based on Sub-Regional Adaptive Threshold Zernike Moments

Jiazhe Wang1, Huiqin Wang1、*, Rui Liu2, Ke Wang1, and Zhan Wang3
Author Affiliations
  • 1School of Information and Control Engineering, Xi'an University of Architecture and Technology, Xi'an 710055, Shaanxi, China
  • 2Institute of Archaeology, Chinese Academy of Social Sciences, Beijing 100101, China
  • 3Shaanxi Institute for the Preservation of Cultural Heritage, Xi'an 710075, Shaanxi, China
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    Figures & Tables(18)
    Flow chart of proposed algorithm
    Ideal edge step model. (a) Original image edge; (b) image edge after rotation
    Edge contour discrimination algorithm flow
    Block diagram of improved Zernike moment algorithm
    Schematic diagram of MBR algorithm seeking point set
    Bone stick minimum external moment results. (a) Contour circumscribed rectangle; (b) minimum circumscribed moment of contour; (c) minimum circumscribed moment of bone stick image
    Schematic diagram of the imaging model
    Detection results of different edge detection algorithms. (a) Original drawings of bone stick; (b) Sobel algorithm; (c) Canny algorithm; (d) interpolation algorithm; (e) Zernike algorithm; (f) STZ algorithm
    Local rendering of edge of bone stick. (a) Interpolation algorithm; (b) Zernike algorithm; (c) STZ algorithm
    Bone stick image coordinate point error. (a) X-direction error; (b) Y-direction error
    Bone stick size measurement. (a) Actual length and measured length; (b) actual width and measured width
    Absolute error of measurement size. (a) Length direction; (b) width direction
    Mean absolute error of bone stick length and width measurement
    Relative error of measurement size. (a) Length direction; (b) width direction
    Average relative error of bone stick length and width measurement
    Root mean square error of bone stick length and width measurement
    • Table 1. Computation time of different edge detection algorithms

      View table

      Table 1. Computation time of different edge detection algorithms

      AlgorithmTime
      Sobel4.2
      Canny3.5
      Interpolation62
      Zernike15.3
      STZ7.2
    • Table 2. Subpixel edge detection results of different algorithms

      View table

      Table 2. Subpixel edge detection results of different algorithms

      Key point coordinateInterpolation algorithmZernike algorithmSTZ algorithm
      (2416,2269)(2416.5,2270.2)(2416.8,2271.0)(2415.69,2269.3)
      (2573,3072)(2572.6,3071.5)(2573.5,3070.5)(2573.0,3072.0)
      (2616,947)(2616.9,948.5)(2616.75,949.75)(2616.5,947.6)
      (2638,950)(2638.5,951.25)(2637.5,953.25)(2637.9,950.0)
      (2777,3574)(2777.25,3573.0)(2777.25,3572.0)(2777.0,3573.8)
      (2815,907)(2814.7,908.75)(2814. 5,908.35)(2815.0,907.9)
      (3053,3528)(3052.3,3527.25)(3053.5,3528.25)(3053.0,3527.9)
      (3075,2246)(3074.45,2246.4)(3075.75,2246.5)(3074.7,2246.3)
      (3128,1998)(3128.2,1998.23)(3128.25,1998.25)(3128.0,1997.8)
      (3198,2400)(3197.63,2399.7)(3197.3,2399.75)(3198.16,2400.23)
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    Jiazhe Wang, Huiqin Wang, Rui Liu, Ke Wang, Zhan Wang. Bone Stick Contour Dimension Measurement Based on Sub-Regional Adaptive Threshold Zernike Moments[J]. Laser & Optoelectronics Progress, 2023, 60(14): 1412001

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Jul. 18, 2022

    Accepted: Sep. 5, 2022

    Published Online: Jul. 17, 2023

    The Author Email: Wang Huiqin (hqwang@xauat.edu.cn)

    DOI:10.3788/LOP222103

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