Optics and Precision Engineering, Volume. 31, Issue 11, 1672(2023)

Measurement uncertainty evaluation and analysis for industrial computed tomography based on forest balls

Zenan YANG1,*... Ziying HUANG2, Haiyong ZHA2, Liyuan ZHOU1 and Kuidong HUANG3 |Show fewer author(s)
Author Affiliations
  • 1Science and Technology on Advanced High Temperature Structural Materials Laboratory, AECC Beijing Institute of Aeronautical Materials, Beijing00095, China
  • 2AECC Sichuan Gas Turbine Research Establishment, Chengdu610500, China
  • 3The Key Laboratory of High Performance Manufacturing for Aero Engine (Northwestern Polytechnical University), Ministry of Industry and Information Technology, Xi'an710072, China
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    Figures & Tables(20)
    Industrial CT imaging and measurement processes
    Influencing factors of industrial CT size measurement
    Schematic diagram of spatial distribution of forest balls
    Projection and slice images of forest balls
    Error distribution of dimension measurement system
    Linear distribution of uncertainty in measurement of center distance of ceramic ball
    Linear distribution of uncertainty in measurement of ceramic ball center distance
    Linear distribution of uncertainty in measurement of steel ball center distance
    • Table 1. Nominal values of forest balls

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      Table 1. Nominal values of forest balls

      标准器球直径球心距
      球号标称值球号标称值球号标称值
      陶瓷球2#4.974 6(1#,2#)16.361 7(1#,6#)53.651 4
      4#4.997 6(1#,4#)32.049 1(4#,6#)59.938 4
      6#5.000 3(3#,5#)39.457 7(6#,7#)88.496 7
      红宝石球2#5.009 8(1#,2#)16.856 8(1#,6#)53.807 6
      4#5.028 4(1#,4#)32.433 6(4#,6#)60.296 7
      6#5.011 3(3#,5#)39.222 2(6#,7#)88.806 7
      钢球2#4.993 6(1#,2#)16.394 2(1#,6#)52.918 2
      4#4.997 5(1#,4#)32.453 5(4#,6#)59.993 1
      6#5.000 2(3#,5#)39.457 7(6#,7#)88.570 5
    • Table 2. Parameters of CT scanning and reconstruction

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      Table 2. Parameters of CT scanning and reconstruction

      参 数数 值
      管电压/kV、管电流/mA120/1.5,180/0.8,280/0.45
      焦点尺寸/mm0.4
      放大倍数1.44
      投影幅数720
      探元尺寸/mm0.2
      投影矩阵1 024×1 024
      重建矩阵1 024×1 024×300
      体素尺寸/mm30.138 9
      重建方法FDK
    • Table 3. Value and uncertainty of ball diameter

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      Table 3. Value and uncertainty of ball diameter

      标准器类型标称值测量值1测量值2测量值3y¯up
      陶瓷球4.974 64.987 54.987 04.987 24.987 20.000 3
      4.997 64.986 14.985 64.986 64.986 10.000 5
      5.000 34.991 64.990 94.992 04.991 50.000 6
      红宝石球5.009 84.995 74.994 84.995 54.995 30.000 5
      5.028 45.010 45.009 65.009 75.009 90.000 4
      5.011 35.001 85.001 35.002 05.001 70.000 4
      钢珠球4.993 65.026 65.025 85.026 85.026 40.000 5
      4.997 55.031 45.030 65.030 55.030 90.000 5
      5.000 25.030 85.031 05.030 75.030 80.000 2
    • Table 4. Value and uncertainty of ball center distance

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      Table 4. Value and uncertainty of ball center distance

      标准器类型标称值测量值1测量值2测量值3y¯up
      陶瓷球16.361 716.352 516.352 716.352 116.352 50.000 3
      32.049 132.039 632.039 532.039 732.039 60.000 1
      38.836 738.827 238.827 138.827 338.827 20.000 1
      红宝石球53.651 453.641 853.642 053.642 253.642 00.000 2
      59.938 459.928 959.929 259.929 759.929 30.000 4
      88.496 788.486 988.487 488.488 688.487 60.000 9
      钢珠球16.856 816.847 216.846 016.847 216.846 80.000 7
      32.433 632.424 732.423 032.424 132.423 90.000 9
      39.222 239.212 539.212 439.212 639.212 50.000 1
    • Table 5. Uncertainty introduced by measuring temperature

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      Table 5. Uncertainty introduced by measuring temperature

      参数直径
      陶瓷球红宝石球钢球
      ua3.0×10-6/℃6.65×10-6/℃12×10-6/℃
      标称尺寸4.974 64.997 65.000 35.009 85.028 45.011 34.993 64.997 55.000 2
      uw0.000 00.000 00.000 00.000 00.000 00.000 00.000 10.000 10.000 1
      参数球心距
      铝合金(陶瓷球)铝合金(红宝石球)
      ua23.21×10-6/℃23.21×10-6/℃
      标称尺寸16.361 732.049 138.836 753.651 459.938 488.496 716.856 832.433 639.222 2
      uw0.000 40.000 80.000 90.001 20.001 40.002 10.000 40.000 80.000 9
      参数球心距
      铝合金(红宝石球)铝合金(钢球)
      ua23.21×10-6/℃23.21×10-6/℃
      标称尺寸53.807 660.296 788.806 716.394 232.453 539.457 752.918 259.993 188.570 5
      uw0.001 20.001 40.002 10.000 40.000 80.000 90.001 30.001 40.002 1
    • Table 6. Diameter uncertainty of ceramic ball

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      Table 6. Diameter uncertainty of ceramic ball

      球号ucalupuwubUy¯校正结果
      2#0.000 50.000 30.000 00.000 00.001 24.987 2Y=4.987 2-b±0.001 2
      4#0.000 50.000 50.000 00.000 00.001 44.986 1Y=4.986 1-b±0.001 4
      6#0.000 50.000 60.000 00.000 00.001 54.991 5Y=4.991 5-b±0.001 5
    • Table 7. Diameter uncertainty of ruby ball

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      Table 7. Diameter uncertainty of ruby ball

      球号ucalupuwubUy¯校正结果
      2#0.000 50.000 50.000 00.000 00.001 44.995 3Y=4.995 3-b±0.001 4
      4#0.000 50.000 40.000 00.000 00.001 35.009 9Y=5.009 9-b±0.001 3
      6#0.000 50.000 40.000 00.000 00.001 35.001 7Y=5.001 7-b±0.001 3
    • Table 8. Diameter uncertainty of steel ball

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      Table 8. Diameter uncertainty of steel ball

      球号ucalupuwubUy¯校正结果
      2#0.000 50.000 50.000 10.000 10.001 55.026 4Y=5.026 4-b±0.001 5
      4#0.000 50.000 50.000 10.000 10.001 45.030 9Y=5.030 9-b±0.001 4
      6#0.000 50.000 20.000 10.000 10.001 15.030 8Y=5.030 8-b±0.001 1
    • Table 9. Uncertainty of ball center distance of ceramic ball

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      Table 9. Uncertainty of ball center distance of ceramic ball

      球号ucalupuwubUy¯校正结果
      (1#,2#)0.000 50.000 30.000 40.000 40.001 616.352 5Y=16.352 5-b±0.001 6
      (1#,4#)0.000 50.000 10.000 80.000 80.002 532.039 6Y=32.039 6-b±0.002 5
      (3#,5#)0.000 50.000 10.000 90.000 90.002 738.827 2Y=38.827 2-b±0.002 7
      (1#,6#)0.000 50.000 20.001 20.001 20.003 653.642 0Y=53.642 0-b±0.003 6
      (4#,6#)0.000 50.000 40.001 40.001 40.004 259.929 3Y=59.929 3-b±0.004 2
      (6#,7#)0.000 50.000 90.002 10.002 10.006 388.487 6Y=88.487 6-b±0.006 3
    • Table 10. Uncertainty of ball center distance of ruby ball

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      Table 10. Uncertainty of ball center distance of ruby ball

      球号ucalupuwubUy¯校正结果
      (1#,2#)0.000 50.000 70.000 40.000 40.002 116.846 8Y=16.846 8-b±0.002 1
      (1#,4#)0.000 50.000 90.000 80.000 80.003 132.423 9Y=32.423 9-b±0.003 1
      (3#,5#)0.000 50.000 10.000 90.000 90.002 739.212 5Y=39.212 5-b±0.002 7
      (1#,6#)0.000 50.000 60.001 20.001 20.003 753.798 2Y=53.798 2-b±0.003 7
      (4#,6#)0.000 50.000 50.001 40.001 40.004 260.287 8Y=60.287 8-b±0.004 2
      (6#,7#)0.000 50.000 40.002 10.002 10.006 188.797 7Y=88.797 7-b±0.006 1
    • Table 11. Uncertainty of ball center distance of steel ball

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      Table 11. Uncertainty of ball center distance of steel ball

      球号ucalupuwubUy¯校正结果
      (1#,2#)0.000 50.006 60.000 40.000 40.013 316.384 9Y=16.384 9-b±0.013 3
      (1#,4#)0.000 50.005 90.000 80.000 80.012 132.444 3Y=32.444 3-b±0.012 1
      (3#,5#)0.000 50.005 10.000 90.000 90.010 639.448 3Y=39.448 3-b±0.010 6
      (1#,6#)0.000 50.005 00.001 30.001 30.010 752.908 7Y=52.908 7-b±0.010 7
      (4#,6#)0.000 50.004 60.001 40.001 40.010 159.983 9Y=59.983 9-b±0.010 1
      (6#,7#)0.000 50.007 60.002 10.002 10.016 388.561 3Y=88.561 3-b±0.016 3
    • Table 12. Length measurement calibration results

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      Table 12. Length measurement calibration results

      球类型标称值平均值示值误差

      U

      k=2)

      陶瓷球16.361 716.352 5-0.009 20.001 6
      32.049 132.039 6-0.009 50.002 5
      38.836 738.827 2-0.009 50.002 7
      53.651 453.642 0-0.009 40.003 6
      59.938 459.929 3-0.009 10.004 2
      88.496 788.487 6-0.009 10.006 3
      红宝石球16.856 816.846 8-0.010 00.002 1
      32.433 632.423 9-0.009 70.003 1
      39.222 239.212 5-0.009 70.002 7
      53.807 653.798 2-0.009 40.003 7
      60.296 760.287 8-0.008 90.004 2
      88.806 788.797 7-0.009 00.006 1
      钢珠球16.394 216.384 9-0.009 30.013 3
      32.453 532.444 3-0.009 20.012 1
      39.457 739.448 3-0.009 40.010 6
      52.918 252.908 7-0.009 50.010 7
      59.993 159.983 9-0.009 20.010 1
      88.570 588.561 3-0.009 20.016 3
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    Zenan YANG, Ziying HUANG, Haiyong ZHA, Liyuan ZHOU, Kuidong HUANG. Measurement uncertainty evaluation and analysis for industrial computed tomography based on forest balls[J]. Optics and Precision Engineering, 2023, 31(11): 1672

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    Paper Information

    Category: Information Sciences

    Received: Nov. 9, 2022

    Accepted: --

    Published Online: Jul. 4, 2023

    The Author Email: YANG Zenan (yanzn719@126.com)

    DOI:10.37188/OPE.20233111.1672

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