• Laser & Optoelectronics Progress
  • Vol. 59, Issue 1, 0126003 (2022)
Hao Zhu1, Li Xu1, Mingyao He1, Yanhua Fu1, Ruixian Li2, and Qinglan Wang1、*
Author Affiliations
  • 1School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan , Hubei 442002, China
  • 2School of Information System Engineering, Information Engineering University, Zhengzhou , Henan 450001, China
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    DOI: 10.3788/LOP202259.0126003 Cite this Article Set citation alerts
    Hao Zhu, Li Xu, Mingyao He, Yanhua Fu, Ruixian Li, Qinglan Wang. Measurement of Steel Ball Diameter and Roundness Error Based on Fresnel Diffraction[J]. Laser & Optoelectronics Progress, 2022, 59(1): 0126003 Copy Citation Text show less
    Projected image of spherical Fresnel diffraction
    Fig. 1. Projected image of spherical Fresnel diffraction
    Schematic diagram of spherical diffraction fringe spacing
    Fig. 2. Schematic diagram of spherical diffraction fringe spacing
    Schematic photogaraph of experimental facility
    Fig. 3. Schematic photogaraph of experimental facility
    Diffraction diagram of dot. (a) Diffraction of calibration board dot; (b) Butterworth filter image
    Fig. 4. Diffraction diagram of dot. (a) Diffraction of calibration board dot; (b) Butterworth filter image
    Central point location of diffraction image. (a) 3D view of the accumulation array; (b) center position marked
    Fig. 5. Central point location of diffraction image. (a) 3D view of the accumulation array; (b) center position marked
    Edge location of 4 mm diameter dot diffraction
    Fig. 6. Edge location of 4 mm diameter dot diffraction
    Calibration curve of offset
    Fig. 7. Calibration curve of offset
    Diffraction image of steel ball
    Fig. 8. Diffraction image of steel ball
    Diameter measurements of steel balls with different diameters in different light intensity direction .(a) d=2 mm; (b) d=2.5 mm; (c) d=3 mm; (d) d=3.5 mm; (e) d=4 mm
    Fig. 9. Diameter measurements of steel balls with different diameters in different light intensity direction .(a) d=2 mm; (b) d=2.5 mm; (c) d=3 mm; (d) d=3.5 mm; (e) d=4 mm
    Least square circle method
    Fig. 10. Least square circle method
    Least squares circles and envelope silhouette of 4 mm diameter steel ball
    Fig. 11. Least squares circles and envelope silhouette of 4 mm diameter steel ball
    Envelope silhouette of different diameters steel balls
    Fig. 12. Envelope silhouette of different diameters steel balls
    Theoretical value of steel ball diameter22.533.54
    Mean value of the measurement1.9982.4993.0013.4973.995
    Standard deviation0.00840.00800.00730.01000.0098
    Table 1. Mean values and standard deviation of the steel balls with different diameters
    Theoretical value of steel ball diameter22.533.54
    Experimental data0.01320.01360.01170.01570.0139
    ReData 10.0085
    Data 20.0086
    Table 2. Results of roundness measurement
    Theoretical value of steel ball diameter22.533.54
    Uncertainty of diameteruB0.00150.00150.00150.00150.0015
    U0.00300.00300.00300.00310.0030
    Uncertainty of roundness erroruRe0.00140.00150.00180.00230.0019
    U0.00280.00300.00360.00460.0038
    Table 3. Uncertainty of measurement
    Hao Zhu, Li Xu, Mingyao He, Yanhua Fu, Ruixian Li, Qinglan Wang. Measurement of Steel Ball Diameter and Roundness Error Based on Fresnel Diffraction[J]. Laser & Optoelectronics Progress, 2022, 59(1): 0126003
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