Author Affiliations
1School of Mathematics, Physics and Optoelectronic Engineering, Hubei University of Automotive Technology, Shiyan , Hubei 442002, China2School of Information System Engineering, Information Engineering University, Zhengzhou , Henan 450001, Chinashow less
Fig. 1. Projected image of spherical Fresnel diffraction
Fig. 2. Schematic diagram of spherical diffraction fringe spacing
Fig. 3. Schematic photogaraph of experimental facility
Fig. 4. Diffraction diagram of dot. (a) Diffraction of calibration board dot; (b) Butterworth filter image
Fig. 5. Central point location of diffraction image. (a) 3D view of the accumulation array; (b) center position marked
Fig. 6. Edge location of 4 mm diameter dot diffraction
Fig. 7. Calibration curve of offset
Fig. 8. Diffraction image of steel ball
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
Fig. 10. Least square circle method
Fig. 11. Least squares circles and envelope silhouette of 4 mm diameter steel ball
Fig. 12. Envelope silhouette of different diameters steel balls
Theoretical value of steel ball diameter | 2 | 2.5 | 3 | 3.5 | 4 |
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Mean value of the measurement | 1.998 | 2.499 | 3.001 | 3.497 | 3.995 | Standard deviation | 0.0084 | 0.0080 | 0.0073 | 0.0100 | 0.0098 |
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Table 1. Mean values and standard deviation of the steel balls with different diameters
Theoretical value of steel ball diameter | 2 | 2.5 | 3 | 3.5 | 4 |
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| Experimental data | 0.0132 | 0.0136 | 0.0117 | 0.0157 | 0.0139 | | Data 1 | 0.0085 | — | — | — | — | | Data 2 | 0.0086 | — | — | — | — |
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Table 2. Results of roundness measurement
Theoretical value of steel ball diameter | 2 | 2.5 | 3 | 3.5 | 4 |
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Uncertainty of diameter | | 0.0015 | 0.0015 | 0.0015 | 0.0015 | 0.0015 | | 0.0030 | 0.0030 | 0.0030 | 0.0031 | 0.0030 | Uncertainty of roundness error | | 0.0014 | 0.0015 | 0.0018 | 0.0023 | 0.0019 | | 0.0028 | 0.0030 | 0.0036 | 0.0046 | 0.0038 |
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Table 3. Uncertainty of measurement