Author Affiliations
1School of Electrical and Electronic Engineering, Tianjin University of Technology, Tianjin 300384, China2Tianjin Key Laboratory for Control Theory & Applications in Complicated Systems, Tianjin 300384, China;show less
Fig. 1. Speckle measuring system based on DIC method
Fig. 2. Schematic of measuring principle of DIC method
Fig. 3. Process of converting original image to GLCM
Fig. 4. Results of 4 speckle patterns after translation. (a) Error; (b) standard deviation
Fig. 5. Mean gray second derivative of 4 speckle patterns
Fig. 6. Results of speckle pattern processing. (a) Speckle patterns; (b) gray histogram
Fig. 7. Full-field displacement changes in u direction of 4 speckle patterns under different displacement quantities. (a) 0.05 pixel; (b) 0.95 pixel; (c) 1.00 pixel
Fig. 8. Effect of 4 speckle patterns with uneven illumination. (a) Image A; (b) image B; (c) image C; (d) image D
Fig. 9. Error and standard deviation of 4 speckle images with non-uniform illumination. (a) Error; (b) standard deviation
Fig. 10. Results of speckle image C under different average gray values. (a) 208.1751; (b) 140.8798; (c) 97.3179;(d) 62.6947; (e) 50.8449; (f) 23.8115; (g) 2.5869
Fig. 11. Results of 4 speckle patterns at different brightness states. (a) Error; (b) standard deviation
Image | E | Eentropy | C | R |
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Mean value | Variance | Mean value | Variance | Mean value | Variance | Mean value | Variance |
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A | 0.3399 | 0.0075 | 1.5301 | 0.0226 | 0.0357 | 0.0040 | 1.3582 | 0.1358 | B | 0.2499 | 0.0040 | 1.8593 | 0.0185 | 0.0346 | 0.0017 | 0.9337 | 0.0387 | C | 0.0306 | 0.0041 | 3.6607 | 0.1243 | 0.0319 | 0.0067 | 0.1729 | 0.0137 | D | 0.0247 | 0.0039 | 3.9453 | 0.1560 | 0.0226 | 0.0044 | 0.1404 | 0.0076 |
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Table 1. GLCM eigenvalues of 4 speckle patterns
Image | E | Eentropy | C | R |
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Mean value | Variance | Mean value | Variance | Mean value | Variance | Mean value | Variance |
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A | 0.2080 | 0.0023 | 2.0997 | 0.0217 | 0.0013 | 0.0002 | 0.2954 | 0.0005 | B | 0.1653 | 0.0018 | 2.5512 | 0.0201 | 0.0084 | 0.0003 | 0.2674 | 0.0011 | C | 0.0203 | 0.0029 | 4.1386 | 0.1378 | 0.0181 | 0.0031 | 0.1037 | 0.0035 | D | 0.0192 | 0.0031 | 4.1882 | 0.1595 | 0.0164 | 0.0029 | 0.0880 | 0.0025 |
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Table 2. GLCM eigenvalues of 4 speckle patterns with non-uniform illumination
Image | A | B | C | D |
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Shannon entropy | 5.6935 | 5.7070 | 7.5686 | 7.6756 |
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Table 3. Shannon entropy of 4 speckle patterns with non-uniform llumination
Image | E | Eentropy | C | R |
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Fig. 10(a) | 0.2913 | 1.5885 | 0.0181 | 1.7191 | Fig. 10(b) | 0.0451 | 3.3198 | 0.0312 | 0.2532 | Fig. 10(c) | 0.0306 | 3.6607 | 0.0319 | 0.1729 | Fig. 10(d) | 0.0301 | 3.8043 | 0.0228 | 0.1433 | Fig. 10(e) | 0.0780 | 3.1816 | 0.0218 | 0.2020 | Fig. 10(f) | 0.2126 | 2.4152 | 0.0170 | 0.3180 | Fig. 10(g) | 0.8864 | 0.3766 | 0.0005 | 2.8526 |
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Table 4. GLCM eigenvalues of speckle pattern under different luminance states