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    Journals >Acta Optica Sinica >Volume 40 >Issue 3 >Page 0320001 > Article
    • Acta Optica Sinica
    • Vol. 40, Issue 3, 0320001 (2020)
    Discussion on Resolution and Measuring Range of Typical Optical Flow Algorithm in Fringe Displacement Measurement
    Zhifang Lei*, Ping Sun**, and Qing Dai
    Author Affiliations
  • School of Physics and Electronics, Shandong Normal University, Jinan, Shandong 250014, China
    • show less
    DOI: 10.3788/AOS202040.0320001 Cite this Article Set citation alerts
    Zhifang Lei, Ping Sun, Qing Dai. Discussion on Resolution and Measuring Range of Typical Optical Flow Algorithm in Fringe Displacement Measurement[J]. Acta Optica Sinica, 2020, 40(3): 0320001 Copy Citation Text show less
    Relative error distribution of H-S algorithm. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 9π/50] (relative error is <2%)
    Fig. 1. Relative error distribution of H-S algorithm. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 9π/50] (relative error is <2%)
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    RMSE distributions of H-S algorithm. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 9π/50] (relative error is <2%)
    Fig. 2. RMSE distributions of H-S algorithm. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 9π/50] (relative error is <2%)
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    Error distributions of H-S algorithm with iteration rage from 200 to 1500. (a) Relative error; (b) RMSE
    Fig. 3. Error distributions of H-S algorithm with iteration rage from 200 to 1500. (a) Relative error; (b) RMSE
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    Error distributions of H-S algorithm with iteration range from 300 to 1500. (a) Relative error; (b) RMSE
    Fig. 4. Error distributions of H-S algorithm with iteration range from 300 to 1500. (a) Relative error; (b) RMSE
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    Relative error distributions of L-K algorithm with different pyramid layers. (a) Number of pyramid layers is 1; (b) number of pyramid layers is 2
    Fig. 5. Relative error distributions of L-K algorithm with different pyramid layers. (a) Number of pyramid layers is 1; (b) number of pyramid layers is 2
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    RMSE distributions of L-K algorithm with different numbers of pyramid layers. (a) Number of pyramid layers is 1; (b) number of pyramid layers is 2
    Fig. 6. RMSE distributions of L-K algorithm with different numbers of pyramid layers. (a) Number of pyramid layers is 1; (b) number of pyramid layers is 2
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    Error distributions of L-K algorithm when number of pyramid layers is 1, relative error is less than 2%, and phase shift range is [0, 53π/100]. (a) Relative error; (b) RMSE
    Fig. 7. Error distributions of L-K algorithm when number of pyramid layers is 1, relative error is less than 2%, and phase shift range is [0, 53π/100]. (a) Relative error; (b) RMSE
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    Comparison of errors between H-S algorithm and L-K algorithm with different numbers of pyramid layers. (a) Relative error; (b) RMSE
    Fig. 8. Comparison of errors between H-S algorithm and L-K algorithm with different numbers of pyramid layers. (a) Relative error; (b) RMSE
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    Comparison of displacement value calculated by H-S algorithm and true value under different phase shifts. (a) 10-12π; (b) 10-13π; (c) 10-14π; (d) 10-15π; (e) 10-16π
    Fig. 9. Comparison of displacement value calculated by H-S algorithm and true value under different phase shifts. (a) 10-12π; (b) 10-13π; (c) 10-14π; (d) 10-15π; (e) 10-16π
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    Comparison of displacement value calculated by L-K algorithm and true value under different phase shifts. (a) 10-12π; (b) 10-13π; (c)10-14π; (d) 10-15π; (e) 10-16π
    Fig. 10. Comparison of displacement value calculated by L-K algorithm and true value under different phase shifts. (a) 10-12π; (b) 10-13π; (c)10-14π; (d) 10-15π; (e) 10-16π
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    Comparison of resolution relative errors of H-S algorithm, L-K algorithm, and four step phase shift
    Fig. 11. Comparison of resolution relative errors of H-S algorithm, L-K algorithm, and four step phase shift
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    Relative error distributions obtained by H-S algorithm with noise. (a) Range of phase shift is (0,π]; (b) range of phase shift is (0, 9π/50](relative error is <2%)
    Fig. 12. Relative error distributions obtained by H-S algorithm with noise. (a) Range of phase shift is (0,π]; (b) range of phase shift is (0, 9π/50](relative error is <2%)
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    Displacement RMSE distributions obtained by H-S algorithm with noise. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 9π/50] (relative error is <2%)
    Fig. 13. Displacement RMSE distributions obtained by H-S algorithm with noise. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 9π/50] (relative error is <2%)
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    Displacement relative error distributions obtained by L-K algorithm with noise. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 53π/100] (relative error is <2%)
    Fig. 14. Displacement relative error distributions obtained by L-K algorithm with noise. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 53π/100] (relative error is <2%)
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    Displacement RMSE distributions obtained by L-K algorithm with noise. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 53π/100] (relative error is <2%)
    Fig. 15. Displacement RMSE distributions obtained by L-K algorithm with noise. (a) Range of phase shift is (0, π]; (b) range of phase shift is (0, 53π/100] (relative error is <2%)
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    Resolution error distributions of H-S algorithm with noise. (a) Relative error; (b) RMSE
    Fig. 16. Resolution error distributions of H-S algorithm with noise. (a) Relative error; (b) RMSE
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    Resolution error distributions of L-K algorithm with noise. (a) Relative error; (b) RMSE
    Fig. 17. Resolution error distributions of L-K algorithm with noise. (a) Relative error; (b) RMSE
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    Resolution relative error distributions of different algorithms. (a) H-S algorithm; (b) L-K algorithm (range of phase shift is [10-3π, 10-1π])
    Fig. 18. Resolution relative error distributions of different algorithms. (a) H-S algorithm; (b) L-K algorithm (range of phase shift is [10-3π, 10-1π])
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    Zhifang Lei, Ping Sun, Qing Dai. Discussion on Resolution and Measuring Range of Typical Optical Flow Algorithm in Fringe Displacement Measurement[J]. Acta Optica Sinica, 2020, 40(3): 0320001
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