• Laser & Optoelectronics Progress
  • Vol. 56, Issue 1, 011202 (2019)
Fei Liu*, Jiaxin Li, Junlin Lai, and Chunqiao He
Author Affiliations
  • State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing 400044, China
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    DOI: 10.3788/LOP56.011202 Cite this Article Set citation alerts
    Fei Liu, Jiaxin Li, Junlin Lai, Chunqiao He. Full-Frequency Phase Unwrapping Algorithm Based on Multi-Frequency Heterodyne Principle[J]. Laser & Optoelectronics Progress, 2019, 56(1): 011202 Copy Citation Text show less
    Three-frequency optical heterodyne principle
    Fig. 1. Three-frequency optical heterodyne principle
    Jumping error. (a) Jumping error of Δn12; (b) error of Δn123; (c) flooring error of N1; (d) error of ?1
    Fig. 2. Jumping error. (a) Jumping error of Δn12; (b) error of Δn123; (c) flooring error of N1; (d) error of ?1
    Results of phase unwrapping with different errors. (a) φerror=π/13; (b)(c) φerror=π/15; (d) φerror=π/25
    Fig. 3. Results of phase unwrapping with different errors. (a) φerror=π/13; (b)(c) φerror=π/15; (d) φerror=π/25
    Error distribution comparison. (a) Unwrapped by proposed algorithm; (b) unwrapped by existing method
    Fig. 4. Error distribution comparison. (a) Unwrapped by proposed algorithm; (b) unwrapped by existing method
    Experiment platform
    Fig. 5. Experiment platform
    (a) Captured by camera; (b) wrapped phase
    Fig. 6. (a) Captured by camera; (b) wrapped phase
    Reconstruction results. (a)(b) Unwrapped by existing algorithm; (c)(d) unwrapped by proposed algorithm
    Fig. 7. Reconstruction results. (a)(b) Unwrapped by existing algorithm; (c)(d) unwrapped by proposed algorithm
    Plane fitting results. (a) Unwrapped by existing algorithm; (b) unwrapped by proposed algorithm
    Fig. 8. Plane fitting results. (a) Unwrapped by existing algorithm; (b) unwrapped by proposed algorithm
    Unwrapped algorithmMaximum deviation /radMean deviation /radStandard deviation /rad
    Existing method±0.130900.0755
    Proposed algorithm±0.130600.0441
    Table 1. Standard deviation of the unwrapped phase error
    Unwrapped algorithmMaximum deviation /mmMean deviation /mmStandard deviation /mm
    Existing method±0.075±0.0200.025
    Proposed algorithm±0.041±0.0110.014
    Table 2. 3D deviation of plane fitting
    Fei Liu, Jiaxin Li, Junlin Lai, Chunqiao He. Full-Frequency Phase Unwrapping Algorithm Based on Multi-Frequency Heterodyne Principle[J]. Laser & Optoelectronics Progress, 2019, 56(1): 011202
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