Author Affiliations
Institute of Robotics and Intelligent Systems, School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, Hubei , Chinashow less
Fig. 1. Correspondence among wrapped phase, unwrapped phase, and phase order
Fig. 2. Correspondence between Gray code and phase
Fig. 3. Wrapped phase and intensity of sinusoidal stripe after amplitude modulation. (a) Wrapped phase; (b) corresponding intensity of sinusoidal stripe
Fig. 4. Mean error of the unwrapped phase in different periods
Fig. 5. Correspondence between the number of phase periods and De Bruijn sequence
Fig. 6. Four computer generated projection patterns
Fig. 7. Flowchart of unwrapping phase
Fig. 8. Incomplete period case. (a) Occluding falling edge, only left rising edge; (b) occluding rising edge, only left falling edge
Fig. 9. Symbol judgment error caused by the maximum value being blocked
Fig. 10. A mask. (a) Object to be tested; (b) fringe image captured by camera; (c) wrapped phase; (d) unwrapped phase
Fig. 11. 3D point cloud results. (a) Frontal result; (b) profile result
Fig. 12. Two water pipes placed front and back. (a) Object to be tested; (b) wrapped phase
Fig. 13. Phase unwrapping. (a) Wrapped phase; (b) phase order; (c) unwrapped phase
Fig. 14. Comparison of the reconstruction results between Gray code combined with phase-shifting method and the proposed method
Fig. 15. Reconstruction results of flat plate. (a) Reconstruction result of Gray code combined with phase-shifting method; (b) reconstruction results of multi-frequency heterodyne; (c) reconstruction results of proposed method
Method | Number of patterns | Accuracy of wrapping phase |
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Four-step phase-shifting+spatial phase wrapping | 4 | × | Four-step phase-shifting+6-digit Gray code | 10 | √ | Multi-frequency heterodyne | 12 | √ |
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Table 1. Comparison of phase coding methods
Parameter | Gray code+ phase-shifting | Multi-frequency heterodyne | Proposed method |
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Standard deviation /mm | 0.232 | 0.198 | 0.319 | Number of patterns | 10 | 12 | 4 |
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Table 2. Accuracy comparisons between Grey code + phase-shifting method, multi-frequency heterodyne, and proposed method