• Acta Optica Sinica
  • Vol. 42, Issue 9, 0912005 (2022)
Jie Li1、2, Bin Chen1、2、*, Xinyi Zeng1、2, and Shiqian Wu1、2
Author Affiliations
  • 1School of Information Science and Engineering, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China
  • 2Institute of Robotics and Intelligent Systems, Wuhan University of Science and Technology, Wuhan 430081, Hubei, China
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    DOI: 10.3788/AOS202242.0912005 Cite this Article Set citation alerts
    Jie Li, Bin Chen, Xinyi Zeng, Shiqian Wu. Phase Unwrapping Algorithm for Structured Light Based on Fringe-Order Encoding and Modulation[J]. Acta Optica Sinica, 2022, 42(9): 0912005 Copy Citation Text show less
    Flow diagram of temporal phase unwrapped algorithm. (a) Phase shifting image; (b) wrapped phase; (c) Gray-code image; (d) order of each period; (e) unwrapped phase
    Fig. 1. Flow diagram of temporal phase unwrapped algorithm. (a) Phase shifting image; (b) wrapped phase; (c) Gray-code image; (d) order of each period; (e) unwrapped phase
    Period-order coding sequence used in this paper
    Fig. 2. Period-order coding sequence used in this paper
    Coding phase diagram
    Fig. 3. Coding phase diagram
    Four-step phase shift fringe images corresponding to adjusted phase
    Fig. 4. Four-step phase shift fringe images corresponding to adjusted phase
    Phase error for different number of divided segments
    Fig. 5. Phase error for different number of divided segments
    Decoding and phase unwrapping process
    Fig. 6. Decoding and phase unwrapping process
    Schematic diagram of influence of occlusion on decoding
    Fig. 7. Schematic diagram of influence of occlusion on decoding
    Continuous symbol matching
    Fig. 8. Continuous symbol matching
    Reconstruction process of facial mask. (a) Image of phase-level encoding; (b) wrapped phase obtained by four-step phase-shifting method; (c) absolute phase obtained by decoding algorithm proposed in this paper; (d) side view of reconstructed facial mask
    Fig. 9. Reconstruction process of facial mask. (a) Image of phase-level encoding; (b) wrapped phase obtained by four-step phase-shifting method; (c) absolute phase obtained by decoding algorithm proposed in this paper; (d) side view of reconstructed facial mask
    Analysis of workpiece occlusion. (a)(e) Workpieces placed in two positions; (b)(f) wrapped phase; (c)(g) wrapped phase after removing phase outliers; (d)(h) unwrapping phase
    Fig. 10. Analysis of workpiece occlusion. (a)(e) Workpieces placed in two positions; (b)(f) wrapped phase; (c)(g) wrapped phase after removing phase outliers; (d)(h) unwrapping phase
    Experiment of 3D object reconstruction. (a)--(c) Objects to be reconstructed, which can be divided into ceramic pot and workpieces placed in two different ways; (d)--(f) reconstruction results
    Fig. 11. Experiment of 3D object reconstruction. (a)--(c) Objects to be reconstructed, which can be divided into ceramic pot and workpieces placed in two different ways; (d)--(f) reconstruction results
    Results of 3D plate reconstructed by three methods. (a) Proposed method; (b) multi-frequency heterodyne method; (c) gray-code plus phase-shifting method
    Fig. 12. Results of 3D plate reconstructed by three methods. (a) Proposed method; (b) multi-frequency heterodyne method; (c) gray-code plus phase-shifting method
    MethodProposed methodMulti-frequency heterodyne methodGray-code plus phase-shifting method
    Root-mean-square /mm0.46370.25260.2473
    Number of images41210
    Table 1. Comparison of results of three reconstruction methods
    Jie Li, Bin Chen, Xinyi Zeng, Shiqian Wu. Phase Unwrapping Algorithm for Structured Light Based on Fringe-Order Encoding and Modulation[J]. Acta Optica Sinica, 2022, 42(9): 0912005
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