• Acta Optica Sinica
  • Vol. 42, Issue 19, 1912004 (2022)
Qili Chen and Wenjing Chen*
Author Affiliations
  • College of Electronics and Information Engineering, Sichuan University, Chengdu 610065, Sichuan , China
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    DOI: 10.3788/AOS202242.1912004 Cite this Article Set citation alerts
    Qili Chen, Wenjing Chen. Coaxial Three-Dimensional Measurement Method of Divergent Circular Fringe Projection[J]. Acta Optica Sinica, 2022, 42(19): 1912004 Copy Citation Text show less
    Schematic diagram of coaxial measurement system
    Fig. 1. Schematic diagram of coaxial measurement system
    Schematic diagram of ray geometric model of projector at two projection positions
    Fig. 2. Schematic diagram of ray geometric model of projector at two projection positions
    Coaxial projection-imaging model
    Fig. 3. Coaxial projection-imaging model
    Fringe patterns captured by virtual camera under different Lp. (a) Lp=690 mm; (b) Lp=710 mm; (c) Lp=730 mm; (d) Lp=750 mm; (e) Lp=770 mm
    Fig. 4. Fringe patterns captured by virtual camera under different Lp. (a) Lp=690 mm; (b) Lp=710 mm; (c) Lp=730 mm; (d) Lp=750 mm; (e) Lp=770 mm
    Absolute phases corresponding to five projection positions. (a) Three-dimensional graph; (b) section of absolute phases passing through center of circle
    Fig. 5. Absolute phases corresponding to five projection positions. (a) Three-dimensional graph; (b) section of absolute phases passing through center of circle
    Planar reconstruction results. (a) Whole height information; (b) height section of row passing through center of circle; (c) height information of area away from center of circle; (d) height section of row away from center of circle
    Fig. 6. Planar reconstruction results. (a) Whole height information; (b) height section of row passing through center of circle; (c) height information of area away from center of circle; (d) height section of row away from center of circle
    Ladder round platform. (a) Three-dimensional view; (b) sectional view
    Fig. 7. Ladder round platform. (a) Three-dimensional view; (b) sectional view
    Simulation results of ladder round platform. (a) Reconstruction result; (b) height section at 360th line; (c) error distribution
    Fig. 8. Simulation results of ladder round platform. (a) Reconstruction result; (b) height section at 360th line; (c) error distribution
    Object to be measured
    Fig. 9. Object to be measured
    Simulation results of ellipsoid under different small angles. (a)-(c) 2°; (d)-(f) 4°; (g)-(i) 6°
    Fig. 10. Simulation results of ellipsoid under different small angles. (a)-(c) 2°; (d)-(f) 4°; (g)-(i) 6°
    Experimental setup
    Fig. 11. Experimental setup
    Reconstruction experiment of face model. (a) Measured object; (b) four phase shift fringe patterns; (c) reconstruction result; (d) section of reconstruction surface at 248th line
    Fig. 12. Reconstruction experiment of face model. (a) Measured object; (b) four phase shift fringe patterns; (c) reconstruction result; (d) section of reconstruction surface at 248th line
    Reconstruction experiment of steps. (a) Measured object; (b) one frame of fringe pattern; (c) reconstruction result of dashed line area
    Fig. 13. Reconstruction experiment of steps. (a) Measured object; (b) one frame of fringe pattern; (c) reconstruction result of dashed line area
    Movement timeStandard deviation /mm
    10.1348
    20.0723
    30.0486
    40.0361
    Table 1. Reconstruction accuracy of different movement times
    Positionup0,vp0
    1(646.64,367.55)
    2(647.32,368.45)
    3(647.18,367.74)
    Table 2. Main point calibration results of each position
    Qili Chen, Wenjing Chen. Coaxial Three-Dimensional Measurement Method of Divergent Circular Fringe Projection[J]. Acta Optica Sinica, 2022, 42(19): 1912004
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