• Acta Optica Sinica
  • Vol. 38, Issue 2, 0212004 (2018)
Peng Lu, Changku Sun, and Peng Wang*
Author Affiliations
  • State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China
  • show less
    DOI: 10.3788/AOS201838.0212004 Cite this Article Set citation alerts
    Peng Lu, Changku Sun, Peng Wang. Fringe Projection Phase-to-Height Mapping Model and Its Calibration Method[J]. Acta Optica Sinica, 2018, 38(2): 0212004 Copy Citation Text show less
    Spatial relation between PCS and absolute phase map
    Fig. 1. Spatial relation between PCS and absolute phase map
    Coordinate transformation relation. (a) Fringe projection 3D measurement system; (b) detailed coordinate transformation process
    Fig. 2. Coordinate transformation relation. (a) Fringe projection 3D measurement system; (b) detailed coordinate transformation process
    Experimental setup
    Fig. 3. Experimental setup
    Schematic diagram of calibration procedure
    Fig. 4. Schematic diagram of calibration procedure
    Calibration evaluation. 3D reconstruction result of the feature points while (a) n=3, (c) n=4; error distribution of the feature points while (b) n=3, (d) n=4
    Fig. 5. Calibration evaluation. 3D reconstruction result of the feature points while (a) n=3, (c) n=4; error distribution of the feature points while (b) n=3, (d) n=4
    Calibration target
    Fig. 6. Calibration target
    Distance error distribution. (a) Line AD; (b) line BC
    Fig. 7. Distance error distribution. (a) Line AD; (b) line BC
    Fitting planes. (a) Proposed method; (b) 4th-PMM; (c) CPHCM
    Fig. 8. Fitting planes. (a) Proposed method; (b) 4th-PMM; (c) CPHCM
    3D shape measurement results of a sculpture and a hand. (a),(b) Fringe patterns; (c),(d) absolute phase map; (e),(f) 3D reconstruction results obtained by proposed method; (g),(h) 3D reconstruction results obtained by 4th-PMM model; (i),(j) 3D reconstruction results obtained by CPHCM model
    Fig. 9. 3D shape measurement results of a sculpture and a hand. (a),(b) Fringe patterns; (c),(d) absolute phase map; (e),(f) 3D reconstruction results obtained by proposed method; (g),(h) 3D reconstruction results obtained by 4th-PMM model; (i),(j) 3D reconstruction results obtained by CPHCM model
    PositionProposed method4th-PMMCPHCM
    RMS errorDistance errorRMS errorDistance errorRMS errorDistance error
    10.0270.0320.032-0.0380.0420.034
    20.0260.0460.0350.0450.0450.048
    30.0280.0280.0370.0390.0410.030
    40.0270.0200.0360.0500.0410.047
    50.0260.0120.0370.0610.0370.041
    60.026-0.0010.0380.0110.0360.005
    70.026-0.0330.039-0.0530.0430.055
    80.025-0.035-0.035-
    Table 1. Fitting results evaluationmm
    Peng Lu, Changku Sun, Peng Wang. Fringe Projection Phase-to-Height Mapping Model and Its Calibration Method[J]. Acta Optica Sinica, 2018, 38(2): 0212004
    Download Citation