Acta Optica Sinica, Volume. 38, Issue 2, 0212004(2018)

Fringe Projection Phase-to-Height Mapping Model and Its Calibration Method

Peng Lu, Changku Sun, and Peng Wang*
Author Affiliations
  • State Key Laboratory of Precision Measuring Technology and Instruments, Tianjin University, Tianjin 300072, China
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    Figures & Tables(10)
    Spatial relation between PCS and absolute phase map
    Coordinate transformation relation. (a) Fringe projection 3D measurement system; (b) detailed coordinate transformation process
    Experimental setup
    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
    Calibration target
    Distance error distribution. (a) Line AD; (b) line BC
    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
    • Table 1. Fitting results evaluationmm

      View table

      Table 1. Fitting results evaluationmm

      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-
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    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

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    Paper Information

    Category: Instrumentation, Measurement and Metrology

    Received: Aug. 28, 2017

    Accepted: --

    Published Online: Aug. 30, 2018

    The Author Email: Wang Peng (wang_peng@tju.edu.cn)

    DOI:10.3788/AOS201838.0212004

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