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Calibration of a Fringe Projection 3D Measurement System Using an Equi-Phase Coordinate Method Based on Two-Reference-Plane

Published in Optics (Volume 4, Issue 3-1)
Received: 23 March 2015     Accepted: 25 March 2015     Published: 28 July 2015
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Abstract

Calibration is to transform the 2D phase information to the world coordinates in a fringe projection 3D measurement system. For the phase-to-height conversion, an equi-phase coordinate method based on two-reference-plane is proposed in this paper. The surface height is calculated by a linear interpolation using the coordinates where have the identical phase value of the object and the two reference planes. The conventional method, called equi-coordinate phase method in this paper, builds the function of the absolute phase and height by using the absolute phase obtained by subtracting the phase of object from that of the reference plane in the same coordinate. The proposed method can handle phase-to-height conversion and non-sinusoidal error caused by nonlinear response of the fringe projection system in one go. Theoretical and experimental analysis is given to prove the validity of the proposed method. Result indicates that the RMS error produced by equi-phase coordinate method is less half of equi-coordinate phase method when the primary error source is from the non-sinusoidal fringe patterns

Published in Optics (Volume 4, Issue 3-1)

This article belongs to the Special Issue Optical Techniques for Deformation, Structure and Shape Evaluation

DOI 10.11648/j.optics.s.2015040301.15
Page(s) 18-23
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Three-Dimensional Shape Measurement, Calibration, Equi-Phase Coordinates, Non-Sinusoidal Error

References
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[7] G. Sansoni, M. Carocci, and R. Rodella, “Calibration and performance evaluation of a 3-d imaging sensor based on the projection of structured light,” IEEE Transactions on Instrumentation and Measurement, 49(3): 628–636, 2000.
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[12] X. Zhang, Y. Lin, M. Zhao, X. Niu, and Y. Huang, “Calibration of a fringe projection profilometry system using virtual phase calibrating model planes,” Journal of Optics A: Pure and Applied Optics, 7: 192–197, 2005.
[13] P. J. Tavares and M. A. Vaz, “Linear calibration procedure for the phase-to-height relationship in phase measurement profilometry,” Optics Communications, 274: 307–314, 2007.
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[15] R. Anchini, G. D. Leo, C. Liguori, and A. Paolillo, “A new calibration procedure for 3-d shape measurement system based on phase-shifting projected fringe profilometry,” IEEE Transactions on Instrumentation and Measurement, 58(5): 1291–1298, 2009.
[16] A. A. and C. S. Chan, “Phase shifting applied to non-sinusoidal intensity distribution–an error simulation,” Optics and Lasers in Engiering, 21: 3–30, 1994.
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  • APA Style

    Dai Meiling, Yang Fujun, He Xiaoyuan. (2015). Calibration of a Fringe Projection 3D Measurement System Using an Equi-Phase Coordinate Method Based on Two-Reference-Plane. Optics, 4(3-1), 18-23. https://doi.org/10.11648/j.optics.s.2015040301.15

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    ACS Style

    Dai Meiling; Yang Fujun; He Xiaoyuan. Calibration of a Fringe Projection 3D Measurement System Using an Equi-Phase Coordinate Method Based on Two-Reference-Plane. Optics. 2015, 4(3-1), 18-23. doi: 10.11648/j.optics.s.2015040301.15

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    AMA Style

    Dai Meiling, Yang Fujun, He Xiaoyuan. Calibration of a Fringe Projection 3D Measurement System Using an Equi-Phase Coordinate Method Based on Two-Reference-Plane. Optics. 2015;4(3-1):18-23. doi: 10.11648/j.optics.s.2015040301.15

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  • @article{10.11648/j.optics.s.2015040301.15,
      author = {Dai Meiling and Yang Fujun and He Xiaoyuan},
      title = {Calibration of a Fringe Projection 3D Measurement System Using an Equi-Phase Coordinate Method Based on Two-Reference-Plane},
      journal = {Optics},
      volume = {4},
      number = {3-1},
      pages = {18-23},
      doi = {10.11648/j.optics.s.2015040301.15},
      url = {https://doi.org/10.11648/j.optics.s.2015040301.15},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.optics.s.2015040301.15},
      abstract = {Calibration is to transform the 2D phase information to the world coordinates in a fringe projection 3D measurement system. For the phase-to-height conversion, an equi-phase coordinate method based on two-reference-plane is proposed in this paper. The surface height is calculated by a linear interpolation using the coordinates where have the identical phase value of the object and the two reference planes. The conventional method, called equi-coordinate phase method in this paper, builds the function of the absolute phase and height by using the absolute phase obtained by subtracting the phase of object from that of the reference plane in the same coordinate. The proposed method can handle phase-to-height conversion and non-sinusoidal error caused by nonlinear response of the fringe projection system in one go. Theoretical and experimental analysis is given to prove the validity of the proposed method. Result indicates that the RMS error produced by equi-phase coordinate method is less half of equi-coordinate phase method when the primary error source is from the non-sinusoidal fringe patterns},
     year = {2015}
    }
    

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  • TY  - JOUR
    T1  - Calibration of a Fringe Projection 3D Measurement System Using an Equi-Phase Coordinate Method Based on Two-Reference-Plane
    AU  - Dai Meiling
    AU  - Yang Fujun
    AU  - He Xiaoyuan
    Y1  - 2015/07/28
    PY  - 2015
    N1  - https://doi.org/10.11648/j.optics.s.2015040301.15
    DO  - 10.11648/j.optics.s.2015040301.15
    T2  - Optics
    JF  - Optics
    JO  - Optics
    SP  - 18
    EP  - 23
    PB  - Science Publishing Group
    SN  - 2328-7810
    UR  - https://doi.org/10.11648/j.optics.s.2015040301.15
    AB  - Calibration is to transform the 2D phase information to the world coordinates in a fringe projection 3D measurement system. For the phase-to-height conversion, an equi-phase coordinate method based on two-reference-plane is proposed in this paper. The surface height is calculated by a linear interpolation using the coordinates where have the identical phase value of the object and the two reference planes. The conventional method, called equi-coordinate phase method in this paper, builds the function of the absolute phase and height by using the absolute phase obtained by subtracting the phase of object from that of the reference plane in the same coordinate. The proposed method can handle phase-to-height conversion and non-sinusoidal error caused by nonlinear response of the fringe projection system in one go. Theoretical and experimental analysis is given to prove the validity of the proposed method. Result indicates that the RMS error produced by equi-phase coordinate method is less half of equi-coordinate phase method when the primary error source is from the non-sinusoidal fringe patterns
    VL  - 4
    IS  - 3-1
    ER  - 

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Author Information
  • Department of Engineering Mechanics, Southeast University, Nanjing, PR China

  • Department of Engineering Mechanics, Southeast University, Nanjing, PR China

  • Department of Engineering Mechanics, Southeast University, Nanjing, PR China

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