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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 22 — Oct. 24, 2011
  • pp: 21739–21747

Fringe projection profilometry based on a novel phase shift method

Yanjun Fu and Qian Luo  »View Author Affiliations

Optics Express, Vol. 19, Issue 22, pp. 21739-21747 (2011)

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Fringe projection profilometry is generally used to measure the 3D shape of an object. In oblique-angle projection, the grating fringe cycle is broadened on the reference surface. A well-fitted, convenient, and quick cycle correction method is proposed in this study. Based on the proposed method, an accurate four-step phase shift method is developed. Comparative experiments show that the fringe projection profilometry based on the novel phase shift method can eliminate cycle error and significantly improve measurement accuracy. The relative error of the measurement is less than 1.5%. This method can be widely employed for measuring large objects.

© 2011 OSA

OCIS Codes
(050.5080) Diffraction and gratings : Phase shift
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(150.6910) Machine vision : Three-dimensional sensing

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: September 7, 2011
Revised Manuscript: October 5, 2011
Manuscript Accepted: October 14, 2011
Published: October 19, 2011

Yanjun Fu and Qian Luo, "Fringe projection profilometry based on a novel phase shift method," Opt. Express 19, 21739-21747 (2011)

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  1. H. Wang and Q. Kemao, “Frequency guided methods for demodulation of a single fringe pattern,” Opt. Express 17(17), 15118–15127 (2009). [CrossRef] [PubMed]
  2. E. Stoykova, G. Minchev, and V. Sainov, “Fringe projection with a sinusoidal phase grating,” Appl. Opt. 48(24), 4774–4784 (2009). [CrossRef] [PubMed]
  3. M. Sasso, G. Chiappini, G. Palmieri, and D. Amodio, “Superimposed fringe projection for three-dimensional shape acquisition by image analysis,” Appl. Opt. 48(13), 2410–2420 (2009). [CrossRef] [PubMed]
  4. B. Pan, Q. Kemao, L. Huang, and A. Asundi, “Phase error analysis and compensation for nonsinusoidal waveforms in phase-shifting digital fringe projection profilometry,” Opt. Lett. 34(4), 416–418 (2009). [CrossRef] [PubMed]
  5. S. S. Gorthi and P. Rastogi, “Fringe projection techniques: whither we are?” Opt. Lasers Eng. 48(2), 133–140 (2010). [CrossRef]
  6. Z. Wang, H. Du, and H. Bi, “Out-of-plane shape determination in generalized fringe projection profilometry,” Opt. Express 14(25), 12122–12133 (2006). [CrossRef] [PubMed]
  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 Trans. Instrum. Meas. 49(3), 628–636 (2000). [CrossRef]
  8. Z. Zhang, C. E. Towers, and D. P. Towers, “Uneven fringe projection for efficient calibration in high-resolution 3D shape metrology,” Appl. Opt. 46(24), 6113–6119 (2007). [CrossRef] [PubMed]
  9. Z. Zhang, H. Ma, S. Zhang, T. Guo, C. E. Towers, and D. P. Towers, “Simple calibration of a phase-based 3D imaging system based on uneven fringe projection,” Opt. Lett. 36(5), 627–629 (2011). [CrossRef] [PubMed]
  10. Z. Zhang, H. Ma, T. Guo, S. Zhang, and J. Chen, “Simple, flexible calibration of phase calculation-based three-dimensional imaging system,” Opt. Lett. 36(7), 1257–1259 (2011). [CrossRef] [PubMed]
  11. L. Chen and C. Quan, “Fringe projection profilometry with nonparallel illumination: a least-squares approach,” Opt. Lett. 30(16), 2101–2103 (2005). [CrossRef] [PubMed]
  12. L. Chen and C. Quan, “Reply to comment on ‘Fringe projection profilometry with nonparallel illumination: a least-squares approach’,” Opt. Lett. 31(13), 1974–1975 (2006). [CrossRef]
  13. Z. Wang and H. Bi, “Comment on ‘Fringe projection profilometry with nonparallel illumination: a least-squares approach’,” Opt. Lett. 31(13), 1972–1973 (2006). [CrossRef] [PubMed]
  14. V. S. Cheng, R. Yang, C. Hui, and Y. Chen, “Optimal layout of fringe projection for three-dimensional measurement,” Opt. Eng. 47(5), 050503 (2008). [CrossRef]
  15. A. Maurel, P. Cobelli, V. Pagneux, and P. Petitjeans, “Experimental and theoretical inspection of the phase-to-height relation in Fourier transform profilometry,” Appl. Opt. 48(2), 380–392 (2009). [CrossRef] [PubMed]
  16. B. A. Rajoub, M. J. Lalor, D. R. Burton, and S. A. Karout, “A new model for measuring object shape using non-collimatedfringe-pattern Projections,” J. Opt. A, Pure Appl. Opt. 9(6), S66–S75 (2007). [CrossRef]
  17. L. Salas, E. Luna, J. Salinas, V. Garcı́a, and M. Servı́n, “Profilometry by fringe projection,” Opt. Eng. 42(11), 3307–3314 (2003). [CrossRef]
  18. H. Liu, W. H. Su, K. Reichard, and S. Yin, “Calibration-based phase-shifting projected fringe profilometry for accurate absolute 3D surface profile measurement,” Opt. Commun. 216(1–3), 65–80 (2003). [CrossRef]
  19. M. Fujigaki, A. Takagishi, T. Matui, and Y. Morimoto, “Development of real-time shape measurement system using whole space tabulation method,” Proc. SPIE 7066, 61–68 (2008).
  20. V. Srinivasan, H. C. Liu, and M. Halioua, “Automated phase-measuring profilometry: a phase mapping approach,” Appl. Opt. 24(2), 185–188 (1985). [CrossRef] [PubMed]
  21. L. Huang, P. S. Chua, and A. Asundi, “Least-squares calibration method for fringe projection profilometry considering camera lens distortion,” Appl. Opt. 49(9), 1539–1548 (2010). [CrossRef] [PubMed]
  22. M. Vo, Z. Wang, T. Hoang, and D. Nguyen, “Flexible calibration technique for fringe-projection-based three-dimensional imaging,” Opt. Lett. 35(19), 3192–3194 (2010). [CrossRef] [PubMed]
  23. Q. Xu, Y. Zhong, and Z. You, “System calibration technique of profilometry by projected grating,” Opt. Technol. 26(2), 126–133 (2000).

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