OSA's Digital Library

Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 48, Iss. 6 — Feb. 20, 2009
  • pp: 1052–1061

Three-dimensional shape measurement with a fast and accurate approach

Zhaoyang Wang, Hua Du, Seungbae Park, and Huimin Xie  »View Author Affiliations

Applied Optics, Vol. 48, Issue 6, pp. 1052-1061 (2009)

View Full Text Article

Enhanced HTML    Acrobat PDF (1229 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A noncontact, fast, accurate, low-cost, broad-range, full-field, easy-to-implement three-dimensional (3D) shape measurement technique is presented. The technique is based on a generalized fringe projection profilometry setup that allows each system component to be arbitrarily positioned. It employs random phase-shifting, multifrequency projection fringes, ultrafast direct phase unwrapping, and inverse self-calibration schemes to perform 3D shape determination with enhanced accuracy in a fast manner. The relative measurement accuracy can reach 1 / 10,000 or higher, and the acquisition speed is faster than two 3D views per second. The validity and practicability of the proposed technique have been verified by experiments. Because of its superior capability, the proposed 3D shape measurement technique is suitable for numerous applications in a variety of fields.

© 2009 Optical Society of America

OCIS Codes
(110.6880) Imaging systems : Three-dimensional image acquisition
(120.2830) Instrumentation, measurement, and metrology : Height measurements
(120.6660) Instrumentation, measurement, and metrology : Surface measurements, roughness
(150.6910) Machine vision : Three-dimensional sensing

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: October 22, 2008
Revised Manuscript: December 5, 2008
Manuscript Accepted: January 22, 2009
Published: February 12, 2009

Zhaoyang Wang, Hua Du, Seungbae Park, and Huimin Xie, "Three-dimensional shape measurement with a fast and accurate approach," Appl. Opt. 48, 1052-1061 (2009)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. C. Keferstein and M. Marxer, “Testing bench for laser triangulation sensors,” Sens. Rev. 18, 183-187 (1998). [CrossRef]
  2. T. Yoshizawa and T. Tomisawa, “Shadow moiré topography by means of the phase shift method,” Opt. Eng. 32, 1668-1674 (1993). [CrossRef]
  3. C. Wagner, W. Osten, and S. Seebacher, “Direct shape measurement by digital wavefront reconstruction and wavelength scanning,” Opt. Eng. 39, 79-85 (2000). [CrossRef]
  4. C. Fraser, “Photogrammetric measurement to one part in a million,” Photogramm. Eng. Remote Sens. 58, 305-310 (1992).
  5. S. Kyle, R. Loser, and D. Warren, “Automated part positioning with the laser tracker,” in Proceedings of the Fifth International Workshop on Accelerator Alignment, ANL/FNAL (1997).
  6. S. McNeill, M. Sutton, Z. Miao, and J. Ma, “Measurement of surface profile using digital image correlation,” Exp. Mech. 37, 13-20 (1997). [CrossRef]
  7. F. Chen, G. Brown, and M. Song, “Overview of 3-D shape measurement using optical methods,” Opt. Eng. 39, 10-22(2000). [CrossRef]
  8. W. Schreiber and G. Notni, “Theory and arrangements of self-calibrating whole-body 3-D measurement systems using fringe projection technique,” Opt. Eng. 39, 159-169 (2000). [CrossRef]
  9. L. Salas, E. Luna, J. Salinas, V. Garcia, and M. Servin, “Profilometry by fringe projection,” Opt. Eng. 42, 3307-3314(2003). [CrossRef]
  10. Q. Hu, P. Huang, Q. Fu, and F. Chiang, “Calibration of a three-dimensional shape measurement system,” Opt. Eng. 42, 487-493 (2003). [CrossRef]
  11. R. Legarda-Sáenz, T. Bothe, and W. Juptner, “Accurate procedure for the calibration of a structured light system,” Opt. Eng. 43, 464-471 (2004). [CrossRef]
  12. C. Tay, C. Quan, T. Wu, and Y. Huang, “Integrated method for 3-D rigid-body displacement measurement using fringe projection,” Opt. Eng. 43, 1152-1159 (2004). [CrossRef]
  13. T. Peng, S. Gupta, and K. Lau, “Algorithms for constructing 3-D point clouds using multiple digital fringe patterns,” Comput. Aided Des. Appl. 2, 737-746 (2005).
  14. J. Pan, P. Huang, and F. Chiang, “Color-coded binary fringe projection technique for 3-D shape measurement,” Opt. Eng. 44, 023606 (2005). [CrossRef]
  15. H. Guo, H. He, Y. Yu, and M. Chen, “Least-squares calibration method for fringe projection profilometry,” Opt. Eng. 44, 033603 (2005). [CrossRef]
  16. S. Zhang, X. Li, and S. Yau, “Multilevel quality-guided phase unwrapping algorithm for real-time three-dimensional shape reconstruction,” Appl. Opt. 46, 50-57 (2007). [CrossRef]
  17. S. Zhang and S. Yau, “Generic nonsinusoidal phase error correction for three-dimensional shape measurement using a digital video projector,” Appl. Opt. 46, 36-43 (2007). [CrossRef]
  18. L. Chen and C. Quan, “Fringe projection profilometry with nonparallel illumination: a least-squares approach,” Opt. Lett. 30, 2101-2103 (2005). [CrossRef] [PubMed]
  19. L. Chen and C. Quan, “Reply to comment on 'fringe projection profilometry with nonparallel illumination: a least-squares approach,'” Opt. Lett. 31, 1974-1975 (2006). [CrossRef]
  20. Z. Wang and H. Bi, “Comments on fringe projection profilometry with nonparallel illumination: a least-squares approach,” Opt. Lett. 31, 1972-1973 (2006). [CrossRef] [PubMed]
  21. H. Du and Z. Wang, “Real-time 3-D shape measurement with high accuracy and low cost,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Application System Technologies, OSA Technical Digest Series (CD) (Optical Society of America, 2006), paper JThD49. [PubMed]
  22. Z. Wang, H. Du, and H. Bi, “Out-of-plane shape determination in fringe projection profilometry,” Opt. Express 14, 12122-12133 (2006). [CrossRef] [PubMed]
  23. H. Guo, M. Chen, and P. Zhang, “Least-squares fitting of carrier phase distribution by using a rational function in fringe projection profilometry,” Opt. Lett. 31, 3588-3590(2006). [CrossRef] [PubMed]
  24. H. Du and Z. Wang, “Three-dimensional shape measurement with arbitrarily arranged fringe projection profilometry system,” Opt. Lett. 32, 2438-2440 (2007). [CrossRef] [PubMed]
  25. Z. Wang and B. Han, “Advanced iterative algorithm for phase extraction of randomly phase-shifted interferograms,” Opt. Lett. 29, 1671-1673 (2004). [CrossRef] [PubMed]
  26. Z. Wang and B. Han, “Advanced iterative algorithm for randomly phase-shifted interferograms with intra- and inter-frame intensity variations,” Opt. Lasers Eng. 45, 274-280 (2007). [CrossRef]
  27. C. Coggrave and J. Huntley, “High-speed surface profilometer based on a spatial light modulator and pipeline image processor,” Opt. Eng. 38, 1573-1581 (1999). [CrossRef]
  28. L. Kinell, “Spatiotemporal approach for real-time absolute shape measurements by use of projected fringes,” Appl. Opt. 43, 3018-3027 (2004). [CrossRef] [PubMed]
  29. J. Tian and X. Peng, “Three-dimensional vision from a multisensing mechanism,” Appl. Opt. 45, 3003-3008 (2006). [CrossRef] [PubMed]
  30. W. Osten, W. Nadeborn, and P. Andra, “General hierarchical approach in absolute phase measurement,” Proc. SPIE 2860, 2-13 (1996). [CrossRef]
  31. W. Nadeborn, P. Andra, and W. Osten, “A robust procedure for absolute phase measurement,” Opt. Lasers Eng. 24, 245-260(1996). [CrossRef]
  32. J. Burke, T. Bothe, W. Osten, and C. Hess, “Reverse engineering by fringe projection,” Proc. SPIE 4778, 312-324(2002). [CrossRef]
  33. W. Osten and P. Ferraro, “Digital holography and its application in MEMS/MOEMS inspection,” in Optical Inspection of Microsystems, W. Osten, ed. (CRC Press, 2006), p. 351-425.
  34. R. Tsai, “A versatile camera calibration technique for high accuracy 3D machine vision metrology using off-the-shelf TV cameras and lenses,” IEEE J. Robot. Autom. 3, 323-344(1987). [CrossRef]
  35. Z. Zhang, “A flexible new technique for camera calibration,” IEEE Trans. Pattern Anal. Mach. Intell. 22, 1330-1334(2000). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited