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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 45, Iss. 21 — Jul. 20, 2006
  • pp: 5086–5091

Fast three-step phase-shifting algorithm

Peisen S. Huang and Song Zhang  »View Author Affiliations

Applied Optics, Vol. 45, Issue 21, pp. 5086-5091 (2006)

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We propose a new three-step phase-shifting algorithm, which is much faster than the traditional three-step algorithm. We achieve the speed advantage by using a simple intensity ratio function to replace the arctangent function in the traditional algorithm. The phase error caused by this new algorithm is compensated for by use of a lookup table. Our experimental results show that both the new algorithm and the traditional algorithm generate similar results, but the new algorithm is 3.4 times faster. By implementing this new algorithm in a high-resolution, real-time three-dimensional shape measurement system, we were able to achieve a measurement speed of 40 frames per second at a resolution of 532 × 500 pixels, all with an ordinary personal computer.

© 2006 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis

ToC Category:
Instrumentation, Measurement, and Metrology

Original Manuscript: November 1, 2005
Revised Manuscript: March 6, 2006
Manuscript Accepted: March 7, 2006

Peisen S. Huang and Song Zhang, "Fast three-step phase-shifting algorithm," Appl. Opt. 45, 5086-5091 (2006)

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  1. D.Malacara, ed., Optical Shop Testing (Wiley, 1992).
  2. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998).
  3. M. A. Herráez, D. R. Burton, M. J. Lalor, and M. A. Gdeisat, "Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path," Appl. Opt. 41, 7437-7444 (2002). [CrossRef] [PubMed]
  4. M. A. Herráez, M. A. Gdeisat, D. R. Burton, and M. J. Lalor, "Robust, fast, and effective two-dimensional automatic phase unwrapping algorithm based on image decomposition," Appl. Opt. 41, 7445-7455 (2002). [CrossRef] [PubMed]
  5. A. Asundi and W. Zhou, "Fast phase-unwrapping algorithm based on a gray-scale mask and flood fill," Appl. Opt. 37, 5416-5420 (1998). [CrossRef]
  6. P. Huang, S. Zhang, and F.-P. Chiang, "Trapezoidal phase-shifting method for 3-D shape Measurement," in Two- and Three-Dimensional Vision Systems for Inspection, Control, and Metrology II, K. G. Harding, ed., Proc. SPIE 5606, 142-152 (2004). [CrossRef]
  7. D.-S. Wan and D.-T. Lin, "Ronchi test and a new phase reduction algorithm," Appl. Opt. 29, 3255-3265 (1990). [CrossRef] [PubMed]
  8. P. S. Huang, C. Zhang, and F. P. Chiang, "High-speed 3-D shape measurement based on digital fringe projection," Opt. Eng. 42, 163-168 (2003). [CrossRef]
  9. S. Zhang and P. Huang, "High-resolution, real-time 3-D shape acquisition," presented at the IEEE Computer Vision and Pattern Recognition Workshop (CVPRW'04), Washington, D.C., 27 June-2 July 2004.
  10. S. Zhang, "High-resolution, real-time 3D shape measurement," Ph.D. thesis (State University of New York at Stony Brook, 2005).
  11. C. Zhang, P. S. Huang, and F.-P. Chiang, "Microscopic phase-shifting profilometry based on digital micromirror device technology," Appl. Opt. 41, 5896-5904 (2002). [CrossRef] [PubMed]
  12. B. Carrihill and R. Hummel, "Experiments with the intensity ratio depth sensor," Comput. Vis. Graph. Image Process. 32, 337-358 (1985). [CrossRef]
  13. T. Miyasaka, K. Kuroda, M. Hirose, and K. Araki, "Reconstruction of realistic 3D surface model and 3D animation from range images obtained by real time 3D measurement system," in Proceedings of the International Conference on Pattern Recognition 2000 (IEEE, 2000), pp. 594-598. [CrossRef]
  14. T. Miyasaka, K. Kuroda, M. Hirose, and K. Araki, "High speed 3-D measurement system using incoherent light source for human performance analysis," in XIXth Congress of the International Society for Photogrammetry and Remote Sensing, K.J. B. M.Molenaar, ed. (ISPRS, 2000), pp. 16-23.
  15. G. Chazan and N. Kiryati, "Pyramidal intensity-ratio depth sensor," Tech. Rep. 121 (Israel Institute of Technology, 1995).

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