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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 44, Iss. 8 — Mar. 10, 2005
  • pp: 1401–1409

Phase retrieval with a three-frame phase-shifting algorithm with an unknown phase shift

Cho Jui Tay, Chenggen Quan, and Lujie Chen  »View Author Affiliations


Applied Optics, Vol. 44, Issue 8, pp. 1401-1409 (2005)
http://dx.doi.org/10.1364/AO.44.001401


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Abstract

A three-frame phase-shifting algorithm with a constant but unknown phase shift is proposed. The algorithm is based on background-intensity removal prior to phase retrieval to eliminate an undetermined factor in a fringe pattern. The proposed method is validated on three-dimensional profilometry by fringe projection and on deformation measurement by means of digital speckle shearing interferometry. For a fringe pattern with slow-varying background intensity, the background removal is achieved in the frequency domain. For a speckle pattern, a background removal technique is integrated with the three-frame algorithm. In this process, manual intervention is minimal, and high computational speed is achieved. In addition, high-frequency phase signals would not be removed in the noise-reduction process as is the case in the bandpass-filtering technique. Accuracy of the method is discussed.

© 2005 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure

History
Original Manuscript: June 25, 2004
Revised Manuscript: October 18, 2004
Manuscript Accepted: October 20, 2004
Published: March 10, 2005

Citation
Cho Jui Tay, Chenggen Quan, and Lujie Chen, "Phase retrieval with a three-frame phase-shifting algorithm with an unknown phase shift," Appl. Opt. 44, 1401-1409 (2005)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-44-8-1401


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References

  1. M. Takeda, K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 22, 3977–3982 (1983). [CrossRef] [PubMed]
  2. T. Kreis, “Digital holographic interference-phase measurement using the Fourier-transform method,” J. Opt. Soc. Am. A 3, 847–855 (1986). [CrossRef]
  3. C. J. Morgan, “Least-squares estimation in phase-measurement interferometry,” Opt. Lett. 7, 368–370 (1982). [CrossRef] [PubMed]
  4. J. C. Wyant, B. F. Oreb, P. Hariharan, “Testing aspherics using two-wavelength holography: use of digital electronic techniques,” Appl. Opt. 23, 4020–4023 (1984). [CrossRef] [PubMed]
  5. C. Quan, X. Y. He, C. F. Wang, C. J. Tay, H. M. Shang, “Shape measurement of small objects using LCD fringe projection with phase shifting,” Opt. Commun. 189, 21–29 (2001). [CrossRef]
  6. P. Hariharan, B. F. Oreb, T. Eiju, “Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm,” Appl. Opt. 26, 2504–2506 (1987). [CrossRef] [PubMed]
  7. X. Le, G. Tao, Y. Yang, “Continual deformation analysis with scanning phase method and time sequence phase method in temporal speckle pattern interferometry,” Opt. Laser Technol. 33, 53–59 (2001). [CrossRef]
  8. C. Joenathan, B. Franze, P. Haible, H. J. Tiziani, “Speckle interferometry with temporal phase evaluation for measuring large-object deformation,” Appl. Opt. 37, 2608–2614 (1998). [CrossRef]
  9. P. Carré, “Installation et utilization du compateur photoelectrique et interferential du Bureau International des Poids et Mesures,” Metrologia 2, 13–20 (1966). [CrossRef]
  10. K. Creath, “Phase-shifting speckle interferometry,” Appl. Opt. 24, 3053–3058 (1985). [CrossRef] [PubMed]
  11. Y. Y. Cheng, J. C. Wyant, “Phase shifter calibration in phase-shifting interferometry,” Appl. Opt. 24, 3049–3052 (1985). [CrossRef] [PubMed]
  12. J. Novak, “Five-step phase-shifting algorithms with unknown values of phase shift,” Optik 114, 63–68 (2003). [CrossRef]
  13. F. Mendoza-Santoyo, D. Kerr, J. R. Tyrer, “Interferometric fringe analysis using a single phase step technique,” Appl. Opt. 27, 4362–4364 (1988).
  14. S. Almazan-Cuellar, D. Malacara-Hemandez, “Two-step phase-shifting algorithm,” Opt. Eng. 42, 3524–3531 (2003). [CrossRef]
  15. M. Lehmann, “Speckle statistic in the context of digital speckle,” in Digital Speckle Pattern Interferometry and Related Techniques,P. K. Rastogi, ed. (Wiley, Chichester, UK, 2001).
  16. D. Kerr, F. Mendoza-Santoyo, J. R. Tyrer, “Manipulation of the Fourier components of speckle fringe patterns as part of an interferometric analysis process,” J. Mod. Opt. 36, 195–302 (1989). [CrossRef]
  17. C. C. Kao, G. B. Yeh, S. S. Lee, C. K. Lee, C. S. Yang, K. C. Wu, “Phase-shifting algorithms for electronic speckle pattern interferometry,” Appl. Opt. 41, 46–54 (2002). [CrossRef] [PubMed]
  18. D. R. Schmitt, R. W. Hunt, “Optimization of fringe pattern calculation with direct correlations in speckle interferometry,” Appl. Opt. 36, 8848–8857 (1997). [CrossRef]
  19. T. W. Ng, F. S. Chau, “Automated analysis in digital speckle shearing interferometry using an object step-loading method,” Opt. Commun. 108, 214–218 (1994). [CrossRef]
  20. H. A. Aebischer, S. Waldner, “A simple and effective method of filtering speckle-interferometric phase fringe patterns,” Opt. Commun. 162, 205–210 (1999). [CrossRef]

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