OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 40, Iss. 8 — Mar. 10, 2001
  • pp: 1207–1215

Phase-unwrapping algorithm based on frequency analysis for measurement of a complex object by the phase-measuring-profilometry method

Lian Xue and Xianyu Su  »View Author Affiliations

Applied Optics, Vol. 40, Issue 8, pp. 1207-1215 (2001)

View Full Text Article

Enhanced HTML    Acrobat PDF (1284 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A new phase-unwrapping algorithm based on fringe frequency analysis is presented that will achieve greater automation and precision in measuring complex objects by phase-measuring profilometry (PMP). The new algorithm, which combines digital weighted filtering in the frequency domain and modulation ordering in the spatial domain, can recognize corrupt pixels automatically and produce a better phase-unwrapping path. By frequency weighted filtering, the analysis of fringe frequency is converted into the analysis of fringe modulation. Then, based on a strong correlation between local spatial frequency and the reliability of phase data, ordering of the filtered modulation produces an optimized unwrapping path. Simulation and experiments verify the new algorithm.

© 2001 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(150.6910) Machine vision : Three-dimensional sensing

Original Manuscript: July 13, 2000
Revised Manuscript: November 13, 2000
Published: March 10, 2001

Lian Xue and Xianyu Su, "Phase-unwrapping algorithm based on frequency analysis for measurement of a complex object by the phase-measuring-profilometry method," Appl. Opt. 40, 1207-1215 (2001)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. V. Srinivasan, H. C. Liu, M. Halioua, “Automated phase measuring profilometry of 3-D diffuse object,” Appl. Opt. 23, 3105–3108 (1984). [CrossRef]
  2. X.-Y. Su, W.-S. Zhou, C. von Bally, D. Vukicevic, “Automated phase-measuring profilometry using defocused projection of a Ronchi grating,” Opt. Commun. 94, 561–573 (1992). [CrossRef]
  3. M. Takeda, K. Motoh, “Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 22, 3977–3982 (1983). [CrossRef] [PubMed]
  4. J. Li, X.-Y. Su, L.-R. Gou, “An improved Fourier transform profilometry for automatic measurement of 3-D object shapes,” Opt. Eng. 29, 1439–1444 (1990). [CrossRef]
  5. X.-Y. Su, J. Li, L.-R. Gou, “An improved Fourier transform profilometry,” in Optical Testing and Metrology II, C. P. Grover, ed., Proc. SPIE954, 241–244 (1990). [CrossRef]
  6. J.-F. Lin, X.-Y. Su, “Two-dimensional Fourier transform profilometry for the automatic measurement of three-dimensional object shapes,” Opt. Eng. 34, 3297–3302 (1995). [CrossRef]
  7. S. Toyooka, Y. Iwasa, “Automatic profilometry of 3-D diffuse objects by spatial phase detection,” Appl. Opt. 25, 3012–3018 (1986).
  8. S. Tang, Y. Y. Hung, “Fast profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 29, 3012–3018 (1990). [CrossRef] [PubMed]
  9. J. M. Huntley, “Noise-immune phase unwrapping algorithm,” Appl. Opt. 28, 3260–3270 (1989).
  10. T. R. Judge, P. J. Bryanston-Cross, “A review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng. 21, 199–239 (1994). [CrossRef]
  11. H. Su, J. Li, X. Su, “Phase unwrapping without the influence of carrier frequency,” Opt. Eng. 36, 1799–1805 (1997). [CrossRef]
  12. A. Asundi, W. S. Zhou, “Fast phase-unwrapping algorithm based on a gray-scale mask and flood fill,” Appl. Opt. 37, 5416–5420 (1998). [CrossRef]
  13. H. O. Saldner, J. M. Huntley, “Temporal phase unwrapping: application to surface profiling of discontinuous objects,” Appl. Opt. 36, 2770–2775 (1997). [CrossRef] [PubMed]
  14. Y. Hao, Y. Zhao, D. Li, “Multifrequency grating projection profilometry based on the nonlinear excess fraction method,” Appl. Opt. 38, 4106–4110 (1999). [CrossRef]
  15. X. Su, G. Von Bally, D. Vukicevic, “Phase-stepping grating profilometry: utilization of intensity modulation analysis in complex objects evaluation,” Opt. Commun. 98, 141–150 (1993). [CrossRef]
  16. X. Su, A. M. Zarubin, G. Von Bally, “Modulation analysis of phase-shifting holographic interferograms,” Opt. Commun. 105, 379–387 (1994). [CrossRef]
  17. X. Su, W.-S. Zhou, “Complex object profilometry and its application for dentistry,” in Clinical Applications of Modern Imaging Technology II, L. J. Cerullo, K. S. Heiferman, H. Liu, H. Podbielska, A. O. Wist, L. J. Zamorano, eds., Proc. SPIE2132, 484–489 (1994). [CrossRef]
  18. X. Su, “Phase unwrapping techniques for 3-D shape measurement,” in International Conference on Holography and Optical Information Processing (ICHOP ’96), G. Jin, G. Mu, G. C. Sincerbox, eds., Proc. SPIE2866, 460–465 (1996). [CrossRef]
  19. J. Li, X. Su, J. Li, “Phase unwrapping algorithm based on reliability and edge-detection,” Opt. Eng. 36, 1685–1690 (1997). [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