OSA's Digital Library

Applied Optics

Applied Optics


  • Vol. 43, Iss. 27 — Sep. 20, 2004
  • pp: 5206–5213

Fourier fringe processing by use of an interpolated Fourier-transform technique

Steve Vanlanduit, Joris Vanherzeele, Patrick Guillaume, Bart Cauberghe, and Peter Verboven  »View Author Affiliations

Applied Optics, Vol. 43, Issue 27, pp. 5206-5213 (2004)

View Full Text Article

Enhanced HTML    Acrobat PDF (1724 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



Recently a powerful Fourier transform technique was introduced that was able to extract the phase from only one image. However, because the method is based on the two-dimensional Fourier transform, it inherently suffers from leakage effects. A novel procedure is proposed that does not exhibit this distortion. The procedure uses localized information and estimates both the unknown frequencies and the phases of the fringe pattern (using an interpolated fast Fourier transform method). This allows us to demodulate the fringe pattern without any distortion. The proposed technique is validated on both computer simulations and the profile measurements of a tube.

© 2004 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval

Original Manuscript: December 15, 2003
Revised Manuscript: April 13, 2004
Manuscript Accepted: April 19, 2004
Published: September 20, 2004

Steve Vanlanduit, Joris Vanherzeele, Patrick Guillaume, Bart Cauberghe, and Peter Verboven, "Fourier fringe processing by use of an interpolated Fourier-transform technique," Appl. Opt. 43, 5206-5213 (2004)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. D. M. Meadows, W. O. Johnson, J. B. Allen, “Generation of surface contours by moiré patterns,” Appl. Opt. 9, 942–947 (1970). [CrossRef] [PubMed]
  2. H. Takasaki, “Moiré topography,” Appl. Opt. 9, 1467–1472 (1970). [CrossRef] [PubMed]
  3. M. Takeda, H. Ina, S. Koboyashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982). [CrossRef]
  4. M. Takeda, K. Mutoh, “Fourier transform profilometry for the automatic measurement of 3-D object shapes,” Appl. Opt. 22, 3977–3982 (1983). [CrossRef] [PubMed]
  5. X. Su, W. Chen, “Fourier transform profilometry: a review,” Opt. Lasers Eng. 35, 263–284 (2001). [CrossRef]
  6. J. Li, X. Su, L. Guo, “Improved Fourier-transform profilometry for automatic measurement of three-dimension object shapes,” Opt. Eng. 29, 1439–1444 (1990). [CrossRef]
  7. J. Yi, S. Huang, “Modified Fourier transform profilometry for the measurement of 3-D steep shapes,” Opt. Lasers Eng. 27, 493–505 (1997). [CrossRef]
  8. M. Takeda, Q. Gu, M. Kinoshita, H. Takai, Y. Takahashi, “Frequency-multiplex Fourier-transform profilometry: a single-shot, three-dimensional shape measurement of objects with large height discontinuities and/or surface isolations,” Appl. Opt. 36, 5347–5353 (1997). [CrossRef] [PubMed]
  9. J. Lin, X. Su, “Two-dimensional Fourier-transform profilometry for the automatic measurement of three-dimensional object shapes,” Opt. Eng. 11, 3297–3302 (1995).
  10. P. F. Panter, Modulation, Noise and Spectral Analysis (McGraw-Hill, New York, 1965).
  11. G. Fornaro, G. Franceschetti, R. Lanari, E. Sansosti, “Robust phase-unwrapping techniques: a comparison,” J. Opt. Soc. Am. 13, 2355–2366 (1996). [CrossRef]
  12. A. Baldi, F. Bertolino, F. Ginesu, “On the performance of some unwrapping algorithms,” Opt. Lasers Eng. 37, 313–330 (2002). [CrossRef]
  13. D. W. Robinson, “Phase unwrapping methods,” in Interferogram Analysis: Digital Fringe Pattern Measurement Techniques, D. W. Robinson, G. T. Reid, eds. (Institute of Physics Publishing, Bristol, UK, 1993), Chap. 6, pp. 194–229.
  14. H. Renders, J. Schoukens, G. Vilain, “High-accuracy spectrum analysis of sampled discrete frequency signals by analytical leakage compensation,” IEEE Trans. Instrum. Meas. IM-33, 287–292 (1984). [CrossRef]
  15. V. K. Jain, W. L. Collins, D. C. Davis, “High-accuracy analog measurements via interpolated FFT,” IEEE Trans. Instrum. Meas. IM-28, 113–122 (1979). [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