OSA's Digital Library

Optics Letters

Optics Letters


  • Vol. 24, Iss. 13 — Jul. 1, 1999
  • pp: 905–907

Determination of interferometer phase distributions by use of wavelets

L. R. Watkins, S. M. Tan, and T. H. Barnes  »View Author Affiliations

Optics Letters, Vol. 24, Issue 13, pp. 905-907 (1999)

View Full Text Article

Acrobat PDF (1067 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



A new technique for directly extracting phase gradients from two-dimensional (2-D) interferometer fringe data is presented. One finds the gradients by tracking the maximum modulus of the continuous wavelet transform of the fringe data and the phase distribution that is obtained, with a small error, by integration. Problems associated with phase unwrapping are thereby avoided. The technique is compared with standard methods, and excellent agreement is found. In common with Fourier-transform methods, the technique is capable of extracting the full 2-D phase distribution from a single image.

© 1999 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(100.7410) Image processing : Wavelets
(120.3180) Instrumentation, measurement, and metrology : Interferometry

L. R. Watkins, S. M. Tan, and T. H. Barnes, "Determination of interferometer phase distributions by use of wavelets," Opt. Lett. 24, 905-907 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset


  1. K. Creath, in Progress in Optics, E. Wolf, ed. (Elsevier, Amsterdam, The Netherlands, 1988), Vol. 26, p. 384.
  2. M. Takeda, Indust. Metrol. 1, 79 (1990).
  3. H. Singh and J. Sirkis, Appl. Opt. 33, 5016 (1994).
  4. J. Marroquin, M. Servin, and R. Vera, Opt. Lett. 23, 238 (1998).
  5. I. Daubechies, Ten Lectures on Wavelets (Society for Industrial and Applied Mathematics, Philadelphia, Pa., 1992), Chap. 2.
  6. D. Gabor, J. Inst. Electr. Eng. 93, 429 (1946).
  7. W. Press, S. Teukolsky, W. Vetterling, and B. Flannery, Numerical Recipes in FORTRAN, 2nd ed. (Cambridge U. Press, Cambridge, 1992), Chap. 13.

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