OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 25, Iss. 10 — May. 15, 1986
  • pp: 1653–1660

Fringe-pattern analysis using a 2-D Fourier transform

Donald J. Bone, H.-A. Bachor, and R. John Sandeman  »View Author Affiliations


Applied Optics, Vol. 25, Issue 10, pp. 1653-1660 (1986)
http://dx.doi.org/10.1364/AO.25.001653


View Full Text Article

Enhanced HTML    Acrobat PDF (1194 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A refinement of the Fourier transform fringe-pattern analysis technique which uses a 2-D Fourier transform is described. The 2-D transform permits better separation of the desired information components from unwanted components than a 1-D transform. The accuracy of the technique when applied to real data recorded by a system with a nonlinear response function is investigated. This leads to simple techniques for optimizing an interferogram for analysis by these Fourier transform methods and to an estimate of the error in the retrieved fringe shifts. This estimate is tested on simulated data and found to be reliable.

© 1986 Optical Society of America

History
Original Manuscript: September 6, 1985
Published: May 15, 1986

Citation
Donald J. Bone, H.-A. Bachor, and R. John Sandeman, "Fringe-pattern analysis using a 2-D Fourier transform," Appl. Opt. 25, 1653-1660 (1986)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-25-10-1653


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. Takeda, H. Ina, S. Kobayashi, “Fourier-Transform Method of Fringe-Pattern Analysis for Computer-Based Topography and Interferometry,” J. Opt. Soc. Am. 72, 156 (1981). [CrossRef]
  2. W. W. Macy, “Two-Dimensional Fringe-Pattern Analysis,” Appl. Opt. 22, 3898 (1983). [CrossRef] [PubMed]
  3. D. S. Rozhdestvenskii, “Anomalous Dispersion in Sodium Vapor,” Ann. Phys. 39, 307 (1912).
  4. W. C. Marlow, “Hakenmethode,” Appl. Opt. 6, 1715 (1967). [CrossRef] [PubMed]
  5. D. J. Bone, H.-A. Bachor, R. J. Sandeman, “Spectral-Line Interferometry with Temporal and Spatial Resolution,” to be published in Opt. Comm.57, (1986). [CrossRef]
  6. For example, J. K. Pratt, Digital Image Processing (Wiley, New York, 1978).
  7. M. Takeda, K. Mutoh, “Fourier Transform Profilometry for the Automatic Measurement of 3-D Object Shapes,” Appl Opt. 22,3977 (1983). [CrossRef] [PubMed]
  8. See, for example,P. Z. Peebles, Communications System Principles (Addison-Wesley, Reading, Mass., 1976).
  9. D. E. Dudgeon, R. M. Mersereau, Multidimensional Digital Signal Processing (Prentice-Hall, Englewood Cliffs, NJ, 1984).
  10. R. E. Crochiere, L. R. Rabiner, Multirate Digital Signal Processing (Prentice Hall, Englewood Cliffs, NJ, 1983).

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