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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 8 — Mar. 10, 1998
  • pp: 1370–1376

Two-Dimensional Regression for Interferometric Phase Extraction

Enxi Yu and Soyoung Stephen Cha  »View Author Affiliations


Applied Optics, Vol. 37, Issue 8, pp. 1370-1376 (1998)
http://dx.doi.org/10.1364/AO.37.001370


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Abstract

An approach based on two-dimensional iterative nonlinear regression for retrieving phase information from single-frame interferograms was formulated and tested for fluid- and heat-flow measurements. Even though an initial crude phase assignment—i.e., fringe-order numbers at limited data points—is needed, the approach does not require complete phase unwrapping as in conventional techniques. Testing of computer-simulated and real interferometric data shows stable convergence and accurate phase extraction. The method works well under a high noise level, including broken fringes or contaminated regions, with a good noise-cleansing capacity. It provides accuracy at image- or opaque-object boundaries and directly offers spatial-gradient values. A weakness, however, can be intensive computation in the iterative estimation. The method is a good candidate for single-frame interferogram reduction.

© 1998 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(280.2490) Remote sensing and sensors : Flow diagnostics

Citation
Enxi Yu and Soyoung Stephen Cha, "Two-Dimensional Regression for Interferometric Phase Extraction," Appl. Opt. 37, 1370-1376 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-8-1370


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References

  1. G. T. Reid, “Automatic fringe pattern analysis: a review,” Opt. Lasers Eng. 7, 37–38 (1987).
  2. J. S. Slepicka and S. S. Cha, “Stabilized nonlinear regression for interferogram analysis,” Appl. Opt. 34, 5039–5044 (1995).
  3. L. W. Carr and Y. H. Yu, “The use of interferometry in the study of rotorcraft aerodynamics,” Opt. Lasers Eng. 17, 121–146 (1992).
  4. J. A. Cobbett and S. S. Cha, “Radiative thermal loading of pyrotechnical energy pumping on phosphate laser glass,” Exp. Heat Transfer 10, 451–462 (1997).
  5. F. Becker and Y. H. Yu, “Digital fringe reduction techniques applied to the measurement of three-dimensional transonic flow fields,” Opt. Eng. 24, 429–434 (1985).
  6. E. Yu, S. S. Cha, and W. Joo, “Use of interferometric directionality for noise reduction,” Opt. Eng. 34, 173–182 (1995).
  7. W. Joo and S. S. Cha, “Automated interferogram analysis based on an integrated expert system,” Appl. Opt. 34, 7486–7496 (1995).
  8. M. Takeda, H. Ina, and S. Kobayashi, “Fourier-transform method of fringe-pattern analysis for computer-based topography and interferometry,” J. Opt. Soc. Am. 72, 156–160 (1982).
  9. T. Kreis, “Digital holographic interference-phase measurement using the Fourier-transform method,” J. Opt. Soc. Am. A 3, 847–855 (1986).
  10. T. R. Judge and P. J. Bryanston-Cross, “A review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng. 21, 199–239 (1994).

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