OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 19, Iss. 8 — Aug. 1, 2002
  • pp: 1524–1531

Modulo 2π fringe orientation angle estimation by phase unwrapping with a regularized phase tracking algorithm

Juan Antonio Quiroga, Manuel Servin, and Francisco Cuevas  »View Author Affiliations


JOSA A, Vol. 19, Issue 8, pp. 1524-1531 (2002)
http://dx.doi.org/10.1364/JOSAA.19.001524


View Full Text Article

Acrobat PDF (1521 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The fringe orientation angle provides useful information for many fringe-pattern-processing techniques. From a single normalized fringe pattern (background suppressed and modulation normalized), the fringe orientation angle can be obtained by computing the irradiance gradient and performing a further arctangent computation. Because of the 180° ambiguity of the fringe direction, the orientation angle computed from the gradient of a single fringe pattern can be determined only modulo π. Recently, several studies have shown that a reliable determination of the fringe orientation angle modulo 2π is a key point for a robust demodulation of the phase from a single fringe pattern. We present an algorithm for the computation of the modulo 2π fringe orientation angle by unwrapping the orientation angle obtained from the gradient computation with a regularized phase tracking method. Simulated as well as experimental results are presented.

© 2002 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.2960) Image processing : Image analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

Citation
Juan Antonio Quiroga, Manuel Servin, and Francisco Cuevas, "Modulo 2π fringe orientation angle estimation by phase unwrapping with a regularized phase tracking algorithm," J. Opt. Soc. Am. A 19, 1524-1531 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-8-1524


Sort:  Author  |  Year  |  Journal  |  Reset

References

  1. T. Kreis, Holographic Interferometry (Akademie, Berlin, 1996).
  2. N. Alcalá-Ochoa, J. L. Marroquin, and A. Dávila, “Phase recovery using a twin pulsed addition fringe pattern in ESPI,” Opt. Commun. 163, 15–19 (1999).
  3. J. A. Quiroga, J. A. Gomez-Pedrero, and A. Garcia-Botella, “Algorithm for fringe pattern normalization,” Opt. Commun. 197, 43–51 (2001).
  4. X. Zhou, J. P. Baird, and J. F. Arnold, “Fringe-orientation estimation by use of a Gaussian gradient-filter and neighboring-direction averaging,” Appl. Opt. 38, 795–804 (1999).
  5. M. Servin, J. L. Marroquin, and F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689–695 (2001).
  6. J. L. Marroquin, R. Rodriguez-Vera, and M. Servin, “Local phase from local orientation by solution of a sequence of linear systems,” J. Opt. Soc. Am. A 15, 1536–1544 (1998).
  7. K. G. Larkin, D. J. Bone, and M. A. Oldfield, “Natural demodulation of two-dimensional fringe patterns. I. General background of the spiral phase quadrature transform,” J. Opt. Soc. Am. A 18, 1862–1870 (2001).
  8. R. N. Bracewell, The Fourier Transform and Its Applications, 2nd ed. (McGraw Hill, New York, 1978).
  9. D. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping (Wiley, New York, 1998).
  10. M. Servin, F. J. Cuevas, D. Malacara, J. L. Marroquin, and R. Rodriguez-Vera, “Phase unwrapping through demodulation by use of the regularized phase-tracking technique,” Appl. Opt. 38, 1934–1941 (1999).
  11. B. Ströbel, “Processing of interferometric phase maps as complex-valued phasor images,” Appl. Opt. 35, 2192–2198 (1996).

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