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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 3 — Jan. 30, 2012
  • pp: 2556–2561

Fast two-dimensional simultaneous phase unwrapping and low-pass filtering

Miguel A. Navarro, Julio C. Estrada, M. Servin, Juan A. Quiroga, and Javier Vargas  »View Author Affiliations


Optics Express, Vol. 20, Issue 3, pp. 2556-2561 (2012)
http://dx.doi.org/10.1364/OE.20.002556


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Abstract

Here, we present a fast algorithm for two-dimensional (2D) phase unwrapping which behaves as a recursive linear filter. This linear behavior allows us to easily find its frequency response and stability conditions. Previously, we published a robust to noise recursive 2D phase unwrapping system with smoothing capabilities. But our previous approach was rather heuristic in the sense that not general 2D theory was given. Here an improved and better understood version of our previous 2D recursive phase unwrapper is presented. In addition, a full characterization of it is shown in terms of its frequency response and stability. The objective here is to extend our previous unwrapping algorithm and give a more solid theoretical foundation to it.

© 2012 OSA

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5088) Image processing : Phase unwrapping

ToC Category:
Image Processing

History
Original Manuscript: November 9, 2011
Revised Manuscript: December 2, 2011
Manuscript Accepted: January 4, 2012
Published: January 20, 2012

Citation
Miguel A. Navarro, Julio C. Estrada, M. Servin, Juan A. Quiroga, and Javier Vargas, "Fast two-dimensional simultaneous phase unwrapping and low-pass filtering," Opt. Express 20, 2556-2561 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-3-2556


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References

  1. K. Itoh, “Analysis of the phase unwrapping algorithm.” Appl. Opt.21, 2470 (1982). [CrossRef] [PubMed]
  2. D. C. Ghihlia and M. D. Pritt, Two-dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998).
  3. T. Judge, “A review of phase unwrapping techniques in fringe analysis,” Opt. Lasers Eng.21, 199–239 (1994). [CrossRef]
  4. D. C. Ghihlia and L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods,” J. Opt. Soc. Am. A11107–117 (1994). [CrossRef]
  5. J. L. Marroquin and M. Rivera, “Quadratic regularization functionals for phase unwrapping,” J. Opt. Soc. Am. A12, 2393–2400 (1995). [CrossRef]
  6. 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). [CrossRef]
  7. R. Goldstein, H. Zebker, and C. Werner, “Satellite radar interferometry: Two-dimensional phase unwrapping,” Radio Sci.23, 713–720 (1988). [CrossRef]
  8. T. J. Flynn, “Two-dimensional phase unwrapping with minimum weighted discontinuity,” J. Opt. Soc. Am. A14, 2692–2701 (1997). [CrossRef]
  9. J. C. Estrada, M. Servin, and J. A. Quiroga, “Noise robust linear dynamic system for phase unwrapping and smoothing,” Opt. Express19, 5126–5133 (2011). [CrossRef] [PubMed]
  10. B. Jähne, Digital Image Processing (Springer, 2005).
  11. J. G. Proakis and D. G. Manolakis, Digital Signal Processing. Principles, Algorothims, and Applications, 3rd ed. (Prentice-Hall, October5, 1995).
  12. W.-S. Lu and A. Antoniou, Two-Dimensional Digital Filters (Marcel Dekker, Inc., 1992).
  13. R. E. Kalman and R. S. Bucy, “New results in linear filtering and prediction theory,” Trans. ASME, Ser. D83, 95–107 (1961). [CrossRef]

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