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Applied Optics

Applied Optics


  • Editor: James C. Wyant
  • Vol. 46, Iss. 30 — Oct. 20, 2007
  • pp: 7412–7418

Comparative analysis on some filters for wrapped phase maps

Qian Kemao, Le Tran Hoai Nam, Lin Feng, and Seah Hock Soon  »View Author Affiliations

Applied Optics, Vol. 46, Issue 30, pp. 7412-7418 (2007)

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Some effective filtering methods for wrapped phase maps, a regularized phase-tracking method (RPT) without the regularization term, a multiple-parameter least-square method (MPLS), a windowed Fourier ridges method (WFR), an autocorrelation function method (ACF), and a sine∕cosine average filter (SCAF), are analyzed in order to establish their transversal relationship. The analysis shows that principles of the RPT, MPLS, WFR, and ACF are equivalent and the SCAF also leads to the WFR by some extension, which elegantly unifies all these methods for filtering unwrapped phase maps.

© 2007 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(120.2650) Instrumentation, measurement, and metrology : Fringe analysis
(120.3940) Instrumentation, measurement, and metrology : Metrology
(100.5088) Image processing : Phase unwrapping

ToC Category:
Image Processing

Original Manuscript: May 25, 2007
Revised Manuscript: August 25, 2007
Manuscript Accepted: August 28, 2007
Published: October 10, 2007

Qian Kemao, Le Tran Hoai Nam, Lin Feng, and Seah Hock Soon, "Comparative analysis on some filters for wrapped phase maps," Appl. Opt. 46, 7412-7418 (2007)

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  1. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithm, and Software (Wiley, 1998).
  2. C. M. Loeffler and R. E. Leonard, Jr., "Phase unwrapping via media filtering," in IEEE International Conference Acoustics, Speech, and Signal Process. (ICASSP) (IEEE, 1984), pp. 48.6.1-48.6.3.
  3. J. Lee, "Speckle suppression and analysis for synthetic aperture radar images," Opt. Eng. 25, 636-643 (1986).
  4. G. Bo, S. Dellepiane, and G. Beneventano, "A locally adaptive noise filtering approach for phase-unwrapping improvement," in SPIE Conference on SAR Image Analysis, Modeling, and Techniques, Florence, Italy, September 1999, Proc. SPIE 3869, 116-125 (1999). [CrossRef]
  5. A. Capanni, L. Pezzati, D. Bertani, M. Cetica, and F. Francini, "Phase-shifting speckle interferometry: a noise reduction filter for phase unwrapping," Opt. Eng. 36, 2466-2472 (1997). [CrossRef]
  6. F. Qian, X. Wang, X. Wang, and Y. Bu, "Adaptive filter for unwrapping noisy phase image in phase-stepping interferometry," Opt. Laser Technol. 33, 479-486 (2001). [CrossRef]
  7. M. J. Huang and W. Sheu, "Histogram-data-orientated filter for inconsistency removal of interferometric phase maps," Opt. Eng. 44, 045602 (2005). [CrossRef]
  8. M. Servin, F. J. Cuevas, D. Malacara, J. L. Marroguin, and R. Rodriguez-Vera, "Phase unwrapping through demodulation by use of the regularized phase-tracking technique," Appl. Opt. 38, 1934-1941 (1999). [CrossRef]
  9. M. Servin and M. Kujawinska, "Modern fringe pattern analysis in interferometry," Handbook of Optical Engineering, D. Malacara and B. J. Thompson, eds. (Dekker, 2001), Chap. 12, pp. 373-426.
  10. H. Y. Yun, C. K. Hong, and S. W. Chang, "Least-square phase estimation with multiple parameters in phase-shifting electronic speckle pattern interferometry," J. Opt. Soc. Am. A 20, 240-247 (2003). [CrossRef]
  11. Q. Kemao, "Two-dimensional windowed Fourier transform for fringe pattern analysis: principles, applications and implementations," Opt. Lasers Eng. 45, 304-317 (2007). [CrossRef]
  12. R. Kramer and O. Loffeld, "Presentation of an improved phase unwrapping algorithm based on Kalman filters combined with local slope estimation," in Proceedings of Fringe'96 ESA Workshop Applications of ERS SAR Interferometry (ESA, 1996).
  13. E. Trouve, M. Caramma, and H. Maitre, "Fringe detection in noisy complex interferograms," Appl. Opt. 35, 3799-3806 (1996). [CrossRef] [PubMed]
  14. E. Trouve, J. Nicolas, and H. Maitre, "Improving phase unwrapping techniques by the use of local frequency estimates," IEEE Trans. Geosci. Remote Sens. 36, 1963-1972 (1998). [CrossRef]
  15. J. M. Huntley, "Random phase measurement errors in digital speckle pattern interferometry," Opt. Lasers Eng. 26, 131-150 (1997). [CrossRef]
  16. H. A. Aebischer and S. Waldner, "A simple and effective method for filtering speckle-interferometric phase fringe patterns," Opt. Commun. 162, 205-210 (1999). [CrossRef]
  17. F. Palacios, E. Goncalves, J. Ricardo, and J. L. Valin, "Adaptive filter to improve the performance of phase-unwrapping in digital holography," Opt. Commun. 238, 245-251 (2004). [CrossRef]
  18. V. Rosso, F. Michel, V. Moreau, Y. Renotte, B. Tilkens, and Y. Lion, "Highlighting properties for filters for their application in temporal phase shifting interferometry," in Photonic Applications in Biosensing and Imaging, C. W. Chan, K. Yu, U. J. Krull, R. I. Hornsey, B. C. Wilson, and R. A. Weersink, eds., Proc. SPIE 5969, 59692M (2005). [CrossRef]
  19. S. Fu, H. Lin, J. Chen, and Q. Yu, "Influence of window size on the fringe orientation estimation," Opt. Commun. 272, 73-80 (2007). [CrossRef]
  20. C. Tang, W. Wang, H. Yan, and X. Gu, "Tangent least-square fitting filtering method for electrical speckle pattern interferometry phase fringe patterns," Appl. Opt. 46, 2907-2913 (2007). [CrossRef] [PubMed]
  21. S. Mallat, A Wavelet Tour of Signal Processing, 2nd ed. (Academic, 1999).
  22. G. Chunsheng, Z. Zhaoda, and Z. Daiyin, "InSAR interferogram filtering based on PD operator," J. Nanjing University of Aeronautics and Astronautics 35, 72-76 (2003).
  23. R. M. Goldstein and C. L. Werner, "Radar interferogram filtering for geophysical applications," Geophys. Res. Lett. 25, 4035-4038 (1998). [CrossRef]
  24. M. Servin, J. L. Marroguin, and F. J. Cucvas, "Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique," Appl. Opt. 36, 4540-4548 (1997). [CrossRef] [PubMed]
  25. 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). [CrossRef]
  26. K. Qian, S. H. Soon, and A. Asundi, "A simple phase unwrapping approach based on filtering by windowed Fourier transform," Opt. Laser Technol. 37, 458-462 (2005). [CrossRef]
  27. Q. Kemao and S. H. Soon, "A simple phase unwrapping approach based on filtering by windowed Fourier transform (II)," Key Eng. Mater. 326-328, 67-70 (2006). [CrossRef]
  28. Q. Kemao, "A simple phase unwrapping approach based on filtering by windowed Fourier transform: the phase near edges," Opt. Laser Technol. 39, 1364-1369 (2007). [CrossRef]

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