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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 28 — Oct. 1, 2011
  • pp: 5446–5452

Quality-guided phase unwrapping algorithm based on reliability evaluation

Suping Fang, Lei Meng, Leijie Wang, Pengcheng Yang, and Masaharu Komori  »View Author Affiliations

Applied Optics, Vol. 50, Issue 28, pp. 5446-5452 (2011)

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For optical interferometry, a new quality-guided phase unwrapping algorithm based on the reliability evaluation of each pixel of the wrapped phase is proposed. First, the parameters used as quality measures in the past quality-guided algorithms are classified into the reliability measure and the quality measure, and the intensity of the object image belongs to the reliability measure. Then, by computing and applying a threshold to the intensity of the object image, the valid region (i.e., the interference region) is distinguished into the reliable region and the doubtful region. The wrapped phase in the reliable region is subsequently unwrapped by the way of multipaths integration, and different paths are guided by separate quality measures. Finally, starting from the reliable region, the doubtful region is unwrapped by the way that each path takes in the reliable region. Experimental results have shown that the proposed algorithm not only performs well, but also computes efficiently.

© 2011 Optical Society of America

OCIS Codes
(100.5070) Image processing : Phase retrieval
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(100.5088) Image processing : Phase unwrapping

ToC Category:
Image Processing

Original Manuscript: April 29, 2011
Revised Manuscript: July 26, 2011
Manuscript Accepted: August 16, 2011
Published: September 26, 2011

Suping Fang, Lei Meng, Leijie Wang, Pengcheng Yang, and Masaharu Komori, "Quality-guided phase unwrapping algorithm based on reliability evaluation," Appl. Opt. 50, 5446-5452 (2011)

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  1. C. R. Mercer and G. Beheim, “Fiber-optic projected-fringe digital interferometry,” presented at the 1990 Fall Conference on Hologram Interferometry and Speckle Metrology, Baltimore, MD, 5–8 Nov. 1990.
  2. D. C. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithm, and Software (Wiley, 1998).
  3. R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988). [CrossRef]
  4. R. Cusack, J. M. Huntley, and H. T. Goldrein, “Improved noise-immune phase-unwrapping algorithm,” Appl. Opt. 34, 781–789 (1995). [CrossRef] [PubMed]
  5. T. J. Flynn, “Consistent 2-D phase unwrapping guided by a quality map,” in Proceedings of IEEE Conference on Geoscience and Remote Sensing Symposium (IEEE, 1996), pp. 2057–2059.
  6. T. J. Flynn, “Two-dimensional phase unwrapping with minimum weighted discontinuity,” J. Opt. Soc. Am. A 14, 2692–2701 (1997). [CrossRef]
  7. X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245–261 (2004). [CrossRef]
  8. A. Asundi and Z. Wensen, “Fast phase-unwrapping algorithm based on a gray-scale mask and flood fill,” Appl. Opt. 37, 5416–5420 (1998). [CrossRef]
  9. D. J. Bone, “Fourier fringe analysis: the two-dimensional phase unwrapping problem,” Appl. Opt. 30, 3627–3632 (1991). [CrossRef] [PubMed]
  10. J. A. Quiroga, A. González-Cano, and E. Bernabeu, “Phase-unwrapping algorithm based on an adaptive criterion,” Appl. Opt. 34, 2560–2563 (1995). [CrossRef] [PubMed]
  11. Y. Lu, X. Wang, X. Zhong, G. He, Y. Liu, and D. Zheng, “A new quality map for quality-guided phase unwrapping,” Chin. Opt. Lett. 2, 698–700 (2004).
  12. Y. Zhu, L. Zhu, Q. Yang, D. Li, W. Lu, and L. Liu, “Improved reliability-guided phase unwrapping algorithm based on the fringe modulation and second-order phase difference,” Optik 118, 175–180 (2007). [CrossRef]
  13. H. Zhong, J. Tang, S. Zhang, and M. Chen, “An improved quality-guided phase-unwrapping algorithm based on priority queue,” IEEE Geosci. Remote Sens. Lett. 8, 364–368 (2011). [CrossRef]
  14. M. A. Herráez, D. R. Burton, M. J. Lalor, and M. A. Gdeisat, “Fast two-dimensional phase-unwrapping algorithm based on sorting by reliability following a noncontinuous path,” Appl. Opt. 41, 7437–7444 (2002). [CrossRef] [PubMed]
  15. J. Strand and T. Taxt, “Performance evaluation of two-dimensional phase unwrapping algorithms,” Appl. Opt. 38, 4333–4344 (1999). [CrossRef]
  16. S. Fang, L. Wang, P. Yang, L. Meng, and M. Komori, “Object-image-based method to construct an unweighted quality map for phase extraction and phase unwrapping,” Appl. Opt. 50, 1482–1487 (2011). [CrossRef] [PubMed]
  17. J. C. Wyant, “Phase-shifting interferometry,” http://www.optics.arizona.edu/jcwyant/optics513/ChapterNotes/Chapter05/3.PrintedVersionPhaseShiftingInterferometry.pdf.
  18. C. J. Morgan, “Least-square estimation in phase measurement interferometry,” Opt. Lett. 7, 368–370 (1982). [CrossRef] [PubMed]
  19. S. Fang, L. Wang, M. Komori, and A. Kubo, “Simulation method for interference fringe patterns in measuring gear tooth flanks by laser interferometry,” Appl. Opt. 49, 6409–6415(2010). [CrossRef] [PubMed]
  20. W. Xu and I. Cumming, “A region-growing algorithm for InSAR phase unwrapping,” IEEE Trans. Geosci. Remote Sens. 37, 124–134 (1999). [CrossRef]
  21. S. Fang, L. Wang, M. Komori, and A. Kubo, “Design of laser interferometric system for measurement of gear tooth flank,” Optik 122, 1301–1304 (2011). [CrossRef]

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