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Applied Optics

Applied Optics


  • Editor: Joseph N. Mait
  • Vol. 50, Iss. 10 — Apr. 1, 2011
  • pp: 1482–1487

Object-image-based method to construct an unweighted quality map for phase extraction and phase unwrapping

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

Applied Optics, Vol. 50, Issue 10, pp. 1482-1487 (2011)

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A method to construct an unweighted quality map for phase extraction and phase unwrapping is proposed, based on an object image pattern. The object image pattern must be recorded under the same conditions as that of the corresponding interference patterns, except that the lights coming from the reference arm of the interferometer are hidden. An unweighted quality map that can represent the valid and invalid regions in the interference patterns is completed successfully, based on two factors: the fact that the object region in the object image pattern is homologous with the valid region (i.e., the interference region) in the interference patterns, and on distinguishing between the object and background regions in the object image pattern using neighbor window threshold filtering and fitting the boundary of the object image. The application of the proposed method to the real measurement shows its feasibility and correctness. This paper might provide an alternative method for constructing an unweighted quality map for phase extraction and phase unwrapping.

© 2011 Optical Society of America

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

ToC Category:
Image Processing

Original Manuscript: October 27, 2010
Revised Manuscript: February 12, 2011
Manuscript Accepted: February 15, 2011
Published: March 31, 2011

Suping Fang, Leijie Wang, Pengcheng Yang, Lei Meng, and Masaharu Komori, "Object-image-based method to construct an unweighted quality map for phase extraction and phase unwrapping," Appl. Opt. 50, 1482-1487 (2011)

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  1. J. M. Huntley, “Automated analysis of speckle interferograms,” in Digital Speckle Pattern Interferometry and Related Techniques, P. K. Rastogi, ed. (Wiley, 2001), Chap. 2, pp. 59–139.
  2. J. C. Wyant, C. L. Koliopoilos, Bhishan, B. Bhushan, and O. E. George, “An optical profilometer for surface characterization of magnetic media,” ASLE Trans. 1984, 101–113(1984). [CrossRef]
  3. J. M. Huntley and H. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32, 3047–3052 (1993). [CrossRef] [PubMed]
  4. P. Hariharan, B. F. Oreb, and E. Eiju, “Digital phase-shifting interferometry: a simple error-compensating phase calculation algorithm,” Appl. Opt. 26, 2504–2506 (1987). [CrossRef] [PubMed]
  5. P. Carré, “Installation et utilisation du comparateur photoélectrique et interferential du Bureau International des Poids et Mesures,” Metrologia 2, 13–23 (1966). [CrossRef]
  6. D. C. Ghiglia and L. A. Romero, “Robust two-dimensional weighted and unweighted phase unwrapping that uses fast transforms and iterative methods,” J. Opt. Soc. Am. A 11, 107–117 (1994). [CrossRef]
  7. W. Xu and I. Cumming, “A region growing algorithm for InSAR phase unwrapping,” in Proceedings of the International Geoscience and Remote Sensing Symposium (IEEE, 1996), pp. 2044–2046.
  8. R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988). [CrossRef]
  9. Y. Zhu, Z. Luan, Q. Yang, W. Lu, and L. Liu, “Novel method to construct a quality map for phase unwrapping based on modulation and the phase gradient,” Opt. Eng. 45, 105601(2006). [CrossRef]
  10. E. Zappa and G. Busca, “Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry,” Opt. Lasers Eng. 46, 106–116 (2008). [CrossRef]
  11. D. C. Ghiglia and M. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998).
  12. H. A. Vrooman and A. A. M. Maas, “Image processing algorithms for the analysis of phase-shifted speckle interference patterns,” Appl. Opt. 30, 1636–1641 (1991). [CrossRef] [PubMed]
  13. X. Su, G. von Bally, and D. Vukicevic, “Phase-stepping grating profilometry: utilization of intensity modulation analysis in complex objects evaluation,” Opt. Commun. 98, 141–150(1993). [CrossRef]
  14. Y. Xu and C. Ai, “Simple and effective phase unwrapping technique,” Proc. SPIE 2003, 254–263 (1993). [CrossRef]
  15. X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245–261(2004). [CrossRef]
  16. O. A. Skydan, M. J. Lalor, and D. R. Burton, “Technique for phase measurement and surface reconstruction by use of colored structured light,” Appl. Opt. 41, 6104–6117 (2002). [CrossRef] [PubMed]
  17. X. Su and L. Xue, “Phase unwrapping algorithm based on fringe frequency analysis in Fourier-transform profilometry,” Opt. Eng. 40, 637–643 (2001). [CrossRef]
  18. C. G. Quan, C. J. Tay, L. J. Chen, and Y. Fu, “Spatial-fringe-modulation-based quality map for phase unwrapping,” Appl. Opt. 42, 7060–7065 (2003). [CrossRef] [PubMed]
  19. J. H. Bruning, D. R. Herriott, J. E. Gallagher, D. P. Rosenfeld, A. D. White, and D. J. Brangaccio, “Digital wavefront measuring interferometer for testing optical surfaces and lenses,” Appl. Opt. 13, 2693–2703 (1974). [CrossRef] [PubMed]
  20. C. J. Morgan, “Least-square estimation in phase measurement interferometry,” Opt. Lett. 7, 368–370 (1982). [CrossRef] [PubMed]
  21. S.-P. Fang, L.-J. Wang, M. Komori, and A. Kubo, “Design of laser interferometric system for measurement of gear tooth flank,” Optik (Jena) (to be published). [CrossRef]
  22. S. Fang, L. Wang, M. Komori, and A. Kubo, “Simulation method for interference fringe pattern in measuring gear tooth flank by laser interferometry,” Appl. Opt. 49, 6409–6415(2010). [CrossRef] [PubMed]
  23. S. Fang, L. Wang, P. Yang, L. Meng, M. Komori, and A. Kubo, “Improvement of the oblique-incidence optical interferometric system to measure tooth flanks of involute helical gears,” J. Opt. Soc. Am. A 28, 590–595 (2011). [CrossRef]
  24. S. Fang, L. Wang, L. Meng, M. Komori, and A. Kubo, “Comparison of three methods for identifying fringe regions of interference fringe patterns in measuring gear tooth flanks by laser interferometry,” submitted to Opt. Eng.

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