Abstract

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

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2011 (1)

2010 (1)

2008 (1)

E. Zappa and G. Busca, “Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry,” Opt. Lasers Eng. 46, 106–116 (2008).
[CrossRef]

2006 (1)

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]

2004 (1)

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245–261(2004).
[CrossRef]

2003 (1)

2002 (1)

2001 (1)

X. Su and L. Xue, “Phase unwrapping algorithm based on fringe frequency analysis in Fourier-transform profilometry,” Opt. Eng. 40, 637–643 (2001).
[CrossRef]

1994 (1)

1993 (3)

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]

Y. Xu and C. Ai, “Simple and effective phase unwrapping technique,” Proc. SPIE 2003, 254–263 (1993).
[CrossRef]

J. M. Huntley and H. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32, 3047–3052 (1993).
[CrossRef]

1991 (1)

1988 (1)

R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
[CrossRef]

1987 (1)

1984 (1)

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]

1982 (1)

1974 (1)

1966 (1)

P. Carré, “Installation et utilisation du comparateur photoélectrique et interferential du Bureau International des Poids et Mesures,” Metrologia 2, 13–23 (1966).
[CrossRef]

Ai, C.

Y. Xu and C. Ai, “Simple and effective phase unwrapping technique,” Proc. SPIE 2003, 254–263 (1993).
[CrossRef]

Bhishan,

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]

Bhushan, B.

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]

Brangaccio, D. J.

Bruning, J. H.

Burton, D. R.

Busca, G.

E. Zappa and G. Busca, “Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry,” Opt. Lasers Eng. 46, 106–116 (2008).
[CrossRef]

Carré, P.

P. Carré, “Installation et utilisation du comparateur photoélectrique et interferential du Bureau International des Poids et Mesures,” Metrologia 2, 13–23 (1966).
[CrossRef]

Chen, L. J.

Chen, W.

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245–261(2004).
[CrossRef]

Cumming, I.

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.

Eiju, E.

Fang, S.

Fang, S.-P.

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]

Fu, Y.

Gallagher, J. E.

George, O. E.

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]

Ghiglia, D. C.

Goldstein, R. M.

R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
[CrossRef]

Hariharan, P.

Herriott, D. R.

Huntley, J. M.

J. M. Huntley and H. Saldner, “Temporal phase-unwrapping algorithm for automated interferogram analysis,” Appl. Opt. 32, 3047–3052 (1993).
[CrossRef]

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.

Koliopoilos, C. L.

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]

Komori, M.

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]

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]

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]

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.

Kubo, A.

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]

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]

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]

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.

Lalor, M. J.

Liu, L.

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]

Lu, W.

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]

Luan, Z.

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]

Maas, A. A. M.

Meng, L.

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]

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.

Morgan, C. J.

Oreb, B. F.

Pritt, M.

D. C. Ghiglia and M. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998).

Quan, C. G.

Rastogi, P. K.

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.

Romero, L. A.

Rosenfeld, D. P.

Saldner, H.

Skydan, O. A.

Su, X.

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245–261(2004).
[CrossRef]

X. Su and L. Xue, “Phase unwrapping algorithm based on fringe frequency analysis in Fourier-transform profilometry,” Opt. Eng. 40, 637–643 (2001).
[CrossRef]

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]

Tay, C. J.

von Bally, G.

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]

Vrooman, H. A.

Vukicevic, D.

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]

Wang, L.

Wang, L.-J.

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]

Werner, C. L.

R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
[CrossRef]

White, A. D.

Wyant, J. C.

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]

Xu, W.

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.

Xu, Y.

Y. Xu and C. Ai, “Simple and effective phase unwrapping technique,” Proc. SPIE 2003, 254–263 (1993).
[CrossRef]

Xue, L.

X. Su and L. Xue, “Phase unwrapping algorithm based on fringe frequency analysis in Fourier-transform profilometry,” Opt. Eng. 40, 637–643 (2001).
[CrossRef]

Yang, P.

Yang, Q.

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]

Zappa, E.

E. Zappa and G. Busca, “Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry,” Opt. Lasers Eng. 46, 106–116 (2008).
[CrossRef]

Zebker, H. A.

R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
[CrossRef]

Zhu, Y.

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]

Appl. Opt. (7)

ASLE Trans. (1)

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]

J. Opt. Soc. Am. A (2)

Metrologia (1)

P. Carré, “Installation et utilisation du comparateur photoélectrique et interferential du Bureau International des Poids et Mesures,” Metrologia 2, 13–23 (1966).
[CrossRef]

Opt. Commun. (1)

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]

Opt. Eng. (2)

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]

X. Su and L. Xue, “Phase unwrapping algorithm based on fringe frequency analysis in Fourier-transform profilometry,” Opt. Eng. 40, 637–643 (2001).
[CrossRef]

Opt. Lasers Eng. (2)

E. Zappa and G. Busca, “Comparison of eight unwrapping algorithms applied to Fourier-transform profilometry,” Opt. Lasers Eng. 46, 106–116 (2008).
[CrossRef]

X. Su and W. Chen, “Reliability-guided phase unwrapping algorithm: a review,” Opt. Lasers Eng. 42, 245–261(2004).
[CrossRef]

Opt. Lett. (1)

Optik (Jena) (1)

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]

Proc. SPIE (1)

Y. Xu and C. Ai, “Simple and effective phase unwrapping technique,” Proc. SPIE 2003, 254–263 (1993).
[CrossRef]

Radio Sci. (1)

R. M. Goldstein, H. A. Zebker, and C. L. Werner, “Satellite radar interferometry: two-dimensional phase unwrapping,” Radio Sci. 23, 713–720 (1988).
[CrossRef]

Other (4)

D. C. Ghiglia and M. Pritt, Two-Dimensional Phase Unwrapping: Theory, Algorithms, and Software (Wiley, 1998).

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.

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.

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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