Abstract

A method for automatic phase extraction from a single fringe pattern based on the guidance of an extreme map is introduced. The method uses an adaptive weighted filter to reduce noise and enhance contrast and to locate the fringe extremes. Wrapped phase values are calculated by use of an arccosine function obtained from the extreme map. With this method, wrapped phase values can be efficiently demodulated from a single fringe pattern without the need for assigning fringe order or interpolating fractional fringe order. The validity of the method is demonstrated by use of closed-fringe patterns generated by digital speckle interferometry.

© 2005 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
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2002 (1)

F. J. Cuevas, J. H. Sossa-Azuela, M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on genetic algorithm,” Opt. Commun. 203, 213–223 (2002).
[CrossRef]

2001 (2)

2000 (2)

R. S. Lin, Y. C. Hsueh, “Multichannel filtering by gradient information,” Signal Process. 80, 279–293 (2000).
[CrossRef]

F. J. Cuevas, M. Servin, O. N. Stavroudis, R. Rodriguez-Vera, “Multi-layer neural network applied to phase and depth recovery from fringe patterns,” Opt. Commun. 181, 239–259 (2000).
[CrossRef]

1999 (1)

1998 (4)

E. Yu, S. S. Cha, “Two-dimensional regression for interferometric phase extraction,” Appl. Opt. 37, 1370–1376 (1998).
[CrossRef]

J. L. Marroquin, R. Rodriguez-Vera, M. Servin, “Local phase from local orientation by solution of a sequence of linear systems,” J. Opt. Soc. Am. A 15, 1536–1544 (1998).
[CrossRef]

S. Guillon, P. Balou, M. Najim, N. Keskes, “Adaptive nonlinear filters for 2D and 3D image enhancement,” Signal Process. 67, 237–254 (1998).
[CrossRef]

M. Spann, A. Nieminen, “Adaptive Guassian weighted filtering for image segmentation,” Pattern Recogn. Lett. 8, 251–255 (1998).
[CrossRef]

1997 (1)

1995 (1)

1993 (2)

J. L. Marroquin, “Deterministic interactive particle models for image processing and computer graphics,” Comput. Vis. Graph. Image Process. 55, 408–417 (1993).

M. Servin, R. Rodriguez-Vera, “Two dimensional phase locked loop demodulation of carrier frequency interferograms,” J. Mod. Opt. 40, 2087–2094 (1993).
[CrossRef]

1986 (2)

1982 (1)

Balou, P.

S. Guillon, P. Balou, M. Najim, N. Keskes, “Adaptive nonlinear filters for 2D and 3D image enhancement,” Signal Process. 67, 237–254 (1998).
[CrossRef]

Botello, S.

Cha, S. S.

Cuevas, F. J.

F. J. Cuevas, J. H. Sossa-Azuela, M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on genetic algorithm,” Opt. Commun. 203, 213–223 (2002).
[CrossRef]

M. Servin, J. L. Marroquin, F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689–695 (2001).
[CrossRef]

F. J. Cuevas, M. Servin, O. N. Stavroudis, R. Rodriguez-Vera, “Multi-layer neural network applied to phase and depth recovery from fringe patterns,” Opt. Commun. 181, 239–259 (2000).
[CrossRef]

M. Servin, J. L. Marroquin, F. J. Cuevas, “Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique,” Appl. Opt. 36, 4540–4548 (1997).
[CrossRef] [PubMed]

Ge, Z.

Guillon, S.

S. Guillon, P. Balou, M. Najim, N. Keskes, “Adaptive nonlinear filters for 2D and 3D image enhancement,” Signal Process. 67, 237–254 (1998).
[CrossRef]

Hsueh, Y. C.

R. S. Lin, Y. C. Hsueh, “Multichannel filtering by gradient information,” Signal Process. 80, 279–293 (2000).
[CrossRef]

Ina, H.

Joo, W.

Keskes, N.

S. Guillon, P. Balou, M. Najim, N. Keskes, “Adaptive nonlinear filters for 2D and 3D image enhancement,” Signal Process. 67, 237–254 (1998).
[CrossRef]

Kobayashi, F.

Kobayashi, S.

Kokal, J. V.

Kreis, T.

Lin, R. S.

R. S. Lin, Y. C. Hsueh, “Multichannel filtering by gradient information,” Signal Process. 80, 279–293 (2000).
[CrossRef]

Malacara, D.

D. Malacara, M. Serven, Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, 1998).

Malacara, Z.

D. Malacara, M. Serven, Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, 1998).

Marroquin, J. L.

Mass, A.

H. A. Vrooman, A. Mass, “Interferogram analysis using image processing techniques,” in Interferometry ’89,Z. Jaroszewicz, M. Pluta, eds., Proc. SPIE1121, 655–659 (1989).

Matsuda, S.

Najim, M.

S. Guillon, P. Balou, M. Najim, N. Keskes, “Adaptive nonlinear filters for 2D and 3D image enhancement,” Signal Process. 67, 237–254 (1998).
[CrossRef]

Nieminen, A.

M. Spann, A. Nieminen, “Adaptive Guassian weighted filtering for image segmentation,” Pattern Recogn. Lett. 8, 251–255 (1998).
[CrossRef]

Ransom, P. L.

Reid, G. T.

G. T. Reid, “Image processing techniques for fringe pattern analysis,” in Advanced Processing of Semiconductor Devices II,H. G. Craighead, J. Narayan, eds., Proc. SPIE945, 468–477 (1988).

Rivera, M.

Rodriguez-Vera, R.

F. J. Cuevas, M. Servin, O. N. Stavroudis, R. Rodriguez-Vera, “Multi-layer neural network applied to phase and depth recovery from fringe patterns,” Opt. Commun. 181, 239–259 (2000).
[CrossRef]

J. L. Marroquin, M. Rivera, S. Botello, R. Rodriguez-Vera, M. Servin, “Regularization methods for processing fringe-pattern images,” Appl. Opt. 38, 788–794 (1999).
[CrossRef]

J. L. Marroquin, R. Rodriguez-Vera, M. Servin, “Local phase from local orientation by solution of a sequence of linear systems,” J. Opt. Soc. Am. A 15, 1536–1544 (1998).
[CrossRef]

M. Servin, R. Rodriguez-Vera, “Two dimensional phase locked loop demodulation of carrier frequency interferograms,” J. Mod. Opt. 40, 2087–2094 (1993).
[CrossRef]

Serven, M.

D. Malacara, M. Serven, Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, 1998).

Servin, M.

F. J. Cuevas, J. H. Sossa-Azuela, M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on genetic algorithm,” Opt. Commun. 203, 213–223 (2002).
[CrossRef]

M. Servin, J. L. Marroquin, F. J. Cuevas, “Fringe-follower regularized phase tracker for demodulation of closed-fringe interferograms,” J. Opt. Soc. Am. A 18, 689–695 (2001).
[CrossRef]

F. J. Cuevas, M. Servin, O. N. Stavroudis, R. Rodriguez-Vera, “Multi-layer neural network applied to phase and depth recovery from fringe patterns,” Opt. Commun. 181, 239–259 (2000).
[CrossRef]

J. L. Marroquin, M. Rivera, S. Botello, R. Rodriguez-Vera, M. Servin, “Regularization methods for processing fringe-pattern images,” Appl. Opt. 38, 788–794 (1999).
[CrossRef]

J. L. Marroquin, R. Rodriguez-Vera, M. Servin, “Local phase from local orientation by solution of a sequence of linear systems,” J. Opt. Soc. Am. A 15, 1536–1544 (1998).
[CrossRef]

M. Servin, J. L. Marroquin, F. J. Cuevas, “Demodulation of a single interferogram by use of a two-dimensional regularized phase-tracking technique,” Appl. Opt. 36, 4540–4548 (1997).
[CrossRef] [PubMed]

M. Servin, R. Rodriguez-Vera, “Two dimensional phase locked loop demodulation of carrier frequency interferograms,” J. Mod. Opt. 40, 2087–2094 (1993).
[CrossRef]

Sossa-Azuela, J. H.

F. J. Cuevas, J. H. Sossa-Azuela, M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on genetic algorithm,” Opt. Commun. 203, 213–223 (2002).
[CrossRef]

Spann, M.

M. Spann, A. Nieminen, “Adaptive Guassian weighted filtering for image segmentation,” Pattern Recogn. Lett. 8, 251–255 (1998).
[CrossRef]

Stavroudis, O. N.

F. J. Cuevas, M. Servin, O. N. Stavroudis, R. Rodriguez-Vera, “Multi-layer neural network applied to phase and depth recovery from fringe patterns,” Opt. Commun. 181, 239–259 (2000).
[CrossRef]

Takeda, M.

Taketa, M.

Vrooman, H. A.

H. A. Vrooman, A. Mass, “Interferogram analysis using image processing techniques,” in Interferometry ’89,Z. Jaroszewicz, M. Pluta, eds., Proc. SPIE1121, 655–659 (1989).

Yatagai, T.

T. Yatagai, “Intensity based analysis methods,” in Interferogram Analysis, Digital Fringe Pattern Measurement Techniques,D. W. Robinson, G. T. Reid, eds. (Institute of Physics Publishing, 1993), p. 72.

Yu, E.

Appl. Opt. (6)

Comput. Vis. Graph. Image Process. (1)

J. L. Marroquin, “Deterministic interactive particle models for image processing and computer graphics,” Comput. Vis. Graph. Image Process. 55, 408–417 (1993).

J. Mod. Opt. (1)

M. Servin, R. Rodriguez-Vera, “Two dimensional phase locked loop demodulation of carrier frequency interferograms,” J. Mod. Opt. 40, 2087–2094 (1993).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (3)

Opt. Commun. (2)

F. J. Cuevas, M. Servin, O. N. Stavroudis, R. Rodriguez-Vera, “Multi-layer neural network applied to phase and depth recovery from fringe patterns,” Opt. Commun. 181, 239–259 (2000).
[CrossRef]

F. J. Cuevas, J. H. Sossa-Azuela, M. Servin, “A parametric method applied to phase recovery from a fringe pattern based on genetic algorithm,” Opt. Commun. 203, 213–223 (2002).
[CrossRef]

Pattern Recogn. Lett. (1)

M. Spann, A. Nieminen, “Adaptive Guassian weighted filtering for image segmentation,” Pattern Recogn. Lett. 8, 251–255 (1998).
[CrossRef]

Signal Process. (2)

R. S. Lin, Y. C. Hsueh, “Multichannel filtering by gradient information,” Signal Process. 80, 279–293 (2000).
[CrossRef]

S. Guillon, P. Balou, M. Najim, N. Keskes, “Adaptive nonlinear filters for 2D and 3D image enhancement,” Signal Process. 67, 237–254 (1998).
[CrossRef]

Other (4)

G. T. Reid, “Image processing techniques for fringe pattern analysis,” in Advanced Processing of Semiconductor Devices II,H. G. Craighead, J. Narayan, eds., Proc. SPIE945, 468–477 (1988).

H. A. Vrooman, A. Mass, “Interferogram analysis using image processing techniques,” in Interferometry ’89,Z. Jaroszewicz, M. Pluta, eds., Proc. SPIE1121, 655–659 (1989).

T. Yatagai, “Intensity based analysis methods,” in Interferogram Analysis, Digital Fringe Pattern Measurement Techniques,D. W. Robinson, G. T. Reid, eds. (Institute of Physics Publishing, 1993), p. 72.

D. Malacara, M. Serven, Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, 1998).

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