Abstract

Fringe patterns produced by various optical interferometric techniques encode information such as shape, deformation, and refractive index. Denoising and demodulation are two important procedures to retrieve information from a single closed fringe pattern. Various existing denoising and demodulation techniques require fringe direction/orientation during the processing. Fringe orientation is often easier to obtain but fringe direction is needed in some demodulation techniques. A quality-guided orientation unwrapping scheme is proposed to estimate direction from orientation. Two techniques, one based on windowed Fourier ridges and the other based on fringe gradient, are proposed for the quality-guided orientation unwrapping scheme. The direction qualities are compared for both simulated and experimental fringe patterns. Their application to demodulation technique is also given.

© 2012 Optical Society of America

PDF Article

References

  • View by:
  • |
  • |
  • |

  1. D. W. Robinson and G. T. Reid, eds., in Interferogram Analysis: Digital Fringe Pattern Measurement Techniques (Institute of Physics, 1993).
  2. Q. Yu, X. Sun, X. Liu, and Z. Qiu, “Spin filtering with curve windows for interferometric fringe patterns,” Appl. Opt. 41, 2650–2654 (2002).
    [CrossRef]
  3. C. Tang, L. Han, H. Ren, D. Zhou, Y. Chang, X. Wang, and X. Cui, “Second-order oriented partial-differential equations for denoising in electronic-speckle-pattern interferometry fringes,” Opt. Lett. 33, 2179–2181 (2008).
    [CrossRef]
  4. H. Wang, Q. Kemao, W. Gao, S. H. Soon, and F. Lin, “Fringe pattern denoising using coherence enhancing diffusion,” Opt. Lett. 34, 1141–1143 (2009).
    [CrossRef]
  5. J. Villa, J. A. Quiroga, and I. Rosa, “Regularized quadratic cost function for oriented fringe-pattern filtering,” Opt. Lett. 34, 1741–1743 (2009).
    [CrossRef]
  6. J. L. Marroquin, R. Rodriquez-Vera, and M. Servin, “Local phase from local orientation by solution of a sequence of linear system,” J. Opt. Soc. Am. A 15, 1536–1544 (1998).
    [CrossRef]
  7. K. G. Larkin, D. J. Bone, and M. A. Oldfield, “Natural demodulation of two-dimensional fringe patterns: I. general background of the spiral phase quadrature transform,” J. Opt. Soc. Am. A 18, 1862–1870 (2001).
    [CrossRef]
  8. M. Servin, J. A. Quiroga, and J. L. Marroquin, “General n-dimensional quadrature transform and its application to interferogram demodulation,” J. Opt. Soc. Am. A 20, 925–934 (2003).
    [CrossRef]
  9. J. A. Quiroga, D. Crespo, J. A. G. Pedrero, and J. C. Martinez-Antón, “Recent advances in automatic demodulation of single fringe patterns,” FRINGE 2005 1, 90–97 (2006).
  10. A. M. Siddiolo and L. D’ Acquisto, “A direction/orientation-based method for shape measurement by shadow Moire,” IEEE Trans. Instrum. Meas. 57, 843–849 (2008).
    [CrossRef]
  11. X. Zhou, J. P. Baird, and J. F. Amold, “Fringe-orientation estimation by use of a Gaussian gradient filter and neighboring-direction averaging,” Appl. Opt. 38, 795–804 (1999).
    [CrossRef]
  12. B. Jahne, Practical Handbook on Image Processing for Scientific Applications (CRC, 1997).
  13. X. Yang, Q. Yu, and S. Fu, “A combined technique for obtaining fringe orientations of ESPI,” Opt. Commun. 273, 60–66 (2007).
    [CrossRef]
  14. K. G. Larkin, “Uniform estimation of orientation using local and nonlocal 2D energy operators,” Opt. Express 13, 8097–8121 (2005).
    [CrossRef]
  15. X. Yang, Q. Yu, and S. Fu, “An algorithm for estimating both fringe orientation and fringe density,” Opt. Commun. 274, 286–292 (2007).
    [CrossRef]
  16. C. Tang, Z. Wang, L. Wang, J. Wu, T. Gao, and S. Yan, “Estimation of fringe orientation for optical fringe patterns with poor quality based on Fourier transform,” Appl. Opt. 49, 554–561 (2010).
    [CrossRef]
  17. J. A. Quiroga, M. Servin, and F. Cuevas, “Modulo 2π fringe orientation angle estimation by phase unwrapping with a regularized phase tracking algorithm,” J. Opt. Soc. Am. A 19, 1524–1531 (2002).
    [CrossRef]
  18. 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]
  19. H. Wang and Q. Kemao, “Frequency guided methods for demodulation of a single fringe pattern,” Opt. Express 17, 15118–15127 (2009).
    [CrossRef]
  20. D. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping (Wiley, 1998).
  21. Q. Kemao, “Windowed Fourier transform for fringe pattern analysis,” Appl. Opt. 43, 2695–2702 (2004).
    [CrossRef]
  22. Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations,” Opt. Lasers Eng. 45, 304–317(2007).
    [CrossRef]
  23. Q. Kemao and S. H. Soon, “Sequential demodulation of a single fringe pattern guided by local frequencies,” Opt. Lett. 32, 127–129 (2007).
    [CrossRef]
  24. E. Davies, Machine Vision: Theory, Algorithms and Practicalities (Academic, 1990).
  25. T. Lindeberg, Scale_Space Theory in Computer Vision (Kluwer, 1994).
  26. J. Weickert, “Coherence-enhancing diffusion filtering,” Int. J. Comput. Vis. 31, 111–127 (1999).
    [CrossRef]
  27. O. S. Dalmau-Cedeño, M. Rivera, and R. Legarda-Saenz, “Fast phase recovery from a single close-fringe pattern,” J. Opt. Soc. Am. A 25, 1361–1370 (2008).
    [CrossRef]
  28. W. Gao, N. T. H. Huyen, H. S. Loi, and Q. Kemao, “Real-time 2D parallel windowed Fourier transform for fringe pattern analysis using Graphics Processing Unit,” Opt. Express 17, 23147–23152 (2009).
    [CrossRef]
  29. W. Qu, O. C. Chee, Y. Yu, and A. Asundi, “Characterization and inspection of microlens array by single cube beam splitter microscopy,” Appl. Opt. 50, 886–890(2011).
    [CrossRef]

2011

2010

2009

2008

2007

X. Yang, Q. Yu, and S. Fu, “A combined technique for obtaining fringe orientations of ESPI,” Opt. Commun. 273, 60–66 (2007).
[CrossRef]

X. Yang, Q. Yu, and S. Fu, “An algorithm for estimating both fringe orientation and fringe density,” Opt. Commun. 274, 286–292 (2007).
[CrossRef]

Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations,” Opt. Lasers Eng. 45, 304–317(2007).
[CrossRef]

Q. Kemao and S. H. Soon, “Sequential demodulation of a single fringe pattern guided by local frequencies,” Opt. Lett. 32, 127–129 (2007).
[CrossRef]

2006

J. A. Quiroga, D. Crespo, J. A. G. Pedrero, and J. C. Martinez-Antón, “Recent advances in automatic demodulation of single fringe patterns,” FRINGE 2005 1, 90–97 (2006).

2005

2004

2003

2002

2001

1999

1998

Amold, J. F.

Asundi, A.

Baird, J. P.

Bone, D. J.

Chang, Y.

Chee, O. C.

Crespo, D.

J. A. Quiroga, D. Crespo, J. A. G. Pedrero, and J. C. Martinez-Antón, “Recent advances in automatic demodulation of single fringe patterns,” FRINGE 2005 1, 90–97 (2006).

Cuevas, F.

Cuevas, F. J.

Cui, X.

D’ Acquisto, L.

A. M. Siddiolo and L. D’ Acquisto, “A direction/orientation-based method for shape measurement by shadow Moire,” IEEE Trans. Instrum. Meas. 57, 843–849 (2008).
[CrossRef]

Dalmau-Cedeño, O. S.

Davies, E.

E. Davies, Machine Vision: Theory, Algorithms and Practicalities (Academic, 1990).

Fu, S.

X. Yang, Q. Yu, and S. Fu, “A combined technique for obtaining fringe orientations of ESPI,” Opt. Commun. 273, 60–66 (2007).
[CrossRef]

X. Yang, Q. Yu, and S. Fu, “An algorithm for estimating both fringe orientation and fringe density,” Opt. Commun. 274, 286–292 (2007).
[CrossRef]

Gao, T.

Gao, W.

Ghiglia, D.

D. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping (Wiley, 1998).

Han, L.

Huyen, N. T. H.

Jahne, B.

B. Jahne, Practical Handbook on Image Processing for Scientific Applications (CRC, 1997).

Kemao, Q.

Larkin, K. G.

Legarda-Saenz, R.

Lin, F.

Lindeberg, T.

T. Lindeberg, Scale_Space Theory in Computer Vision (Kluwer, 1994).

Liu, X.

Loi, H. S.

Marroquin, J. L.

Martinez-Antón, J. C.

J. A. Quiroga, D. Crespo, J. A. G. Pedrero, and J. C. Martinez-Antón, “Recent advances in automatic demodulation of single fringe patterns,” FRINGE 2005 1, 90–97 (2006).

Oldfield, M. A.

Pedrero, J. A. G.

J. A. Quiroga, D. Crespo, J. A. G. Pedrero, and J. C. Martinez-Antón, “Recent advances in automatic demodulation of single fringe patterns,” FRINGE 2005 1, 90–97 (2006).

Pritt, M. D.

D. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping (Wiley, 1998).

Qiu, Z.

Qu, W.

Quiroga, J. A.

Ren, H.

Rivera, M.

Rodriquez-Vera, R.

Rosa, I.

Servin, M.

Siddiolo, A. M.

A. M. Siddiolo and L. D’ Acquisto, “A direction/orientation-based method for shape measurement by shadow Moire,” IEEE Trans. Instrum. Meas. 57, 843–849 (2008).
[CrossRef]

Soon, S. H.

Sun, X.

Tang, C.

Villa, J.

Wang, H.

Wang, L.

Wang, X.

Wang, Z.

Weickert, J.

J. Weickert, “Coherence-enhancing diffusion filtering,” Int. J. Comput. Vis. 31, 111–127 (1999).
[CrossRef]

Wu, J.

Yan, S.

Yang, X.

X. Yang, Q. Yu, and S. Fu, “A combined technique for obtaining fringe orientations of ESPI,” Opt. Commun. 273, 60–66 (2007).
[CrossRef]

X. Yang, Q. Yu, and S. Fu, “An algorithm for estimating both fringe orientation and fringe density,” Opt. Commun. 274, 286–292 (2007).
[CrossRef]

Yu, Q.

X. Yang, Q. Yu, and S. Fu, “An algorithm for estimating both fringe orientation and fringe density,” Opt. Commun. 274, 286–292 (2007).
[CrossRef]

X. Yang, Q. Yu, and S. Fu, “A combined technique for obtaining fringe orientations of ESPI,” Opt. Commun. 273, 60–66 (2007).
[CrossRef]

Q. Yu, X. Sun, X. Liu, and Z. Qiu, “Spin filtering with curve windows for interferometric fringe patterns,” Appl. Opt. 41, 2650–2654 (2002).
[CrossRef]

Yu, Y.

Zhou, D.

Zhou, X.

Appl. Opt.

FRINGE 2005

J. A. Quiroga, D. Crespo, J. A. G. Pedrero, and J. C. Martinez-Antón, “Recent advances in automatic demodulation of single fringe patterns,” FRINGE 2005 1, 90–97 (2006).

IEEE Trans. Instrum. Meas.

A. M. Siddiolo and L. D’ Acquisto, “A direction/orientation-based method for shape measurement by shadow Moire,” IEEE Trans. Instrum. Meas. 57, 843–849 (2008).
[CrossRef]

Int. J. Comput. Vis.

J. Weickert, “Coherence-enhancing diffusion filtering,” Int. J. Comput. Vis. 31, 111–127 (1999).
[CrossRef]

J. Opt. Soc. Am. A

Opt. Commun.

X. Yang, Q. Yu, and S. Fu, “A combined technique for obtaining fringe orientations of ESPI,” Opt. Commun. 273, 60–66 (2007).
[CrossRef]

X. Yang, Q. Yu, and S. Fu, “An algorithm for estimating both fringe orientation and fringe density,” Opt. Commun. 274, 286–292 (2007).
[CrossRef]

Opt. Express

Opt. Lasers Eng.

Q. Kemao, “Two-dimensional windowed Fourier transform for fringe pattern analysis: Principles, applications and implementations,” Opt. Lasers Eng. 45, 304–317(2007).
[CrossRef]

Opt. Lett.

Other

D. Ghiglia and M. D. Pritt, Two-Dimensional Phase Unwrapping (Wiley, 1998).

B. Jahne, Practical Handbook on Image Processing for Scientific Applications (CRC, 1997).

E. Davies, Machine Vision: Theory, Algorithms and Practicalities (Academic, 1990).

T. Lindeberg, Scale_Space Theory in Computer Vision (Kluwer, 1994).

D. W. Robinson and G. T. Reid, eds., in Interferogram Analysis: Digital Fringe Pattern Measurement Techniques (Institute of Physics, 1993).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Metrics