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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Editor: James C. Wyant
  • Vol. 45, Iss. 28 — Oct. 1, 2006
  • pp: 7392–7400

Performance evaluation of partial differential equation models in electronic speckle pattern interferometry and the δ-mollification phase map method

Chen Tang, Fang Zhang, Botao Li, and Haiqing Yan  »View Author Affiliations


Applied Optics, Vol. 45, Issue 28, pp. 7392-7400 (2006)
http://dx.doi.org/10.1364/AO.45.007392


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Abstract

The ordinary differential equation (ODE) and partial differential equation (PDE) image- processing methods have been applied to reduce noise and enhance the contrast of electronic speckle pattern interferometry fringe patterns. We evaluate the performance of a few representative PDE denoising models quantitatively with two parameters called image fidelity and speckle index, and then we choose a good denoising model. Combining this denoising model with the ODE enhancement method, we make it possible to perform contrast enhancement and denoising simultaneously. Second, we introduce the δ-mollification method to smooth the unwrapped phase map. Finally, based on PDE image processing, δ mollification and some traditional techniques, an approach of phase extraction from a single fringe pattern is tested for computer-simulated and experimentally obtained fringe patterns. The method works well under a high noise level and limited visibility and can extract accurate phase values.

© 2006 Optical Society of America

OCIS Codes
(070.6110) Fourier optics and signal processing : Spatial filtering
(100.5010) Image processing : Pattern recognition
(120.6160) Instrumentation, measurement, and metrology : Speckle interferometry

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: January 3, 2006
Revised Manuscript: April 20, 2006
Manuscript Accepted: April 21, 2006

Citation
Chen Tang, Fang Zhang, Botao Li, and Haiqing Yan, "Performance evaluation of partial differential equation models in electronic speckle pattern interferometry and the δ-mollification phase map method," Appl. Opt. 45, 7392-7400 (2006)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-45-28-7392


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References

  1. S.-H. Baik, S.-K. Park, C.-J. Kim, and S.-Y. Kim, "Two-channel spatial phase shifting electronic speckle pattern interferometer," Opt. Commun. 192, 205-211 (2001). [CrossRef]
  2. C. Quan, C. J. Tay, F. Yang, and X. He, "Phase extraction from a single fringe pattern based on guidance of an extreme map," Appl. Opt. 44, 4814-4821 (2005). [CrossRef] [PubMed]
  3. X. Su and W. Chen, "Fourier transform profilometry: a review," Opt. Lasers Eng. 35, 263-284 (2001). [CrossRef]
  4. K. H. Womack, "Interferometric phase measurement using spatial synchronous detection," Opt. Eng. 23, 391-395 (1984).
  5. 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]
  6. M. Servin, D. Malacara, and R. Rodriguez-Vera, "Phase-locked loop interferometry applied to aspheric testing with a computer-stored compensator," Appl. Opt. 33, 2589-2595 (1994). [CrossRef] [PubMed]
  7. B. V. Dorrío and J. L. Fernández, "Phase-evaluation methods in whole-field optical measurement techniques," Meas. Sci. Technol. 10, R33-R55 (1999). [CrossRef]
  8. A. P. Witkin, "Scale-space filtering," in Proceedings of International Joint Conference on Artificial Intelligence (Karlsruhe, 1983), pp. 1019-1021.
  9. P. Perona and J. Malik, "Scale-space and edge detection using anisotropic diffusion," IEEE Trans. Pattern Anal. Mach. Intell. 12, 629-639 (1990). [CrossRef]
  10. F. Catté, P.-L. Lions, J.-M. Morel, and T. Coll, "Image selective smoothing and edge detection by nonlinear diffusion," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 29, 182-193 (1992).
  11. L. Alvarez, P.-L. Lions, and J.-M. Morel, "Image selective smoothing and edge detection by nonlinear diffusion," SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. 29, 845-866 (1992).
  12. G. Sapiro, "Geometric partial differential equations in image analysis: past, present, and future," in Proceedings of IEEE Second International Conference on Image Processing 3 (IEEE, 1995), pp. 1-4. [CrossRef]
  13. G. Sapiro and V. Caselles, "Contrast enhancement via image evolution flows," Graph. Models Image Process. 59, 407-416 (1997). [CrossRef]
  14. C. Tang, F. Zhang, H. Yan, and Z. Chen, "Denoising in electronic speckle pattern interferometry fringes by the filtering method based on partial differential equations," Opt. Commun. 260, 91-96 (2006). [CrossRef]
  15. C. Tang, F. Zhang, and Z. Chen, "Contrast enhancement for electronic speckle pattern interferometry fringes by the differential equation enhancement method," Appl. Opt. 45, 2287-2294 (2006). [CrossRef] [PubMed]
  16. A. Savitzky and M. J. E. Golay, "Smoothing and differentiation of data by simplified least squares procedures," Anal. Chem. 36, 1627-1639 (1964). [CrossRef]
  17. A. Dávila, G. H. Kaufmann, and D. Kerr, "Scale-space filter for smoothing electronic speckle pattern interferometry fringes," Opt. Eng. 35, 3549-3554 (1996). [CrossRef]
  18. N. A. Ochoa, F. M. Santoyo, A. J. Moore, and C. P. López, "Contrast enhancement of electronic speckle pattern interferometry addition fringes," Appl. Opt. 36, 2783-2787 (1997). [CrossRef] [PubMed]
  19. C. E. Mejía and D. A. Murio, "Numerical solution of generalized IHCP by discrete mollification," Comput. Math. Appl. 32, 33-50 (1996).

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