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Optics Letters

Optics Letters


  • Vol. 23, Iss. 4 — Feb. 15, 1998
  • pp: 238–240

Adaptive quadrature filters for multiple phase-stepping images

J. L. Marroquin, M. Servin, and R. Rodriguez Vera  »View Author Affiliations

Optics Letters, Vol. 23, Issue 4, pp. 238-240 (1998)

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We present a new technique for the recovery of local phase from multiple phase-stepping fringe images that uses adaptive quadrature filters constructed by use of Bayesian estimation theory and complex-valued Markov random fields as prior models. It is shown that with this technique it is possible to perform accurate phase reconstructions even for extremely noisy fringe images and that the performance of this technique is nearly independent of the particular noise model, as long as the noise spectrum is wideband.

© 1998 Optical Society of America

OCIS Codes
(010.1080) Atmospheric and oceanic optics : Active or adaptive optics
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval

J. L. Marroquin, M. Servin, and R. Rodriguez Vera, "Adaptive quadrature filters for multiple phase-stepping images," Opt. Lett. 23, 238-240 (1998)

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  1. J. L. Marroquin, M. Servin, and R. Rodriguez-Vera, J. Opt. Soc. Am. A 14, 1742 (1997).
  2. J. L. Marroquin, M. Servin, and J. E. Figueroa, J. Opt. Soc. Am. A 14, 779 (1997).
  3. M. Takeda, H. Ina, and S. Kobayashi, J. Opt. Soc. Am. 72, 156 (1982).
  4. Th. Kreis, J. Opt. Soc. Am. A 3, 847 (1986).
  5. J. L. Marroquin, Computer Vision Graphics Image Process. 55, 408 (1993).
  6. K. Creath, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1988), Vol. XXVI, pp. 349–393.
  7. R. Jones and C. Wykes, Holographic and Speckle Interferometry (Cambridge U. Press, Cambridge, 1989).
  8. M. Rivera, R. Rodriguez-Vera, and J. L. Marroquin, Appl. Opt. 36, 8391 (1997).

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