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  • Vol. 25, Iss. 15 — Aug. 1, 2000
  • pp: 1089–1091

Robust wave-front estimation from multiple directional derivatives

Ricardo Legarda-Sáenz, Mariano Rivera, Ramón Rodríguez-Vera, and Gerardo Trujillo-Schiaffino  »View Author Affiliations


Optics Letters, Vol. 25, Issue 15, pp. 1089-1091 (2000)
http://dx.doi.org/10.1364/OL.25.001089


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Abstract

A quadratic cost functional for computing an estimate of a wave front from multiple directional derivatives is presented. This functional is robust to noise and is specially suited for moiré deflectometry, Ronchi testing, and lateral shearing interferometry.

© 2000 Optical Society of America

OCIS Codes
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.4120) Instrumentation, measurement, and metrology : Moire' techniques
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

Citation
Ricardo Legarda-Sáenz, Mariano Rivera, Ramón Rodríguez-Vera, and Gerardo Trujillo-Schiaffino, "Robust wave-front estimation from multiple directional derivatives," Opt. Lett. 25, 1089-1091 (2000)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-25-15-1089


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References

  1. D. Malacara, ed., Optical Shop Testing (Wiley, New York, 1992), Chaps. 4 and 9.
  2. R. Legarda-Sáenz, R. Rodriguez-Vera, and M. Rivera, Opt. Commun. 160, 214 (1999).
  3. D. L. Fried, J. Opt. Soc. Am. 67, 370 (1977).
  4. R. H. Hudgin, J. Opt. Soc. Am. 67, 375 (1977).
  5. D. Malacara, M. Servin, and Z. Malacara, Interferogram Analysis for Optical Testing (Marcel Dekker, New York, 1998), Sec. 10.2.
  6. M. Rivera, J. L. Marroquín, S. Botello, and M. Servin, Appl. Opt. 39, 284 (2000).
  7. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C: The Art of Scientific Computing, 2nd ed. (Cambridge U. Press, Cambridge, 1992).
  8. Essilor International, “Progressive multifocal ophthalmic lens,” U.S. patent 5,272,495 (December 21, 1993).

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