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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 16 — Aug. 2, 2010
  • pp: 16567–16572

N-dimensional regularized fringe direction-estimator

Jesús Villa, Juan Antonio Quiroga, Manuel Servín, Julio Cesar Estrada, and Ismael de la Rosa  »View Author Affiliations


Optics Express, Vol. 18, Issue 16, pp. 16567-16572 (2010)
http://dx.doi.org/10.1364/OE.18.016567


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Abstract

It has been demonstrated that the vectorial fringe-direction field is very important to demodulate fringe patterns without a dominant (or carrier) frequency. Unfortunately, the computation of this direction-filed is by far the most difficult task in the full interferogram phase-demodulation process. In this paper we present an algorithm to estimate this fringe-direction vector-field of a single n-dimensional fringe pattern. Despite that our theoretical results are valid at any dimension in the Euclidean space, we present some computer-simulated results in three dimensions because it is the most useful case in practical applications. As herein demonstrated, our method is based on linear matrix and vector analysis, this translates into a low computational cost.

© 2010 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: May 28, 2010
Revised Manuscript: July 7, 2010
Manuscript Accepted: July 7, 2010
Published: July 22, 2010

Citation
Jesús Villa, Juan Antonio Quiroga, Manuel Servin, Julio Cesar Estrada, and Ismael de la Rosa, "N-dimensional regularized fringe direction-estimator," Opt. Express 18, 16567-16572 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-16-16567


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References

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