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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 23, Iss. 11 — Nov. 1, 2006
  • pp: 2724–2731

Fast half-quadratic regularized phase tracking for nonnormalized fringe patterns

Ricardo Legarda-Saenz and Mariano Rivera  »View Author Affiliations


JOSA A, Vol. 23, Issue 11, pp. 2724-2731 (2006)
http://dx.doi.org/10.1364/JOSAA.23.002724


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Abstract

Although one of the simplest and powerful approaches for the demodulation of a single fringe pattern with closed fringes is the regularized phase-tracking (RPT) technique, this technique has two important drawbacks: its sensibility at the fringe-pattern modulation and the time employed in the estimation. We present modifications to the RPT technique that consist of the inclusion of a rough estimate of the fringe-pattern modulation and the linearization of the fringe-pattern model that allows the minimization of the cost function through stable numerical linear techniques. With these changes, the demodulation of nonnormalized fringe patterns is made with a significant reduction in the processing time, preserving the demodulation accuracy of the original RPT method.

© 2006 Optical Society of America

OCIS Codes
(100.2650) Image processing : Fringe analysis
(100.5070) Image processing : Phase retrieval
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

ToC Category:
Image Processing

History
Original Manuscript: September 23, 2005
Revised Manuscript: May 11, 2006
Manuscript Accepted: May 18, 2006

Citation
Ricardo Legarda-Saenz and Mariano Rivera, "Fast half-quadratic regularized phase tracking for nonnormalized fringe patterns," J. Opt. Soc. Am. A 23, 2724-2731 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-11-2724

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