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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

  • Vol. 22, Iss. 3 — Mar. 1, 2005
  • pp: 439–444

Estimation of the orientation term of the general quadrature transform from a single n-dimensional fringe pattern

J. Antonio Quiroga, Manuel Servin, J. Luis Marroquin, and Daniel Crespo  »View Author Affiliations


JOSA A, Vol. 22, Issue 3, pp. 439-444 (2005)
http://dx.doi.org/10.1364/JOSAA.22.000439


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Abstract

The spatial orientation of the fringe has been demonstrated to be a key point in the reliable phase demodulation from a single n-dimensional fringe pattern regardless of the frequency spectrum of the signal. The recently introduced general n-dimensional quadrature transform (GQT) makes explicit the importance of the fringe orientation in the demodulation process. The GQT is a quadrature operator that transforms cos ϕ into -sin ϕ—where ϕ is the modulating phase—and it is composed of two terms: an orientation factor directly related to the fringe’s spatial orientation and an isotropic n-dimensional generalization of the one-dimensional Hilbert transform. We present a method for the determination of the orientation factor in a general n-dimensional case and its application to the demodulation of a single fringe pattern by the GQT. We have tested the algorithm with simulated as well as real photoelastic fringe patterns with good results.

© 2005 Optical Society of America

OCIS Codes
(100.0100) Image processing : Image processing
(100.2650) Image processing : Fringe analysis
(100.6890) Image processing : Three-dimensional image processing
(120.5050) Instrumentation, measurement, and metrology : Phase measurement

History
Original Manuscript: June 4, 2004
Revised Manuscript: August 26, 2004
Manuscript Accepted: September 21, 2004
Published: March 1, 2005

Citation
J. Antonio Quiroga, Manuel Servin, J. Luis Marroquin, and Daniel Crespo, "Estimation of the orientation term of the general quadrature transform from a single n-dimensional fringe pattern," J. Opt. Soc. Am. A 22, 439-444 (2005)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-22-3-439

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