Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Fast algorithm for estimation of the orientation term of a general quadrature transform with application to demodulation of an n-dimensional fringe pattern

Not Accessible

Your library or personal account may give you access

Abstract

The spatial orientation of fringes has been demonstrated to be a key point in reliable phase demodulation from a single n-dimensional fringe pattern, regardless of the frequency spectrum of the signal. Recent publications have shown a general method for determination of the orientation factor by use of a regularized phase-tracking (RPT) algorithm. We propose a generalization of a RPT algorithm for estimation of the spatial orientation in a general n-dimensional case. The proposed algorithm makes use of a simplified cost function that remains one dimensional regardless of the dimension of the problem. This makes the calculation faster than with a standard RPT algorithm, with which it is necessary to minimize an n + 1-dimensional cost function for each point of the sample space. We have applied the method to the three-dimensional demodulation of a time-evolving fringe pattern, with good results.

© 2004 Optical Society of America

Full Article  |  PDF Article
More Like This
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
J. Opt. Soc. Am. A 22(3) 439-444 (2005)

Modulo 2π fringe orientation angle estimation by phase unwrapping with a regularized phase tracking algorithm

Juan Antonio Quiroga, Manuel Servin, and Francisco Cuevas
J. Opt. Soc. Am. A 19(8) 1524-1531 (2002)

Local adaptable quadrature filters to demodulate single fringe patterns with closed fringes.

J. C. Estrada, M. Servin, and J. L. Marroquín
Opt. Express 15(5) 2288-2298 (2007)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (13)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved