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

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Quiroga Mellado, Juan Antonio and Crespo Vázquez, Daniel and Gómez Pedrero, José Antonio (2004) Fast algorithm for estimation of the orientation term of a general quadrature transform with application to demodulation of an n-dimensional fringe pattern. Applied Optics, 43 (33). pp. 6139-6146. ISSN 0003-6935

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Official URL: http://dx.doi.org/10.1364/AO.43.006139


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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.


Item Type:Article
Additional Information:

© 2004 Optical Society of America.
We are grateful for financial support of this research by project DPI2002-02104 of the Ministerio de Ciencia y Tecnología of Spain and by Airbus France and NDT Expert under the contract “Development of new methods for the demodulation of Moiré fringe patterns".

Uncontrolled Keywords:Optics
Subjects:Sciences > Physics > Optics
ID Code:23089
Deposited On:15 Oct 2013 11:26
Last Modified:07 Feb 2014 10:56

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