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N-dimensional regularized fringe direction-estimator

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Quiroga Mellado, Juan Antonio and Villa Hernández, José de Jesús and Servín Guirado, Manuel and Estrada, Julio César and Rosa Vargas, José Ismael de la (2010) N-dimensional regularized fringe direction-estimator. Optics Express, 18 (16). pp. 16567-16572. ISSN 1094-4087

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Official URL: 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.


Item Type:Article
Additional Information:

© 2010 Optical Society of America.
We acknowledge the support for the realization of this work to the Consejo Nacional de Ciencia y Tecnología (CONACYT), México, through the project CB-2008-01/102041, and the Ministerio de Ciencia e Innovación of Spain trough the project DPI2009-09023.

Uncontrolled Keywords:General Quadrature Transform, Orientation Term, Demodulation, Pattern, Algorithm
Subjects:Sciences > Physics > Optics
ID Code:22769
Deposited On:13 Sep 2013 09:39
Last Modified:14 Oct 2013 11:31

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