Universidad Complutense de Madrid
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N-dimensional regularized fringe direction-estimator



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Quiroga Mellado, Juan Antonio y Villa Hernández, José de Jesús y Servín Guirado, Manuel y Estrada, Julio César y 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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URL Oficial: http://dx.doi.org/10.1364/OE.18.016567

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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.

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© 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.

Palabras clave:General Quadrature Transform, Orientation Term, Demodulation, Pattern, Algorithm
Materias:Ciencias > Física > Optica
Código ID:22769
Depositado:13 Sep 2013 09:39
Última Modificación:14 Oct 2013 11:31

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