Publication: Estimation of the orientation term of the general quadrature transform from a single n-dimensional fringe pattern
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2005-03
Authors
Servín Guirado, Manuel
Marroquín Zaleta, José Luis
Crespo Vázquez, Daniel
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Optical Society of America
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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.
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© 2005 Optical Society of America.
We acknowledge the economic support of this work given by project DPI2002-02104 of the Ministerio de Ciencia y Tecnología of Spain and by Consejo Nacional de Ciencia y Tecnología, México. Figure 6(a) is courtesy of NDT Expert, Toulouse, France; www.ndt-expert.fr.
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