%0 Journal Article
%A Quiroga Mellado, Juan Antonio
%A Servín Guirado, Manuel
%A Marroquín Zaleta, José Luis
%A Crespo Vázquez, Daniel
%T Estimation of the orientation term of the general quadrature transform from a single n-dimensional fringe pattern
%D 2005
%@ 1084-7529
%U https://hdl.handle.net/20.500.14352/50809
%X 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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