RT Journal Article
T1 Estimation of the orientation term of the general quadrature transform from a single n-dimensional fringe pattern
A1 Quiroga Mellado, Juan Antonio
A1 Servín Guirado, Manuel
A1 Marroquín Zaleta, José Luis
A1 Crespo Vázquez, Daniel
AB 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.
PB Optical Society of America
SN 1084-7529
YR 2005
FD 2005-03
LK https://hdl.handle.net/20.500.14352/50809
UL https://hdl.handle.net/20.500.14352/50809
LA eng
NO © 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.
NO Ministerio de Ciencia y Tecnología of Spain
NO Consejo Nacional de Ciencia y Tecnología, México
DS Docta Complutense
RD 6 jul 2025