RT Journal Article
T1 Fast algorithm for estimation of the orientation term of a general quadrature transform with application to demodulation of an n-dimensional fringe pattern
A1 Quiroga Mellado, Juan Antonio
A1 Crespo Vázquez, Daniel
A1 Gómez Pedrero, José Antonio
AB The spatial orientation of fringes has been demonstrated to be a key point in reliable phase demodulation from a single n-dimensional fringe pattern, regardless of the frequency spectrum of the signal. Recent publications have shown a general method for determination of the orientation factor by use of a regularized phase-tracking (RPT) algorithm. We propose a generalization of a RPT algorithm for estimation of the spatial orientation in a general n-dimensional case. The proposed algorithm makes use of a simplified cost function that remains one dimensional regardless of the dimension of the problem. This makes the calculation faster than with a standard RPT algorithm, with which it is necessary to minimize an n + 1-dimensional cost function for each point of the sample space. We have applied the method to the three-dimensional demodulation of a time-evolving fringe pattern, with good results.
PB The Optical Society of America
SN 0003-6935
YR 2004
FD 2004-11-20
LK https://hdl.handle.net/20.500.14352/50815
UL https://hdl.handle.net/20.500.14352/50815
LA eng
NO © 2004 Optical Society of America.We are grateful for financial support of this research by project DPI2002-02104 of the Ministerio de Ciencia y Tecnología of Spain and by Airbus France and NDT Expert under the contract “Development of new methods for the demodulation of Moiré fringe patterns".
NO Ministerio de Ciencia y Tecnología of Spain
NO Airbus France
NO NDT Expert
DS Docta Complutense
RD 4 abr 2025