title: Fast half-quadratic regularized phase tracking for nonnormalized fringe patterns.
abstract: Although one of the simplest and powerful approaches for the demodulation of a single fringe pattern with closed fringes is the regularized phase-tracking (RPT) technique, this technique has two important drawbacks: its sensibility at the fringe-pattern modulation and the time employed in the estimation. We present modifications to the RPT technique that consist of the inclusion of a rough estimate of the fringe-pattern modulation and the linearization of the fringe-pattern model that allows the minimization of the cost function through stable numerical linear techniques. With these changes, the demodulation of nonnormalized fringe patterns is made with a significant reduction in the processing time, preserving the demodulation accuracy of the original RPT method.
authors.affiliation: Facultad de Matematics, Universidad Autonoma de Yucatan, Apartado Postal 172, 97110 Merida, Yucatan, Mexico. rlegarda@tunku.uady.mx
authors.forename: Ricardo
authors.initials: R
authors.lastname: Legarda-Saenz
authors.forename: Mariano
authors.initials: M
authors.lastname: Rivera