title: Modulo 2pi fringe orientation angle estimation by phase unwrapping with a regularized phase tracking algorithm.
abstract: The fringe orientation angle provides useful information for many fringe-pattern-processing techniques. From a single normalized fringe pattern (background suppressed and modulation normalized), the fringe orientation angle can be obtained by computing the irradiance gradient and performing a further arctangent computation. Because of the 180 degrees ambiguity of the fringe direction, the orientation angle computed from the gradient of a single fringe pattern can be determined only modulo pi. Recently, several studies have shown that a reliable determination of the fringe orientation angle modulo 2pi is a key point for a robust demodulation of the phase from a single fringe pattern. We present an algorithm for the computation of the modulo 2pi fringe orientation angle by unwrapping the orientation angle obtained from the gradient computation with a regularized phase tracking method. Simulated as well as experimental results are presented.
authors.affiliation: Departamento de Optica, Universidad Complutense de Madrid, Ciudad Universitarias S/N, Spain. aq@fis.ucm.es
authors.forename: Juan Antonio
authors.initials: JA
authors.lastname: Quiroga
authors.forename: Manuel
authors.initials: M
authors.lastname: Servin
authors.forename: Francisco
authors.initials: F
authors.lastname: Cuevas