title: Phase recovery from a single interferogram with closed fringes by phase unwrapping.
abstract: We describe a new algorithm for phase determination from a single interferogram with closed fringes based on an unwrapping procedure. Here we use bandpass filtering in the Fourier domain, obtaining two wrapped phases with sign changes corresponding to the orientation of the applied filters. An unwrapping scheme that corrects the sign ambiguities by comparing the local derivatives is then proposed. This can be done, assuming that the phase derivatives do not change abruptly among adjacent areas as occurs with smooth continuous phase maps. The proposed algorithm works fast and is robust against noise, as demonstrated in experimental and simulated data.
authors.affiliation: Universidad de Guadalajara, Centro Universitario de los Lagos, Enrique Díaz de León 1144, C. P. 47460, Lagos de Moreno, Jalisco, México. jesnek@hotmail.com
authors.forename: Jesús
authors.initials: J
authors.lastname: Muñoz-Maciel
authors.forename: Francisco J
authors.initials: FJ
authors.lastname: Casillas-Rodríguez
authors.forename: Miguel
authors.initials: M
authors.lastname: Mora-González
authors.forename: Francisco G
authors.initials: FG
authors.lastname: Peña-Lecona
authors.forename: Víctor M
authors.initials: VM
authors.lastname: Duran-Ramírez
authors.forename: Gilberto
authors.initials: G
authors.lastname: Gómez-Rosas