Open AccessAlgorithm for phase extraction from a set of interferograms with arbitrary phase shifts
Author(s) -
J. F. Mosiño,
Juan C. Gutiérrez-García,
Tania A. Gutiérrez-García,
F. Castillo,
M.A. García-González,
V. A. Gutiérrez-García
Publication year - 2011
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.19.004908
Subject(s) - quadrature (astronomy) , optics , convolution (computer science) , set (abstract data type) , phase (matter) , algorithm , filter (signal processing) , quadrature mirror filter , computer science , mathematics , physics , filter design , artificial intelligence , prototype filter , computer vision , quantum mechanics , artificial neural network , programming language
The generalized analytical quadrature filter from a set of interferograms with arbitrary phase shifts is obtained. Both symmetrical and non symmetrical algorithms for any order are reported. The analytic expression is obtained through the convolution of a set of two-frame algorithms and expressed in terms of the combinatorial theory. Finally, the solution is applied to obtain several generalized tunable quadrature filters.