Open AccessTime efficient Chinese remainder theorem algorithm for full-field fringe phase analysis in multi-wavelength interferometry
Author(s) -
Catherine E. Towers,
David P. Towers,
Julian D. C. Jones
Publication year - 2004
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/opex.12.001136
Subject(s) - chinese remainder theorem , interferometry , remainder , optics , absolute phase , algorithm , phase noise , modulo , wavelength , noise (video) , phase (matter) , mathematics , computer science , physics , arithmetic , discrete mathematics , image (mathematics) , artificial intelligence , quantum mechanics
We present a computationally efficient method for solving the method of excess fractions used in multi-frequency interferometry for absolute phase measurement. The Chinese remainder theorem, an algorithm from number theory is used to provide a unique solution for absolute distance via a set of congruence's based on modulo arithmetic. We describe a modified version of this theorem to overcome its sensitivity to phase measurement noise. A comparison with the method of excess fractions has been performed to assess the performance of the algorithm and processing speed achieved. Experimental data has been obtained via a full-field fringe projection system for three projected fringe frequencies and processed using the modified Chinese remainder theorem algorithm.