Time efficient Chinese remainder theorem algorithm for full-field fringe phase analysis in multi-wavelength interferometry

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 congr...

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Bibliographic Details
Published in:Optics express 2004-03, Vol.12 (6), p.1136-1143
Main Authors: Towers, Catherine, Towers, David, Jones, Julian
Format: Article
Language:English
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Summary: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.
ISSN:1094-4087
1094-4087
DOI:10.1364/OPEX.12.001136