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

Catherine E. Towers, David P. Towers, J. D C Jones

Research output: Contribution to journalArticle

Abstract

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. © 2004 Optical Society of America.

Original languageEnglish
Pages (from-to)1136-1143
Number of pages8
JournalOptics Express
Volume12
Issue number6
DOIs
Publication statusPublished - Mar 2004

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interferometry
theorems
wavelengths
number theory
congruences
noise measurement
projection
sensitivity

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Time efficient Chinese remainder theorem algorithm for full-field fringe phase analysis in multi-wavelength interferometry. / Towers, Catherine E.; Towers, David P.; Jones, J. D C.

In: Optics Express, Vol. 12, No. 6, 03.2004, p. 1136-1143.

Research output: Contribution to journalArticle

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