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Optics Express

Optics Express

  • Editor: Michael Duncan
  • Vol. 12, Iss. 6 — Mar. 22, 2004
  • pp: 1136–1143

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

Catherine E. Towers, David P. Towers, and Julian D.C. Jones  »View Author Affiliations

Optics Express, Vol. 12, Issue 6, pp. 1136-1143 (2004)

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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

OCIS Codes
(100.2650) Image processing : Fringe analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry

ToC Category:
Research Papers

Original Manuscript: February 19, 2004
Revised Manuscript: March 13, 2004
Published: March 22, 2004

Catherine Towers, David Towers, and Julian Jones, "Time efficient Chinese remainder theorem algorithm for full-field fringe phase analysis in multi-wavelength interferometry," Opt. Express 12, 1136-1143 (2004)

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