title: Time efficient Chinese remainder theorem algorithm for full-field fringe phase analysis in multi-wavelength interferometry.
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.
authors.forename: Catherine
authors.initials: C
authors.lastname: Towers
authors.forename: David
authors.initials: D
authors.lastname: Towers
authors.forename: Julian
authors.initials: J
authors.lastname: Jones