Topics in Applied Physics Volume 77, 2000, pp 55-102

Fringe Analysis

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Abstract

Fringe analysis is the process of extracting quantitative measurement data from fringe — or line — patterns. It usually consists of phase detection and phase unwrapping. Phase detection is the calculation of the fringes phase from the recorded intensity patterns, and this issue represents the major part of the material in this review. Different techniques for this phase calculation are presented, with special emphasis on the characteristic polynomial method, allows us permits to easily design customized algorithms coping with many error sources. For reference, a table presenting the properties of almost all algorithms which have been in recent years is provided in the Appendix. A generic method allowing us to quantitatively evaluate the phase errors and the effect of noise is presented here for the first time. Finally, some elements regarding the complex problem of phase unwrapping are given.