General Phase-stepping Algorithm Using Lissjous Figures Technique

摘要

A new phase-stepping algorithm is proposed, the algorithm can be implemented without knowing or calculating the phase steps. New phase extraction expressions based on using Lissajous figures and ellipse fitting are derived by introducing a simple difference transform for the intensity of the interferograms. The simulating results indicate that the new algorithm is insensitive to phase-stepping errors and the accuracy of the new algorithm is only limited by the computation truncation errors.