Two-dimensional continuous wavelet transform for phase determination of complex interferograms

Abstract

A robust two-dimensional continuous wavelet transform (2D-CWT) technique for interferogram analysis is presented. To cope with the phase determination ambiguity issue encountered in the analysis of complex interferograms, a phase determination rule is proposed according to the phase distribution continuity, and a frequency-guided scheme is employed to obtain the correct phase distribution following a conventional 2D-CWT analysis. The theories are given in details, and the validity of the proposed technique is verified by computer simulation and real experiments.