Single Frame Fringe Pattern Analysis for Phase Recovery with Analytic Signal

Abstract

We consider a new application of the normalized Hilbert-Huang transform to extract directly the phase from a single fringe pattern. We present a technique to provide, with good accuracy, the phase distribution from a single interferogram without unwrapping step and this by a new exploitation of the analytic signal corresponding to each intrinsic mode function, resulting from onedimensional empirical mode decomposition of the fringe pattern. A theoretical analysis was carried out for this technique, followed by computer simulations and a real experimental fringe pattern for verification.

A High Precison Phase Extraction Algorithm from a Single Shot Interferogram

“…The second is to extract the phase from a single shot interferometer fringe, for example, wavelet analysis [6][7][8][9], Hilbert transform [10][11][12][13][14][15], fast Fourier transform [16][17][18][19], regularized phase tracing method [20][21][22] and the energy minimization method [23][24][25] and so on. Compared with the phase shifting method, it does not require precise phase shifting devices and multiple interference fringes, and the phase distribution can be recovered by single shot interference fringe, and it is valuable for the study of transient or dynamic problems.…”