Abstract
A new method of estimating the phase-shift between interferograms is introduced.
The method is based on a recently introduced two-dimensional Fourier-Hilbert
demodulation technique. Three or more interferogram frames in an arbitrary
sequence are required. The first stage of the algorithm calculates frame
differences to remove the fringe pattern offset; allowing increased fringe
modulation. The second stage is spatial demodulation to estimate the analytic
image for each frame difference. The third stage robustly estimates the
inter-frame phase-shifts and then uses the generalised phase-shifting algorithm
of Lai and Yatagai to extract the offset, the modulation and the phase exactly.
Initial simulations of the method indicate that high accuracy phase estimates
are obtainable even in the presence of closed or discontinuous fringe
patterns.
©2001 Optical Society of America
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