Most interferogram demodulation techniques give the detected phase wrapped
owing to the arctangent function involved in the final step of the demodula
tion process. To obtain a continuous detected phase, an unwrapping process
must be performed. Here we propose a phase-unwrapping technique based on a
regularized phase-tracking (RPT) system. Phase unwrapping is achieved in tw
o steps. First, we obtain two phase-shifted fringe patterns from the demodu
lated wrapped phase (the sine and the cosine), then demodulate them by usin
g the RPT technique. In the RPT technique the unwrapping process is achieve
d simultaneously with the demodulation process so that the final goal of un
wrapping is therefore achieved. The RPT method for unwrapping the phase is
compared with the technique of least-squares integration of wrapped phase d
ifferences to outline the substantial noise robustness of the RPT technique
. (C) 1999 Optical Society of America.