The performance of Fourier-transform profilometry is enhanced by a
new technique that is based on spatial frequency multiplexing
combined with the Gushov–Solodkin phase unwrapping algorithm.
The technique permits the three-dimensional shape measurement of
objects that have discontinuous height steps and/or spatially
isolated surfaces, which has not been possible by conventional
Fourier-transform profilometry. An important feature of the technique
is that it requires only a single fringe pattern; the single-shot
recording makes possible the instantaneous three-dimensional shape
measurement of discontinuous objects in fast motion. Experimental
results are presented that demonstrate the validity of the
© 1997 Optical Society of America
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