A robust algorithm for phase recovery from multi-phase-stepping images is presented. This algorithm is based on the minimization of an energy (cost) functional and is equivalent to the simultaneous application of a fixed temporal quadrature filter and a spatial adaptive quadrature filter to the phase-stepping pattern ensemble. The algorithm, believed to be new, is specially suited for those applications in which a large number of phase-stepping images may be obtained, e.g., profilometry with a computer-controlled fringe projector. We discuss the selection of parameter values and present examples of its performance in both synthetic and real image sequences.
© 2000 Optical Society of America
(100.2650) Image processing : Fringe analysis
(100.3190) Image processing : Inverse problems
(120.5050) Instrumentation, measurement, and metrology : Phase measurement
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
Mariano Rivera, Jose L. Marroquin, Salvador Botello, and Manuel Servín, "Robust Spatiotemporal Quadrature Filter for Multiphase Stepping," Appl. Opt. 39, 284-292 (2000)