Abstract

We present a modification of the multigrid method for the minimization of quadratic cost functions that result from the formulation of several problems in the digital processing of fringe-pattern images by using the Bayesian estimation-theory framework. With this modification the method can be applied to irregular domains and results in substantial savings in computational cost. We compare it with other state-of-the-art numerical techniques and present examples of its application to image smoothing without edge effects, robust quadrature filtering for the phase demodulation of spatial-carrier fringe patterns, and robust phase unwrapping.

© 1998 Optical Society of America

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