Please use this identifier to cite or link to this item: http://cio.repositorioinstitucional.mx/jspui/handle/1002/533
Half-Quadratic Cost Function for Computing Arbitrary Phase Shifts and Phase: Adaptive Out of Step Phase Shifting
AMALIA MARTINEZ GARCIA
JUAN ANTONIO RAYAS ALVAREZ
Acceso Abierto
Atribución-NoComercial-SinDerivadas
We present a phase shifting robust method for irregular and unknown phase steps. The method is formulated as the minimization of a half-quadratic (robust) regularized cost function for simultaneously computing phase maps and arbitrary phase shifts. The convergence to, at least, a local minimum is guaranteed. The algorithm can be understood as a phase refinement strategy that uses as initial guess a coarsely computed phase and coarsely estimated phase shifts. Such a coarse phase is assumed to be corrupted with artifacts produced by the use of a phase shifting algorithm but with imprecise phase steps. The refinement is achieved by iterating alternated minimization of the cost function for computing the phase map correction, an outliers rejection map and the phase shifts correction, respectively. The method performance is demonstrated by comparison with standard filtering and arbitrary phase steps detecting algorithms.
17-04-2006
Artículo
CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA
Appears in Collections:Artículos arbitrados 2006

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