A phase unwrapping algorithm based on iterative zonal reconstruction technique

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Abstract
As a core part of phase retrieval, phase unwrapping is widely used in the field of phase-based optical testing. In the past few decades, a large number of phase unwrapping methods have been proposed which can be divided into the pathdependent and the path-independent ones. In general speaking, the former is faster but more susceptible to noises, while the latter is time-consuming but more robust. In consideration of the aforementioned problems, a phase unwrapping algorithm based on iterative zonal reconstruction technique is put forward in this investigation. For a wrapped phase map with a rectangle pupil, the proposed method can directly and speedy achieve the phase unwrapping with a simply zonal reconstruction. For the case of an arbitrary pupil, the phase unwrapping is realized by an iteratively compensated zonal reconstruction with a slightly increased amount of calculation. Simulations and experiments have been carried out to demonstrate the effectiveness of the proposed method as well.

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