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Abstract
A new phase unwrapping algorithm is presented in which the phase is determined from the complex zeros of a band-limited function. Fast zero location is performed using a Newton-Kantorovich algorithm. By considering the behaviour of real zeros in two dimensions it is shown that the existence of such zeros can lead to ambiguities in the unwrapped phase. This has important implications for wavefront estimation, homomorphic signal processing, and methods in inverse scattering.