title: Noise robust linear dynamic system for phase unwrapping and smoothing.
abstract: Phase unwrapping techniques remove the modulus ambiguities of wrapped phase maps. The present work shows a first-order feedback system for phase unwrapping and smoothing. This system is a fast sequential unwrapping system which also allows filtering some noise because in deed it is an Infinite Impulse Response (IIR) low-pass filter. In other words, our system is capable of low-pass filtering the wrapped phase as the unwrapping process proceeds. We demonstrate the temporal stability of this unwrapping feedback system, as well as its low-pass filtering capabilities. Our system even outperforms the most common and used unwrapping methods that we tested, such as the Flynn's method, the Goldstain's method, and the Ghiglia least-squares method (weighted or unweighted). The comparisons with these methods shows that our system filters-out some noise while preserving the dynamic range of the phase-data. Its application areas may cover: optical metrology, synthetic aperture radar systems, magnetic resonance, and those imaging systems where information is obtained as a demodulated wrapped phase map.
authors: Centro de Investigaciones en ptica A. C., Loma del Bosque 115, Col. Lomas del Campestre, 37150, Len Guanajuato, Mexico. julio@cio.mx
authors: Julio C
authors: JC
authors: Estrada
authors: Manuel
authors: M
authors: Servin
authors: Juan A
authors: JA
authors: Quiroga