2009
DOI: 10.1109/lgrs.2009.2021165
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Multichannel Phase Unwrapping With Graph Cuts

Abstract: Markovian approaches have proven to be effective for solving the multichannel phase-unwrapping (PU) problem, particularly when dealing with noisy data and big discontinuities. This letter presents a Markovian approach to solve the PU problem based on a new a priori model, the total variation, and graph-cut-based optimization algorithms. The proposed method turns out to be fast, simple, and robust. Moreover, compared with other approaches, the proposed algorithm is able to unwrap and restore the solution at the… Show more

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Cited by 60 publications
(30 citation statements)
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“…The first one is a weighted maximum likelihood estimator that exploits the weighted log-likelihood terms D i , without any regularization; the second one is a Maximum a Posteriori that implements the estimator of Eq. (15) with a sub-optimal minimization procedure based on Iterated Conditional Modes (ICM)); finally the MCPU proposed in [23] implements a Maximum a Posteriori estimator based on the statistical independence between interferograms and on the use of a graph-cut-based optimal minimization procedure.…”
Section: Validation On Numerical Simulationsmentioning
confidence: 99%
See 1 more Smart Citation
“…The first one is a weighted maximum likelihood estimator that exploits the weighted log-likelihood terms D i , without any regularization; the second one is a Maximum a Posteriori that implements the estimator of Eq. (15) with a sub-optimal minimization procedure based on Iterated Conditional Modes (ICM)); finally the MCPU proposed in [23] implements a Maximum a Posteriori estimator based on the statistical independence between interferograms and on the use of a graph-cut-based optimal minimization procedure.…”
Section: Validation On Numerical Simulationsmentioning
confidence: 99%
“…These methods propose to exploit the statistical distribution of the acquired data and to implement instruments provided by both classical [19], [20] and Bayesian estimation theory. In particular, for the latter when Markov Random Fields (MRF) theory is used for modeling the unknown height profile the so-called Bayesian Markovian estimation framework arises [21], providing very effective results in the multi-channel case [22], [23]. Interesting previous works proposed to apply the Bayesian Markovian framework to single-channel interferograms [24], [3].…”
Section: Introductionmentioning
confidence: 99%
“…Examples of multi-channel algorithms include Ghiglia and Wahl (1994), Fornaro et al (2006), Ferraioli et al (2009), andShabou et al (2012). The first two approaches propose maximum likelihood (ML) frameworks for the retrieval of the height, while the third and fourth employ maximum a-posteriori extensions in order to incorporate contextual information.…”
Section: Dual-baseline Region-growing Phase Unwrappingmentioning
confidence: 99%
“…To this end, various phase unwrapping methods, techniques and algorithms have been proposed and developed [2] whose main idea is to minimize the phase differences between adjacent pixels: i) either, locally by correcting the phase step by step and imposing certain restrictions on the unwrapping path. [3] [4], ii) or, globally by modeling and optimization of possible solutions [5] [6]. Through this paper, we propose a method of phase unwrapping that combines /fusions the advantages of two methods, namely: The method of phase unwrapping by avoidance of discontinuities, based on creating cut lines.…”
Section: Introductionmentioning
confidence: 99%