2017
DOI: 10.1109/tci.2016.2631979
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Fast Hyperspectral Unmixing in Presence of Nonlinearity or Mismodeling Effects

Abstract: This paper presents two novel hyperspectral mixture models and associated unmixing algorithms. The two models assume a linear mixing model corrupted by an additive term whose expression can be adapted to account for multiple scattering nonlinearities (NL), or mismodelling effects (ME). The NL model generalizes bilinear models by taking into account higher order interaction terms. The ME model accounts for different effects such as endmember variability or the presence of outliers. The abundance and residual pa… Show more

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Cited by 52 publications
(39 citation statements)
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“…They have been essentially used in the NMF framework with optimization methods [2,[12][13][14][15] or a Bayesian approach [16]. These methods strongly rely on the positivity of both 80 the sources and the mixing matrix, which is not necessarily a valid assumption in general settings.…”
Section: Robust Bss Methods In the Literaturementioning
confidence: 99%
“…They have been essentially used in the NMF framework with optimization methods [2,[12][13][14][15] or a Bayesian approach [16]. These methods strongly rely on the positivity of both 80 the sources and the mixing matrix, which is not necessarily a valid assumption in general settings.…”
Section: Robust Bss Methods In the Literaturementioning
confidence: 99%
“…where mi,j = mi ⊙ mj, and the interaction terms are weighted by the coefficient √ 2 obtained by comparison with a homogeneous polynomial kernel of the 2nd degree (see [23] for more details regarding these coefficients and the construction of Q (K) ). In what follows, and for brevity, we drop the order index (K) for general statements (related to all interaction orders) and only include it when dealing with specific orders.…”
Section: Nonlinear Mixture Modelmentioning
confidence: 99%
“…1 admit analytical solutions that are not presented here for brevity (see [23]). The computational complexity of Algo.…”
Section: The Nusal-k Algorithmmentioning
confidence: 99%
“…Their performances have been validated by the convincing field experiments in [33,34]. For more complex scenarios such as urban areas, higher-order scatterings have been taken into account [35][36][37]. Heylen et al [37] presented a multilinear mixing (MLM) model by introducing a probability parameter of light undergoing further interactions, and all orders of multiple scatterings can be included.…”
Section: Introductionmentioning
confidence: 99%