Tensor-based methods have recently emerged as a more natural and effective formulation to address many problems in hyperspectral imaging. In hyperspectral unmixing (HU), low-rank constraints on the abundance maps have been shown to act as a regularization which adequately accounts for the multidimensional structure of the underlying signal. However, imposing a strict low-rank constraint for the...

In hyperspectral images, endmembers characterizing one class of ground object may vary due to illumination, weathering, slight variations the materials. This phenomenon is called intra-class endmember variability which important factors affecting performance unmixing. However, often ignored in unmixing, causes a decrease accuracy How deal with focus. To address this problem, we propose novel un...

In the North of Tunisia, Hammam Zriba region represents an important mine activity zone, it is among the most important in the Maghreb . The mine tailings cause the environment degradation, so it had polluted the atmosphere, the soils, the vegetation, the water quality and the ecosystem of the Hammam ouady (Dry River) which is discharged directly in the Miliane River. The Miliane River represen...

Independent Component Analysis (ICA) models are very popular semiparametric models in which we observe independent copies of a random vector X =AS, where A is a non-singular matrix and S has independent components. We propose a new way of estimating the unmixing matrix W = A−1 and the marginal distributions of the components of S using nonparametric maximum likelihood. Specifically, we study th...

Abstract: Hyperspectral unmixing aims to estimate a set of endmembers and corresponding abundances in pixels. Nonnegative matrix factorization (NMF) and its extensions with various constraints have been widely applied to hyperspectral unmixing. L1/2 and L2 regularizers can be added to NMF to enforce sparseness and evenness, respectively. In practice, a region in a hyperspectral image may posses...

One of the most important issues in biomedical research microscopy is the analysis of the spatial localization of fluorescently labelled structures. Today, a wide range of available dyes, fluorescent proteins and labelling techniques allows the creation of complex multicolored samples to study intracellular localization. However, analysis of localization and colocalization is often perturbed by...

Multispectral karyotyping analyzes all chromosomes in a single cell by labeling them with chromosome-specific probes conjugated to unique combinations of fluorophores. Currently available multispectral karyotyping systems require the purchase of specialized equipment and reagents. However, conventional laser scanning confocal microscopes that are capable of separating multiple overlapping emiss...

Mixing fluid in a container at low Reynolds number--in an inertialess environment--is not a trivial task. Reciprocating motions merely lead to cycles of mixing and unmixing, so continuous rotation, as used in many technological applications, would appear to be necessary. However, there is another solution: movement of the walls in a cyclical fashion to introduce a geometric phase. We show using...