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Hyperspectral unmixing allows representing mixed pixels as a set of pure materials weighted by their abundances. Spectral features alone are often insufficient, so it is common to rely on other features of the scene. Matrix models become…

Image and Video Processing · Electrical Eng. & Systems 2023-10-09 Mohamad Jouni , Mauro Dalla Mura , Lucas Drumetz , Pierre Comon

Hyperspectral images provide much more information than conventional imaging techniques, allowing a precise identification of the materials in the observed scene, but because of the limited spatial resolution, the observations are usually…

Image and Video Processing · Electrical Eng. & Systems 2019-03-29 Lucas Drumetz , Travis R. Meyer , Jocelyn Chanussot , Andrea L. Bertozzi , Christian Jutten

This paper presents a nonlinear mixing model for hyperspectral image unmixing. The proposed model assumes that the pixel reflectances are post-nonlinear functions of unknown pure spectral components contaminated by an additive white…

Methodology · Statistics 2015-06-15 Yoann Altmann , Nicolas Dobigeon , Jean-Yves Tourneret

The development of signal unmixing algorithms is essential for leveraging multimodal datasets acquired through a wide array of scientific imaging technologies, including hyperspectral or time-resolved acquisitions. In experimental physics,…

When considering the problem of unmixing hyperspectral images, most of the literature in the geoscience and image processing areas relies on the widely used linear mixing model (LMM). However, the LMM may be not valid and other nonlinear…

Data Analysis, Statistics and Probability · Physics 2015-06-15 Nicolas Dobigeon , Jean-Yves Tourneret , Cédric Richard , José C. M. Bermudez , Stephen McLaughlin , Alfred O. Hero

In the remote sensing context spectral unmixing is a technique to decompose a mixed pixel into two fundamental representatives: endmembers and abundances. In this paper, a novel architecture is proposed to perform blind unmixing on…

Computer Vision and Pattern Recognition · Computer Science 2020-11-19 Yasiru Ranasinghe , Sanjaya Herath , Kavinga Weerasooriya , Mevan Ekanayake , Roshan Godaliyadda , Parakrama Ekanayake , Vijitha Herath

In a plethora of applications dealing with inverse problems, e.g. in image processing, social networks, compressive sensing, biological data processing etc., the signal of interest is known to be structured in several ways at the same time.…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Paris Giampouras , Konstantinos Themelis , Athanasios Rontogiannis , Konstantinos Koutroumbas

Hyperspectral unmixing aims at estimating material signatures (known as endmembers) and the corresponding proportions (referred to abundances), which is a critical preprocessing step in various hyperspectral imagery applications. This study…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Gang Yang

This paper presents a Bayesian algorithm for linear spectral unmixing of hyperspectral images that accounts for anomalies present in the data. The model proposed assumes that the pixel reflectances are linear mixtures of unknown endmembers,…

Methodology · Statistics 2015-10-06 Yoann Altmann , Steve McLaughlin , Alfred Hero

This paper presents a novel Bayesian approach for hyperspectral image unmixing. The observed pixels are modeled by a linear combination of material signatures weighted by their corresponding abundances. A spike-and-slab abundance prior is…

Applications · Statistics 2022-05-04 Zeng Li , Yoann Altmann , Jie Chen , Stephen Mclaughlin , Susanto Rahardja

Spectral unmixing is a crucial processing step when analyzing hyperspectral data. In such analysis, most of the work in the literature relies on the widely acknowledged linear mixing model to describe the observed pixels. Unfortunately,…

Data Analysis, Statistics and Probability · Physics 2014-04-21 Nicolas Dobigeon , Laurent Tits , Ben Somers , Yoann Altmann , Pol Coppin

Hyperspectral unmixing is aimed at identifying the reference spectral signatures composing an hyperspectral image and their relative abundance fractions in each pixel. In practice, the identified signatures may vary spectrally from an image…

Data Analysis, Statistics and Probability · Physics 2016-08-24 Pierre-Antoine Thouvenin , Nicolas Dobigeon , Jean-Yves Tourneret

Spectral unmixing is a widely used technique in hyperspectral image processing and analysis. It aims to separate mixed pixels into the component materials and their corresponding abundances. Early solutions to spectral unmixing are…

Signal Processing · Electrical Eng. & Systems 2021-04-27 Min zhao , Xiuheng Wang , Jie Chen , Wei Chen

Given a mixed hyperspectral data set, linear unmixing aims at estimating the reference spectral signatures composing the data - referred to as endmembers - their abundance fractions and their number. In practice, the identified endmembers…

Methodology · Statistics 2016-01-20 Pierre-Antoine Thouvenin , Nicolas Dobigeon , Jean-Yves Tourneret

Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particularly useful in many applications, e.g., in text mining, image…

Optimization and Control · Mathematics 2012-08-13 Nicolas Gillis , François Glineur

This work concerns a detailed review of data analysis methods used for remotely sensed images of large areas of the Earth and of other solid astronomical objects. In detail, it focuses on the problem of inferring the materials that cover…

Instrumentation and Methods for Astrophysics · Physics 2025-07-22 Alfredo Gimenez Zapiola , Andrea Boselli , Alessandra Menafoglio , Simone Vantini

This paper presents a nonlinear mixing model for joint hyperspectral image unmixing and nonlinearity detection. The proposed model assumes that the pixel reflectances are linear combinations of known pure spectral components corrupted by an…

Methodology · Statistics 2015-06-16 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

Hyperspectral images provide a rich representation of the underlying spectrum for each pixel, allowing for a pixel-wise classification/segmentation into different classes. As the acquisition of labeled training data is very time-consuming,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-25 Jan-Christopher Cohrs , Chandrajit Bajaj , Benjamin Berkels

Neural Radiance Field (NeRF)-based segmentation methods focus on object semantics and rely solely on RGB data, lacking intrinsic material properties. This limitation restricts accurate material perception, which is crucial for robotics,…

Image and Video Processing · Electrical Eng. & Systems 2025-08-07 Fabian Perez , Sara Rojas , Carlos Hinojosa , Hoover Rueda-Chacón , Bernard Ghanem

Hyperspectral image unmixing has proven to be a useful technique to interpret hyperspectral data, and is a prolific research topic in the community. Most of the approaches used to perform linear unmixing are based on convex geometry…

Image and Video Processing · Electrical Eng. & Systems 2020-04-22 Lucas Drumetz , Jocelyn Chanussot , Christian Jutten , Wing-Kin Ma , Akira Iwasaki