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This paper presents a semi-supervised hyperspectral unmixing solution that integrate the spatial information in the abundance estimation procedure. The proposed method is applied on a nonlinear model based on polynomial postnonlinear mixing…

Signal Processing · Electrical Eng. & Systems 2018-03-05 Fahime Amiri , Mohammad Hossein. Kahaei

Spectral variability is one of the major issue when conducting hyperspectral unmixing. Within a given image composed of some elementary materials (herein referred to as endmember classes), the spectral signature characterizing these classes…

Image and Video Processing · Electrical Eng. & Systems 2019-06-26 Tatsumi Uezato , Mathieu Fauvel , Nicolas Dobigeon

We apply MUltiple SIgnal Classification (MUSIC) algorithm for the location reconstruction of a set of {two-dimensional circle-like} small inhomogeneities in the limited-aperture inverse scattering problem. Compared with the full- or…

Numerical Analysis · Mathematics 2024-11-12 Won-Kwang Park

This paper presents a data processing pipeline designed to extract information from the hyperspectral signature of unknown space objects. The methodology proposed in this paper determines the material composition of space objects from…

Instrumentation and Methods for Astrophysics · Physics 2024-01-30 Massimiliano Vasile , Lewis Walker , Andrew Campbell , Simao Marto , Paul Murray , Stephen Marshall , Vasili Savitski

Sparse hyperspectral unmixing from large spectral libraries has been considered to circumvent limitations of endmember extraction algorithms in many applications. This strategy often leads to ill-posed inverse problems, which can benefit…

Computer Vision and Pattern Recognition · Computer Science 2018-10-29 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard

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

Spectral imaging enables spatially-resolved identification of materials in remote sensing, biomedicine, and astronomy. However, acquisition times require balancing spectral and spatial resolution with signal-to-noise. Hyperspectral imaging…

Computer Vision and Pattern Recognition · Computer Science 2020-03-17 Nguyen Tran , Rupali Mankar , David Mayerich , Zhu Han

In this paper, we consider the problem of unmixing a time series of hyperspectral images. We propose a dynamical model based on linear mixing processes at each time instant. The spectral signatures and fractional abundances of the pure…

Computer Vision and Pattern Recognition · Computer Science 2016-06-29 Simon Henrot , Jocelyn Chanussot , Christian Jutten

Software vulnerability detection is critical for ensuring software security and reliability. Despite recent advances in deep learning, real-world vulnerability datasets suffer from two severe challenges: frequency imbalance and difficulty…

Software Engineering · Computer Science 2026-05-12 Yuteng Zhang , Huifang Ma , Jiahui Wei , Qingqing Li , Yafei Yang

In fluorescence microscopy, spectral unmixing aims to recover individual fluorophore concentrations from spectral images that capture mixed fluorophore emissions. Since classical methods operate pixel-wise and rely on least-squares fitting,…

Computer Vision and Pattern Recognition · Computer Science 2026-03-26 Federico Carrara , Talley Lambert , Mehdi Seifi , Florian Jug

This paper addresses the problem of blind and fully constrained unmixing of hyperspectral images. Unmixing is performed without the use of any dictionary, and assumes that the number of constituent materials in the scene and their spectral…

Applications · Statistics 2015-06-18 Rita Ammanouil , André Ferrari , Cédric Richard , David Mary

This work introduces an on-the-fly (i.e., online) linear unmixing method which is able to sequentially analyze spectral data acquired on a spectrum-by-spectrum basis. After deriving a sequential counterpart of the conventional linear mixing…

Hyper-spectral data can be analyzed to recover physical properties at large planetary scales. This involves resolving inverse problems which can be addressed within machine learning, with the advantage that, once a relationship between…

Applications · Statistics 2015-12-31 Antoine Deleforge , Florence Forbes , Sileye Ba , Radu Horaud

This paper describes a new algorithm for hyperspectral image unmixing. Most of the unmixing algorithms proposed in the literature do not take into account the possible spatial correlations between the pixels. In this work, a Bayesian model…

Methodology · Statistics 2012-09-05 Olivier Eches , Nicolas Dobigeon , Jean-Yves Tourneret

This paper is the first paper of a series that will present the derivation of the modal mineralogy of Mars (M3 project) at a global scale from the near-infrared dataset acquired by the imaging spectrometer OMEGA (Observatoire pour la…

Earth and Planetary Astrophysics · Physics 2021-02-01 Lucie Riu , François Poulet , John Carter , Jean-Pierre Bibring , Brigitte Gondet , Mathieu Vincendon

Recent advances in detectors and computer science have enabled the acquisition and the processing of multidimensional datasets, in particular in the field of spectral imaging. Benefiting from these new developments, earth scientists try to…

Materials Science · Physics 2012-06-04 Nicolas Dobigeon , Nathalie Brun

This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

Methodology · Statistics 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

Spectral unmixing is an important and challenging problem in hyperspectral data processing. This topic has been extensively studied and a variety of unmixing algorithms have been proposed in the literature. However, the lack of publicly…

Computer Vision and Pattern Recognition · Computer Science 2019-02-25 Min Zhao , Jie Chen , Zhe He

We describe a computer application designed to analyze hyperspectral data collected by the Compact Infrared Spectrometer for Mars (CRISM). The application links the spectral, imaging and mapping perspectives on the eventual CRISM dataset by…

Instrumentation and Methods for Astrophysics · Physics 2014-01-29 Adrian J. Brown , Michael Storrie-Lombardi

Minerals play a critical role in the advanced energy technologies necessary for decarbonization, but characterizing mineral deposits hidden underground remains costly and challenging. Inspired by recent progress in generative modeling, we…

Machine Learning · Statistics 2025-11-14 Sujay Nair , Evan Coleman , Sherrie Wang , Elsa Olivetti