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This paper introduces a robust mixing model to describe hyperspectral data resulting from the mixture of several pure spectral signatures. This new model not only generalizes the commonly used linear mixing model, but also allows for…

Methodology · Statistics 2015-10-28 Cédric Févotte , Nicolas Dobigeon

Hyperspectral image unmixing is an inverse problem aiming at recovering the spectral signatures of pure materials of interest (called endmembers) and estimating their proportions (called abundances) in every pixel of the image. However, in…

Image and Video Processing · Electrical Eng. & Systems 2019-11-28 Lucas Drumetz , Mauro Dalla Mura , Guillaume Tochon , Ronan Fablet

When adopting a model-based formulation, solving inverse problems encountered in multiband imaging requires to define spatial and spectral regularizations. In most of the works of the literature, spectral information is extracted from the…

Image and Video Processing · Electrical Eng. & Systems 2023-07-03 Min Zhao , Nicolas Dobigeon , Jie Chen

In multiband fusion, an image with a high spatial and low spectral resolution is combined with an image with a low spatial but high spectral resolution to produce a single multiband image having high spatial and spectral resolutions. This…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Unni V. S. , Pravin Nair , Kunal N. Chaudhury

Hyperspectral unmixing is the process of determining the presence of individual materials and their respective abundances from an observed pixel spectrum. Unmixing is a fundamental process in hyperspectral image analysis, and is growing in…

Image and Video Processing · Electrical Eng. & Systems 2024-08-15 Jade Preston , William Basener

Spectral embedding is a popular technique for the representation of graph data. Several regularization techniques have been proposed to improve the quality of the embedding with respect to downstream tasks like clustering. In this paper, we…

Machine Learning · Computer Science 2019-12-24 Nathan de Lara , Thomas Bonald

Hyperspectral imaging is an important tool in remote sensing, allowing for accurate analysis of vast areas. Due to a low spatial resolution, a pixel of a hyperspectral image rarely represents a single material, but rather a mixture of…

Computer Vision and Pattern Recognition · Computer Science 2017-02-28 Jürgen Hahn , Abdelhak M. Zoubir

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 aims at recovering the spectral signatures of materials, called endmembers, mixed in a hyperspectral or multispectral image, along with their abundances. A typical assumption is that the image contains one pure pixel per…

Optimization and Control · Mathematics 2018-02-22 Jeremy E. Cohen , Nicolas Gillis

Spectral unmixing is an important tool in hyperspectral data analysis for estimating endmembers and abundance fractions in a mixed pixel. This paper examines the applicability of a recently developed algorithm called graph regularized…

Computer Vision and Pattern Recognition · Computer Science 2011-11-04 Roozbeh Rajabi , Mahdi Khodadadzadeh , Hassan Ghassemian

Hyperspectral unmixing while considering endmember variability is usually performed by the normal compositional model (NCM), where the endmembers for each pixel are assumed to be sampled from unimodal Gaussian distributions. However, in…

Computer Vision and Pattern Recognition · Computer Science 2018-03-14 Yuan Zhou , Anand Rangarajan , Paul D. Gader

Endmember (EM) variability has an important impact on the performance of hyperspectral image (HI) analysis algorithms. Recently, extended linear mixing models have been proposed to account for EM variability in the spectral unmixing (SU)…

Computer Vision and Pattern Recognition · Computer Science 2022-11-28 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez

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

Hyperspectral unmixing aims at identifying a set of elementary spectra and the corresponding mixture coefficients for each pixel of an image. As the elementary spectra correspond to the reflectance spectra of real materials, they are often…

Computer Vision and Pattern Recognition · Computer Science 2020-02-17 Adrien Lagrange , Mathieu Fauvel , Stéphane May , Nicolas Dobigeon

Sparse regression methods have been proven effective in a wide range of signal processing problems such as image compression, speech coding, channel equalization, linear regression and classification. In this paper a new convex method of…

Optimization and Control · Mathematics 2018-03-07 Victor Stefan Aldea

Spectral pixels are often a mixture of the pure spectra of the materials, called endmembers, due to the low spatial resolution of hyperspectral sensors, double scattering, and intimate mixtures of materials in the scenes. Unmixing estimates…

Image and Video Processing · Electrical Eng. & Systems 2024-04-29 Behnood Rasti , Alexandre Zouaoui , Julien Mairal , Jocelyn Chanussot

This paper presents a novel methodology for generating realistic abundance maps from hyperspectral imagery using an unsupervised, deep-learning-driven approach. Our framework integrates blind linear hyperspectral unmixing with…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Martina Pastorino , Michael Alibani , Nicola Acito , Gabriele Moser

Natural images tend to mostly consist of smooth regions with individual pixels having highly correlated spectra. This information can be exploited to recover hyperspectral images of natural scenes from their incomplete and noisy…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Reza Arablouei , Frank de Hoog

Nuclear Magnetic Resonance (NMR) spectroscopy is an efficient technique to analyze chemical mixtures in which one acquires spectra of the chemical mixtures along one ore more dimensions. One of the important issues is to efficiently analyze…

Medical Physics · Physics 2020-11-03 Afef Cherni , Sandrine Anthoine , Caroline Chaux

Hyperspectral Unmixing (HU) has received increasing attention in the past decades due to its ability of unveiling information latent in hyperspectral data. Unfortunately, most existing methods fail to take advantage of the spatial…

Computer Vision and Pattern Recognition · Computer Science 2014-07-14 Feiyun Zhu , Ying Wang , Shiming Xiang , Bin Fan , Chunhong Pan