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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

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

This paper presents an unsupervised algorithm for nonlinear unmixing of hyperspectral images. The proposed model assumes that the pixel reflectances result from a nonlinear function of the abundance vectors associated with the pure spectral…

Machine Learning · Statistics 2015-06-05 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

This paper presents a new Bayesian spectral unmixing algorithm to analyse remote scenes sensed via sparse multispectral Lidar measurements. To a first approximation, in the presence of a target, each Lidar waveform consists of a main peak,…

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

Mixing phenomena in hyperspectral images depend on a variety of factors such as the resolution of observation devices, the properties of materials, and how these materials interact with incident light in the scene. Different parametric and…

Computer Vision and Pattern Recognition · Computer Science 2017-11-27 Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard , Jean-Yves Tourneret

This paper presents an unsupervised Bayesian algorithm for hyperspectral image unmixing accounting for endmember variability. The pixels are modeled by a linear combination of endmembers weighted by their corresponding abundances. However,…

Methodology · Statistics 2015-10-28 Abderrahim Halimi , Nicolas Dobigeon , Jean-Yves Tourneret

Hyperspectral unmixing is a blind source separation problem which consists in estimating the reference spectral signatures contained in a hyperspectral image, as well as their relative contribution to each pixel according to a given mixture…

Data Analysis, Statistics and Probability · Physics 2017-11-21 Pierre-Antoine Thouvenin , Nicolas Dobigeon , Jean-Yves Tourneret

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

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

Identifying pure components in mixtures is a common yet challenging problem. The associated unmixing process requires the pure components, also known as endmembers, to be sufficiently spectrally distinct. Even with this requirement met,…

Data Analysis, Statistics and Probability · Physics 2023-11-16 Oliver Hoidn , Aashwin Mishra , Apurva Mehta

Spectral unmixing is an important task in hyperspectral image processing for separating the mixed spectral data pertaining to various materials observed individual pixels. Recently, nonlinear spectral unmixing has received particular…

Image and Video Processing · Electrical Eng. & Systems 2021-10-07 Min Zhao , Mou Wang , Jie Chen , Susanto Rahardja

Unsupervised spectral unmixing consists of representing each observed pixel as a combination of several pure materials called endmembers with their corresponding abundance fractions. Beyond the linear assumption, various nonlinear unmixing…

Computer Vision and Pattern Recognition · Computer Science 2023-03-16 Tingting Fang , Fei Zhu , Jie Chen

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

In this paper, we present a Bayesian approach for spectral unmixing of multispectral Lidar (MSL) data associated with surface reflection from targeted surfaces composed of several known materials. The problem addressed is the estimation of…

Methodology · Statistics 2015-10-28 Yoann Altmann , Andrew Wallace , Steve McLaughlin

This paper studies a fully Bayesian algorithm for endmember extraction and abundance estimation for hyperspectral imagery. Each pixel of the hyperspectral image is decomposed as a linear combination of pure endmember spectra following the…

Data Analysis, Statistics and Probability · Physics 2010-08-30 Nicolas Dobigeon , Said Moussaoui , Martial Coulon , Jean-Yves Tourneret , Alfred O. Hero

This paper presents a multi-band image fusion algorithm based on unsupervised spectral unmixing for combining a high-spatial low-spectral resolution image and a low-spatial high-spectral resolution image. The widely used linear observation…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Qi Wei , Jose Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret , Marcus Chen , Simon Godsill

This paper presents a new Bayesian collaborative sparse regression method for linear unmixing of hyperspectral images. Our contribution is twofold; first, we propose a new Bayesian model for structured sparse regression in which the…

Computation · Statistics 2023-07-19 Yoann Altmann , Marcelo Pereyra , Jose Bioucas-Dias

Anomaly detection in medical imaging is to distinguish the relevant biomarkers of diseases from those of normal tissues. Deep supervised learning methods have shown potentials in various detection tasks, but its performances would be…

Image and Video Processing · Electrical Eng. & Systems 2021-12-01 Byungjai Kim , Kinam Kwon , Changheun Oh , Hyunwook Park

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
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