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This paper presents two novel hyperspectral mixture models and associated unmixing algorithms. The two models assume a linear mixing model corrupted by an additive term whose expression can be adapted to account for multiple scattering…

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 (SU) is a data processing problem in hyperspectral remote sensing. The significant challenge in the SU problem is how to identify endmembers and their weights, accurately. For estimation of signature and fractional…

Computer Vision and Pattern Recognition · Computer Science 2017-11-06 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani

This paper proposes a new hyperspectral unmixing method for nonlinearly mixed hyperspectral data using a semantic representation in a semi-supervised fashion, assuming the availability of a spectral reference library. Existing…

Computer Vision and Pattern Recognition · Computer Science 2017-06-07 Yuki Itoh , Siwei Feng , Marco F. Duarte , Mario Parente

The goal of hyperspectral unmixing is to decompose an electromagnetic spectral dataset measured over M spectral bands and T pixels into N constituent material spectra (or "end-members") with corresponding spatial abundances. In this paper,…

Information Theory · Computer Science 2015-08-05 Jeremy Vila , Philip Schniter , Joseph Meola

The hyperspectral unmixing method is an algorithm that extracts material (usually called endmember) data from hyperspectral data cube pixels along with their abundances. Due to a lower spatial resolution of hyperspectral sensors data in…

Image and Video Processing · Electrical Eng. & Systems 2024-10-01 Vytautas Paura , Virginijus Marcinkevičius

Nonlinear hyperspectral unmixing has recently received considerable attention, as linear mixture models do not lead to an acceptable resolution in some problems. In fact, most nonlinear unmixing methods are designed by assuming specific…

Image and Video Processing · Electrical Eng. & Systems 2024-02-07 Saeid Mehrdad , Seyed AmirHossein Janani

In the community of remote sensing, nonlinear mixing models have recently received particular attention in hyperspectral image processing. In this paper, we present a novel nonlinear spectral unmixing method following the recent multilinear…

Computer Vision and Pattern Recognition · Computer Science 2017-10-11 Qi Wei , Marcus Chen , Jean-Yves Tourneret , Simon Godsill

Supervised classification and representation learning are two widely used classes of methods to analyze multivariate images. Although complementary, these methods have been scarcely considered jointly in a hierarchical modeling. In this…

Computer Vision and Pattern Recognition · Computer Science 2020-02-14 Adrien Lagrange , Mathieu Fauvel , Stéphane May , José Bioucas-Dias , Nicolas Dobigeon

Linear mixture models are commonly used to represent hyperspectral datacube as a linear combinations of endmember spectra. However, determining of the number of endmembers for images embedded in noise is a crucial task. This paper proposes…

Applications · Statistics 2016-06-29 A. Halimi , P. Honeine , M. Kharouf , C. Richard , J. -Y. Tourneret

The block-term tensor decomposition model with multilinear rank-$(L_r,L_r,1)$ terms (or, the "LL1 tensor decomposition" in short) offers a valuable alternative for hyperspectral unmixing (HU) under the linear mixture model. Particularly,…

Signal Processing · Electrical Eng. & Systems 2022-05-10 Meng Ding , Xiao Fu , Xi-Le Zhao

Multitemporal hyperspectral image unmixing (MTHU) holds significant importance in monitoring and analyzing the dynamic changes of surface. However, compared to single-temporal unmixing, the multitemporal approach demands comprehensive…

Image and Video Processing · Electrical Eng. & Systems 2024-07-16 Hang Li , Qiankun Dong , Xueshuo Xie , Xia Xu , Tao Li , Zhenwei Shi

Over the past decades, enormous efforts have been made to improve the performance of linear or nonlinear mixing models for hyperspectral unmixing, yet their ability to simultaneously generalize various spectral variabilities and extract…

Image and Video Processing · Electrical Eng. & Systems 2021-05-24 Danfeng Hong , Lianru Gao , Jing Yao , Naoto Yokoya , Jocelyn Chanussot , Uta Heiden , Bing Zhang

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

Although considerable effort has been dedicated to improving the solution to the hyperspectral unmixing problem, non-idealities such as complex radiation scattering and endmember variability negatively impact the performance of most…

Image and Video Processing · Electrical Eng. & Systems 2023-10-05 Ricardo Augusto Borsoi , Deniz Erdoğmuş , Tales Imbiriba

Data acquired from multi-channel sensors is a highly valuable asset to interpret the environment for a variety of remote sensing applications. However, low spatial resolution is a critical limitation for previous sensors and the constituent…

Computer Vision and Pattern Recognition · Computer Science 2018-07-17 Savas Ozkan , Berk Kaya , Gozde Bozdagi Akar

Extracting reference spectra, or endmembers (EMs) from a given multi- or hyperspectral image, as well as estimating the size of the EM set, plays an important role in multispectral image processing. In this paper, we present…

Computer Vision and Pattern Recognition · Computer Science 2018-09-27 Christoph Schikora , Markus Plack , Andreas Kolb

The application of Partial Membership Latent Dirichlet Allocation(PM-LDA) for hyperspectral endmember estimation and spectral unmixing is presented. PM-LDA provides a model for a hyperspectral image analysis that accounts for spectral…

Computer Vision and Pattern Recognition · Computer Science 2016-09-13 Sheng Zou , Alina Zare

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

Endmember extraction from hyperspectral images aims to identify the spectral signatures of materials present in a scene. Recent studies have shown that self-dictionary methods can achieve high extraction accuracy; however, their high…

Image and Video Processing · Electrical Eng. & Systems 2026-05-26 Tomohiko Mizutani