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This paper presents three hyperspectral mixture models jointly with Bayesian algorithms for supervised hyperspectral unmixing. Based on the residual component analysis model, the proposed general formulation assumes the linear model to be…

Data Analysis, Statistics and Probability · Physics 2016-08-24 Abderrahim Halimi , Paul Honeine , Jose Bioucas-Dias

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

Given a hyperspectral image, the problem of hyperspectral unmixing (HU) is to identify the endmembers (or materials) and the abundance (or endmembers' contributions on pixels) that underlie the image. HU can be seen as a matrix…

Signal Processing · Electrical Eng. & Systems 2024-03-12 Junbin Liu , Yuening Li , Wing-Kin Ma

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

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

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

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

Traditional hyperspectral unmixing methods neglect the underlying variability of spectral signatures often observed in typical hyperspectral images (HI), propagating these missmodeling errors throughout the whole unmixing process. Attempts…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Tales Imbiriba , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez

Endmember variability is an important factor for accurately unveiling vital information relating the pure materials and their distribution in hyperspectral images. Recently, the extended linear mixing model (ELMM) has been proposed as a…

Computer Vision and Pattern Recognition · Computer Science 2017-10-24 Tales Imbiriba , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez

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

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

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

Endmember (EM) spectral variability can greatly impact the performance of standard hyperspectral image analysis algorithms. Extended parametric models have been successfully applied to account for the EM spectral variability. However, these…

Computer Vision and Pattern Recognition · Computer Science 2019-11-22 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez

Due to low spatial resolution, hyperspectral data often consists of mixtures of contributions from multiple materials. This limitation motivates the task of hyperspectral unmixing (HU), a fundamental problem in hyperspectral imaging. HU…

Computer Vision and Pattern Recognition · Computer Science 2025-05-21 Gokul Bhusal , Yifei Lou , Cristina Garcia-Cardona , Ekaterina Merkurjev

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

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

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

A semi-supervised Partial Membership Latent Dirichlet Allocation approach is developed for hyperspectral unmixing and endmember estimation while accounting for spectral variability and spatial information. Partial Membership Latent…

Computer Vision and Pattern Recognition · Computer Science 2017-03-21 Sheng Zou , Hao Sun , Alina Zare

Multitemporal hyperspectral unmixing (MTHU) is a fundamental tool in the analysis of hyperspectral image sequences. It reveals the dynamical evolution of the materials (endmembers) and of their proportions (abundances) in a given scene.…

Image and Video Processing · Electrical Eng. & Systems 2023-05-03 Ricardo Augusto Borsoi , Tales Imbiriba , Pau Closas

The spectral signatures of the materials contained in hyperspectral images, also called endmembers (EM), can be significantly affected by variations in atmospheric, illumination or environmental conditions typically occurring within an…

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