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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

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

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

In hyperspectral imaging, spectral unmixing aims at decomposing the image into a set of reference spectral signatures corresponding to the materials present in the observed scene and their relative proportions in every pixel. While a linear…

Image and Video Processing · Electrical Eng. & Systems 2020-12-02 Lucas Drumetz , Jocelyn Chanussot , Christian Jutten

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

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

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

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

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

Spectral variability in hyperspectral images can result from factors including environmental, illumination, atmospheric and temporal changes. Its occurrence may lead to the propagation of significant estimation errors in the unmixing…

Computer Vision and Pattern Recognition · Computer Science 2020-01-23 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez

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

This work proposes a variational inference (VI) framework for hyperspectral unmixing in the presence of endmember variability (HU-EV). An EV-accounted noisy linear mixture model (LMM) is considered, and the presence of outliers is also…

Machine Learning · Computer Science 2024-07-23 Yuening Li , Xiao Fu , Junbin Liu , Wing-Kin Ma

Data assimilation methods aim at estimating the state of a system by combining observations with a physical model. When sequential data assimilation is considered, the joint distribution of the latent state and the observations is described…

Methodology · Statistics 2018-04-23 Thi Tuyet Trang Chau , Pierre Ailliot , Valérie Monbet , Pierre Tandeo

The Expectation-Maximization (EM) algorithm is a fundamental tool in unsupervised machine learning. It is often used as an efficient way to solve Maximum Likelihood (ML) estimation problems, especially for models with latent variables. It…

Quantum Physics · Physics 2020-07-08 Iordanis Kerenidis , Alessandro Luongo , Anupam Prakash

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

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

Multi-modal densities appear frequently in time series and practical applications. However, they cannot be represented by common state estimators, such as the Extended Kalman Filter (EKF) and the Unscented Kalman Filter (UKF), which…

Systems and Control · Computer Science 2014-01-03 Sanket Kamthe , Jan Peters , Marc P Deisenroth

We consider a general form of the sensor scheduling problem for state estimation of linear dynamical systems, which involves selecting sensors that minimize the trace of the Kalman filter error covariance (weighted by a positive…

Optimization and Control · Mathematics 2023-12-13 Shamak Dutta , Nils Wilde , Stephen L. Smith

Hyperspectral images provide much more information than conventional imaging techniques, allowing a precise identification of the materials in the observed scene, but because of the limited spatial resolution, the observations are usually…

Image and Video Processing · Electrical Eng. & Systems 2019-03-29 Lucas Drumetz , Travis R. Meyer , Jocelyn Chanussot , Andrea L. Bertozzi , Christian Jutten

The normal compositional model (NCM) has been extensively used in hyperspectral unmixing. However, most of the previous research has focused on estimation of endmembers and/or their variability. Also, little work has employed spatial…

Computer Vision and Pattern Recognition · Computer Science 2016-11-23 Yuan Zhou , Anand Rangarajan , Paul Gader