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Hyperspectral remote sensing is a prominent research topic in data processing. Most of the spectral unmixing algorithms are developed by adopting the linear mixing models. Nonnegative matrix factorization (NMF) and its developments are used…

Computer Vision and Pattern Recognition · Computer Science 2018-12-31 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani

Uncertainty quantification based on stochastic spectral methods suffers from the curse of dimensionality. This issue was mitigated recently by low-rank tensor methods. However, there exist two fundamental challenges in low-rank tensor-based…

Numerical Analysis · Mathematics 2021-02-03 Zichang He , Zheng Zhang

Raman spectroscopy is widely used across scientific domains to characterize the chemical composition of samples in a non-destructive, label-free manner. Many applications entail the unmixing of signals from mixtures of molecular species to…

Fabrication process variations can significantly influence the performance and yield of nano-scale electronic and photonic circuits. Stochastic spectral methods have achieved great success in quantifying the impact of process variations,…

Machine Learning · Statistics 2021-06-29 Zichang He , Zheng Zhang

In this paper, we consider the problem of unmixing a time series of hyperspectral images. We propose a dynamical model based on linear mixing processes at each time instant. The spectral signatures and fractional abundances of the pure…

Computer Vision and Pattern Recognition · Computer Science 2016-06-29 Simon Henrot , Jocelyn Chanussot , Christian Jutten

Hyperspectral unmixing is the analytical process of determining the pure materials and estimating the proportions of such materials composed within an observed mixed pixel spectrum. We can unmix mixed pixel spectra using linear and…

Image and Video Processing · Electrical Eng. & Systems 2025-03-24 Jade Preston , William Basener

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

Spectral unmixing methods incorporating spatial regularizations have demonstrated increasing interest. Although spatial regularizers which promote smoothness of the abundance maps have been widely used, they may overly smooth these maps…

Image and Video Processing · Electrical Eng. & Systems 2018-08-01 Tatsumi Uezato , Mathieu Fauvel , Nicolas Dobigeon

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

Currently, this paper is under review in IEEE. Transformers have intrigued the vision research community with their state-of-the-art performance in natural language processing. With their superior performance, transformers have found their…

Computer Vision and Pattern Recognition · Computer Science 2022-10-05 Preetam Ghosh , Swalpa Kumar Roy , Bikram Koirala , Behnood Rasti , Paul Scheunders

Spectral variability significantly impacts the accuracy and convergence of hyperspectral unmixing algorithms. Many methods address complex spectral variability; yet large-scale distortions to the scale of the observed pixel signatures due…

Image and Video Processing · Electrical Eng. & Systems 2026-05-18 Praveen Sumanasekara , Athulya Ratnayake , Buddhi Wijenayake , Keshawa Ratnayake , Roshan Godaliyadda , Parakrama Ekanayake , Vijitha Herath

Low rank tensor representation (LRTR) methods are very useful for hyperspectral anomaly detection (HAD). To overcome the limitations that they often overlook spectral anomaly and rely on large-scale matrix singular value decomposition, we…

Computer Vision and Pattern Recognition · Computer Science 2025-03-10 Quan Yu , Yu-Hong Dai , Minru Bai

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

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

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

Spectral unmixing is a widely used technique in hyperspectral image processing and analysis. It aims to separate mixed pixels into the component materials and their corresponding abundances. Early solutions to spectral unmixing are…

Signal Processing · Electrical Eng. & Systems 2021-04-27 Min zhao , Xiuheng Wang , Jie Chen , Wei Chen

Hyperspectral imagery collected from airborne or satellite sources inevitably suffers from spectral variability, making it difficult for spectral unmixing to accurately estimate abundance maps. The classical unmixing model, the linear…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Danfeng Hong , Naoto Yokoya , Jocelyn Chanussot , Xiao Xiang Zhu

Hyperspectral unmixing, the process of estimating a common set of spectral bases and their corresponding composite percentages at each pixel, is an important task for hyperspectral analysis, visualization and understanding. From an…

Computer Vision and Pattern Recognition · Computer Science 2014-11-18 Feiyun Zhu , Ying Wang , Bin Fan , Gaofeng Meng , Shiming Xiang , Chunhong Pan

Spectral unmixing (SU) is a technique to characterize mixed pixels in hyperspectral images measured by remote sensors. Most of the spectral unmixing algorithms are developed using the linear mixing models. To estimate endmembers and…

Computer Vision and Pattern Recognition · Computer Science 2019-02-21 Sara Khoshsokhan , Roozbeh Rajabi , Hadi Zayyani

Hyperspectral image (HSI) has some advantages over natural image for various applications due to the extra spectral information. During the acquisition, it is often contaminated by severe noises including Gaussian noise, impulse noise,…

Image and Video Processing · Electrical Eng. & Systems 2020-07-03 Zhen Long , Yipeng Liu , Sixing Zeng , Jiani Liu , Fei Wen , Ce Zhu