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This paper addresses the problem of blind and fully constrained unmixing of hyperspectral images. Unmixing is performed without the use of any dictionary, and assumes that the number of constituent materials in the scene and their spectral…

Applications · Statistics 2015-06-18 Rita Ammanouil , André Ferrari , Cédric Richard , David Mary

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

Finite mixture modelling is a popular method in the field of clustering and is beneficial largely due to its soft cluster membership probabilities. A common method for fitting finite mixture models is to employ spectral clustering, which…

Machine Learning · Statistics 2024-03-22 Liam Welsh , Phillip Shreeves

We consider robust submodular maximization problems (RSMs), where given a set of $m$ monotone submodular objective functions, the robustness is with respect to the worst-case (scaled) objective function. The model we consider generalizes…

Optimization and Control · Mathematics 2023-06-12 Hsin-Yi Huang , Hao-Hsiang Wu , Simge Kucukyavuz

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

In recent years, transformer-based deep learning networks have gained popularity in Hyperspectral (HS) unmixing applications due to their superior performance. The attention mechanism within transformers facilitates input-dependent…

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

Recently, flow-based methods have achieved promising success in video frame interpolation. However, electron microscopic (EM) images suffer from unstable image quality, low PSNR, and disorderly deformation. Existing flow-based interpolation…

Computer Vision and Pattern Recognition · Computer Science 2021-01-19 Zejin Wang , Guodong Sun , Lina Zhang , Guoqing Li , Hua Han

In this paper, we investigate the approximation properties of two types of multiscale finite element methods with oversampling as proposed in [Hou \& Wu, {\textit{J. Comput. Phys.}}, 1997] and [Efendiev, Hou \& Wu, \textit{SIAM J. Numer.…

Numerical Analysis · Mathematics 2025-07-22 Guanglian Li

Hyperspectral unmixing is an important remote sensing task with applications including material identification and analysis. Characteristic spectral features make many pure materials identifiable from their visible-to-infrared spectra, but…

Computer Vision and Pattern Recognition · Computer Science 2020-07-14 John Janiczek , Parth Thaker , Gautam Dasarathy , Christopher S. Edwards , Philip Christensen , Suren Jayasuriya

Hyperspectral super-resolution (HSR) aims at fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI). Recently, a coupled tensor factorization approach was proposed to handle this…

Signal Processing · Electrical Eng. & Systems 2019-10-24 Guoyong Zhang , Xiao Fu , Kejun Huang , Jun Wang

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

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

Hyperspectral images are data cubes with two spatial dimensions and a third spectral dimension, providing a spectrum for each pixel, and thus allow the mapping of extended sources' physical properties. In this article, we present the…

Instrumentation and Methods for Astrophysics · Physics 2024-06-19 Julia Lascar , Jérôme Bobin , Fabio Acero

Due to the large footprint of pixels in remote sensing imagery, hyperspectral unmixing (HU) has become an important and necessary procedure in hyperspectral image analysis. Traditional HU methods rely on a prior spectral mixing model,…

Computer Vision and Pattern Recognition · Computer Science 2026-04-02 Maofeng Tang , Hairong Qi

Hyperspectral images (HSIs) are often corrupted by a mixture of several types of noise during the acquisition process, e.g., Gaussian noise, impulse noise, dead lines, stripes, and many others. Such complex noise could degrade the quality…

Computer Vision and Pattern Recognition · Computer Science 2017-07-11 Yao Wang , Jiangjun Peng , Qian Zhao , Deyu Meng , Yee Leung , Xi-Le Zhao

Spectral element methods (SEM), which are extensions of finite element methods (FEM), are important emerging techniques for solving partial differential equations in physics and engineering. SEM can potentially deliver better accuracy due…

Numerical Analysis · Mathematics 2023-04-28 Jacob Jones , Rebecca Conley , Xiangmin Jiao

Tensor-based methods have been widely studied to attack inverse problems in hyperspectral imaging since a hyperspectral image (HSI) cube can be naturally represented as a third-order tensor, which can perfectly retain the spatial…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Lianru Gao , Zhicheng Wang , Lina Zhuang , Haoyang Yu , Bing Zhang , Jocelyn Chanussot

Hyperspectral unmixing (HU) is a crucial signal processing procedure to identify the underlying materials (or endmembers) and their corresponding proportions (or abundances) from an observed hyperspectral scene. A well-known blind HU…

Computational Geometry · Computer Science 2016-04-20 Chia-Hsiang Lin , Chong-Yung Chi , Yu-Hsiang Wang , Tsung-Han Chan

Unmixing is a fundamental process in hyperspectral image processing in which the materials present in a mixed pixel are determined based on the spectra of candidate materials and the pixel spectrum. Practical and general utility requires a…

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