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Spectral embedding finds vector representations of the nodes of a network, based on the eigenvectors of a properly constructed matrix, and has found applications throughout science and technology. Many networks are multipartite, meaning…

Methodology · Statistics 2025-10-27 Alexander Modell , Ian Gallagher , Joshua Cape , Patrick Rubin-Delanchy

When considering the problem of unmixing hyperspectral images, most of the literature in the geoscience and image processing areas relies on the widely used linear mixing model (LMM). However, the LMM may be not valid and other nonlinear…

Data Analysis, Statistics and Probability · Physics 2015-06-15 Nicolas Dobigeon , Jean-Yves Tourneret , Cédric Richard , José C. M. Bermudez , Stephen McLaughlin , Alfred O. Hero

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 data acquired through remote sensing are invaluable for environmental and resource studies. While rich in spectral information, various complexities such as environmental conditions, material properties, and sensor…

Geophysics · Physics 2025-01-16 Archisman Bhattacharjee , Pawan Bharadwaj

Unsupervised localization and segmentation are long-standing computer vision challenges that involve decomposing an image into semantically-meaningful segments without any labeled data. These tasks are particularly interesting in an…

Computer Vision and Pattern Recognition · Computer Science 2022-05-17 Luke Melas-Kyriazi , Christian Rupprecht , Iro Laina , Andrea Vedaldi

This paper presents a Bayesian algorithm for linear spectral unmixing of hyperspectral images that accounts for anomalies present in the data. The model proposed assumes that the pixel reflectances are linear mixtures of unknown endmembers,…

Methodology · Statistics 2015-10-06 Yoann Altmann , Steve McLaughlin , Alfred Hero

Hyperspectral unmixing allows representing mixed pixels as a set of pure materials weighted by their abundances. Spectral features alone are often insufficient, so it is common to rely on other features of the scene. Matrix models become…

Image and Video Processing · Electrical Eng. & Systems 2023-10-09 Mohamad Jouni , Mauro Dalla Mura , Lucas Drumetz , Pierre Comon

In order to simulate elastic wave propagation in a complex structure with inhomogeneous media, we often need to obtain the propagating eigenmodes of an elastic waveguide. As the waveguide is assumed uniform in one direction, the original…

Computational Physics · Physics 2021-08-18 An Qi Ge , Ming Wei Zhuang , Jie Liu , Qing Huo Liu

The phenomena of Spectral Bias, where the higher frequency components of a function being learnt in a feedforward Artificial Neural Network (ANN) are seen to converge more slowly than the lower frequencies, is observed ubiquitously across…

Machine Learning · Computer Science 2023-07-20 Kaumudi Joshi , Vukka Snigdha , Arya Kumar Bhattacharya

Hyperspectral unmixing (HU) has become an important technique in exploiting hyperspectral data since it decomposes a mixed pixel into a collection of endmembers weighted by fractional abundances. The endmembers of a hyperspectral image…

The development of signal unmixing algorithms is essential for leveraging multimodal datasets acquired through a wide array of scientific imaging technologies, including hyperspectral or time-resolved acquisitions. In experimental physics,…

In ultrasound imaging the appearance of homogeneous regions of tissue is subject to speckle, which for certain applications can make the detection of tissue irregularities difficult. To cope with this, it is common practice to apply speckle…

Image and Video Processing · Electrical Eng. & Systems 2022-08-02 Rüdiger Göbl , Christoph Hennersperger , Nassir Navab

Hyperspectral and multispectral image fusion allows us to overcome the hardware limitations of hyperspectral imaging systems inherent to their lower spatial resolution. Nevertheless, existing algorithms usually fail to consider realistic…

Image and Video Processing · Electrical Eng. & Systems 2023-07-19 Xiuheng Wang , Ricardo Augusto Borsoi , Cédric Richard , Jie Chen

Hyperspectral images contain mixed pixels due to low spatial resolution of hyperspectral sensors. Spectral unmixing problem refers to decomposing mixed pixels into a set of endmembers and abundance fractions. Due to nonnegativity constraint…

Computer Vision and Pattern Recognition · Computer Science 2014-08-13 Roozbeh Rajabi , Hassan Ghassemian

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…

Hyperspectral images contain mixed pixels due to low spatial resolution of hyperspectral sensors. Mixed pixels are pixels containing more than one distinct material called endmembers. The presence percentages of endmembers in mixed pixels…

Computer Vision and Pattern Recognition · Computer Science 2014-11-04 Roozbeh Rajabi , Hassan Ghassemian

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…

This study proposes a novel framework for spectral unmixing by using 1D convolution kernels and spectral uncertainty. High-level representations are computed from data, and they are further modeled with the Multinomial Mixture Model to…

Computer Vision and Pattern Recognition · Computer Science 2020-12-15 Savas Ozkan , Gozde Bozdagi Akar

Hyperspectral imaging (HSI) holds great potential for healthcare due to its rich spectral information. However, acquiring HSI data remains costly and technically demanding. Hyperspectral image reconstruction offers a practical solution by…

Computer Vision and Pattern Recognition · Computer Science 2025-11-18 Yufei Wen , Yuting Zhang , Jingdan Kang , Hao Ren , Weibin Cheng , Jintai Chen , Kaishun Wu

Several approaches have been proposed to solve the spectral unmixing problem in hyperspectral image analysis. Among them the use of sparse regression techniques aims to characterize the abundances in pixels based on a large library of…

Image and Video Processing · Electrical Eng. & Systems 2021-02-12 L. C. Ayres , S. J. M. de Almeida , J. C. M. Bermudez , R. A. Borsoi
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