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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…

图像与视频处理 · 电气工程与系统科学 2021-02-12 L. C. Ayres , S. J. M. de Almeida , J. C. M. Bermudez , R. A. Borsoi

Hyperspectral super-resolution refers to the problem of fusing a hyperspectral image (HSI) and a multispectral image (MSI) to produce a super-resolution image (SRI) that has fine spatial and spectral resolution. State-of-the-art methods…

信号处理 · 电气工程与系统科学 2018-12-05 Charilaos I. Kanatsoulis , Xiao Fu , Nicholas D. Sidiropoulos , Wing-Kin Ma

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,…

计算机视觉与模式识别 · 计算机科学 2026-04-02 Maofeng Tang , Hairong Qi

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…

图像与视频处理 · 电气工程与系统科学 2023-07-19 Xiuheng Wang , Ricardo Augusto Borsoi , Cédric Richard , Jie Chen

Hyperspectral Unmixing (HU) has received increasing attention in the past decades due to its ability of unveiling information latent in hyperspectral data. Unfortunately, most existing methods fail to take advantage of the spatial…

计算机视觉与模式识别 · 计算机科学 2014-07-14 Feiyun Zhu , Ying Wang , Shiming Xiang , Bin Fan , Chunhong Pan

In blind hyperspectral unmixing (HU), the pure-pixel assumption is well-known to be powerful in enabling simple and effective blind HU solutions. However, the pure-pixel assumption is not always satisfied in an exact sense, especially for…

机器学习 · 统计学 2023-07-19 Chia-Hsiang Lin , Wing-Kin Ma , Wei-Chiang Li , Chong-Yung Chi , ArulMurugan Ambikapathi

Matrix factorizations of a hypersurface yield a description of the asymptotic structure of minimal free resolutions over the hypersurface. We introduce a new concept of matrix factorizations for complete intersections that allows us to…

交换代数 · 数学 2015-02-24 David Eisenbud , Irena Peeva

The fusion of a low-resolution hyperspectral image (LR-HSI) with a high-resolution multispectral image (HR-MSI) has emerged as an effective technique for achieving HSI super-resolution (SR). Previous studies have mainly concentrated on…

计算机视觉与模式识别 · 计算机科学 2024-11-26 Ting Wang , Zipei Yan , Jizhou Li , Xile Zhao , Chao Wang , Michael Ng

In remote sensing, hyperspectral (HS) and multispectral (MS) image fusion have emerged as a synthesis tool to improve the data set resolution. However, conventional image fusion methods typically degrade the performance of the land cover…

图像与视频处理 · 电气工程与系统科学 2022-04-05 Juan Ramírez , Héctor Vargas , José Ignacio Martínez , Henry Arguello

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…

数据分析、统计与概率 · 物理学 2015-06-15 Nicolas Dobigeon , Jean-Yves Tourneret , Cédric Richard , José C. M. Bermudez , Stephen McLaughlin , Alfred O. Hero

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…

机器学习 · 统计学 2024-03-22 Liam Welsh , Phillip Shreeves

We consider a generalization of low-rank matrix completion to the case where the data belongs to an algebraic variety, i.e. each data point is a solution to a system of polynomial equations. In this case the original matrix is possibly…

机器学习 · 统计学 2017-03-29 Greg Ongie , Rebecca Willett , Robert D. Nowak , Laura Balzano

This paper presents a new Bayesian model and algorithm for nonlinear unmixing of hyperspectral images. The model proposed represents the pixel reflectances as linear combinations of the endmembers, corrupted by nonlinear (with respect to…

统计方法学 · 统计学 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

We consider the efficiency of multiplexing spatially encoded information across random configurations of a metasurface-programmable chaotic cavity in the microwave domain. The distribution of the effective rank of the channel matrix is…

应用物理 · 物理学 2020-08-05 Philipp del Hougne , Dmitry V. Savin , Olivier Legrand , Ulrich Kuhl

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…

信号处理 · 电气工程与系统科学 2021-04-27 Min zhao , Xiuheng Wang , Jie Chen , Wei Chen

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…

计算机视觉与模式识别 · 计算机科学 2016-06-29 Simon Henrot , Jocelyn Chanussot , Christian Jutten

The recently introduced collaborative nonnegative matrix factorization (CoNMF) algorithm was conceived to simultaneously estimate the number of endmembers, the mixing matrix, and the fractional abundances from hyperspectral linear mixtures.…

最优化与控制 · 数学 2016-09-21 Jun Li , Jose M. Bioucas-Dias , Antonio Plaza , Lin Liu

This paper presents a new linear hyperspectral unmixing method of the minimum volume class, termed \emph{simplex identification via split augmented Lagrangian} (SISAL). Following Craig's seminal ideas, hyperspectral linear unmixing amounts…

最优化与控制 · 数学 2016-11-17 Jose Bioucas-Dias

In this work, we introduce a highly efficient algorithm to address the nonnegative matrix underapproximation (NMU) problem, i.e., nonnegative matrix factorization (NMF) with an additional underapproximation constraint. NMU results are…

计算机视觉与模式识别 · 计算机科学 2017-04-11 Mariano Tepper , Guillermo Sapiro

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…

计算机视觉与模式识别 · 计算机科学 2016-11-23 Yuan Zhou , Anand Rangarajan , Paul Gader