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Tensor-based methods have recently emerged as a more natural and effective formulation to address many problems in hyperspectral imaging. In hyperspectral unmixing (HU), low-rank constraints on the abundance maps have been shown to act as a…

Computer Vision and Pattern Recognition · Computer Science 2018-11-14 Tales Imbiriba , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez

Spectral variations pose a common challenge in analyzing hyperspectral images (HSI). To address this, low-rank tensor representation has emerged as a robust strategy, leveraging inherent correlations within HSI data. However, the spatial…

Computer Vision and Pattern Recognition · Computer Science 2025-05-20 Bo Han , Yuheng Jia , Hui Liu , Junhui Hou

Traditional hyperspectral unmixing methods neglect the underlying variability of spectral signatures often observed in typical hyperspectral images (HI), propagating these missmodeling errors throughout the whole unmixing process. Attempts…

Computer Vision and Pattern Recognition · Computer Science 2019-10-25 Tales Imbiriba , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez

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

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

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

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…

Methodology · Statistics 2015-10-06 Yoann Altmann , Marcelo Pereyra , Stephen McLaughlin

Recently, the low-rank property of different components extracted from the image has been considered in man hyperspectral image denoising methods. However, these methods usually unfold the 3D tensor to 2D matrix or 1D vector to exploit the…

Computer Vision and Pattern Recognition · Computer Science 2021-11-16 Hang Zhou , Yanchi Su , Zhanshan Li

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

Non-local low-rank tensor approximation has been developed as a state-of-the-art method for hyperspectral image (HSI) restoration, which includes the tasks of denoising, compressed HSI reconstruction and inpainting. Unfortunately, while its…

Image and Video Processing · Electrical Eng. & Systems 2020-10-27 Wei He , Quanming Yao , Chao Li , Naoto Yokoya , Qibin Zhao , Hongyan Zhang , Liangpei Zhang

Non-local low-rank tensor approximation has been developed as a state-of-the-art method for hyperspectral image (HSI) denoising. Unfortunately, with more spectral bands for HSI, while the running time of these methods significantly…

Computer Vision and Pattern Recognition · Computer Science 2019-03-28 Wei He , Quanming Yao , Chao Li , Naoto Yokoya , Qibin Zhao

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…

Signal Processing · Electrical Eng. & Systems 2018-12-05 Charilaos I. Kanatsoulis , Xiao Fu , Nicholas D. Sidiropoulos , Wing-Kin Ma

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

In a plethora of applications dealing with inverse problems, e.g. in image processing, social networks, compressive sensing, biological data processing etc., the signal of interest is known to be structured in several ways at the same time.…

Computer Vision and Pattern Recognition · Computer Science 2016-08-24 Paris Giampouras , Konstantinos Themelis , Athanasios Rontogiannis , Konstantinos Koutroumbas

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

This paper presents an unsupervised algorithm for nonlinear unmixing of hyperspectral images. The proposed model assumes that the pixel reflectances result from a nonlinear function of the abundance vectors associated with the pure spectral…

Machine Learning · Statistics 2015-06-05 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , 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

Recent approaches based on transform-based tensor nuclear norm (TNN) have demonstrated notable effectiveness in hyperspectral image (HSI) inpainting by leveraging low-rank structures in latent representations. Recent developments…

Computer Vision and Pattern Recognition · Computer Science 2025-06-23 Yunshan Li , Wenwu Gong , Qianqian Wang , Chao Wang , Lili Yang

Multiway data often naturally occurs in a tensorial format which can be approximately represented by a low-rank tensor decomposition. This is useful because complexity can be significantly reduced and the treatment of large-scale data sets…

Machine Learning · Computer Science 2021-08-10 Clara Menzen , Manon Kok , Kim Batselier

Integrating a low-spatial-resolution hyperspectral image (LR-HSI) with a high-spatial-resolution multispectral image (HR-MSI) is recognized as a valid method for acquiring HR-HSI. Among the current fusion approaches, the tensor ring (TR)…

Image and Video Processing · Electrical Eng. & Systems 2023-10-17 Jun Zhang , Lipeng Zhu , Chao Wang , Shutao Li
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