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Hyperspectral unmixing aims at identifying a set of elementary spectra and the corresponding mixture coefficients for each pixel of an image. As the elementary spectra correspond to the reflectance spectra of real materials, they are often…

Computer Vision and Pattern Recognition · Computer Science 2020-02-17 Adrien Lagrange , Mathieu Fauvel , Stéphane May , Nicolas Dobigeon

Spatial-Spectral Total Variation (SSTV) can quantify local smoothness of image structures, so it is widely used in hyperspectral image (HSI) processing tasks. Essentially, SSTV assumes a sparse structure of gradient maps calculated along…

Computer Vision and Pattern Recognition · Computer Science 2022-04-28 Haijin Zeng , Shaoguang Huang , Yongyong Chen , Hiep Luong , Wilfried Philips

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…

Optimization and Control · Mathematics 2016-11-17 Jose Bioucas-Dias

This paper studies a fully Bayesian algorithm for endmember extraction and abundance estimation for hyperspectral imagery. Each pixel of the hyperspectral image is decomposed as a linear combination of pure endmember spectra following the…

Data Analysis, Statistics and Probability · Physics 2010-08-30 Nicolas Dobigeon , Said Moussaoui , Martial Coulon , Jean-Yves Tourneret , Alfred O. Hero

In hyperspectral images, some spectral bands suffer from low signal-to-noise ratio due to noisy acquisition and atmospheric effects, thus requiring robust techniques for the unmixing problem. This paper presents a robust supervised spectral…

Machine Learning · Statistics 2017-10-11 Fei Zhu , Abderrahim Halimi , Paul Honeine , Badong Chen , Nanning Zheng

The dictionary-aided sparse regression (SR) approach has recently emerged as a promising alternative to hyperspectral unmixing (HU) in remote sensing. By using an available spectral library as a dictionary, the SR approach identifies the…

Machine Learning · Statistics 2016-08-24 Xiao Fu , Wing-Kin Ma , José Bioucas-Dias , Tsung-Han Chan

Hyperspectral unmixing while considering endmember variability is usually performed by the normal compositional model (NCM), where the endmembers for each pixel are assumed to be sampled from unimodal Gaussian distributions. However, in…

Computer Vision and Pattern Recognition · Computer Science 2018-03-14 Yuan Zhou , Anand Rangarajan , Paul D. Gader

Mixed pixels are presented in hyperspectral images due to low spatial resolution of hyperspectral sensors. Spectral unmixing decomposes mixed pixels spectra into endmembers spectra and abundance fractions. In this paper using of robust…

Computer Vision and Pattern Recognition · Computer Science 2012-12-06 Roozbeh Rajabi , Hassan Ghassemian

We introduce a new algorithm to solve a regularized spatial-spectral image estimation problem. Our approach is based on the linearized alternating directions method of multipliers (LADMM), which is a variation of the popular ADMM algorithm.…

Signal Processing · Electrical Eng. & Systems 2025-02-25 Yunsong Liu , Debdut Mandal , Congyu Liao , Kawin Setsompop , Justin P. Haldar

Endmember variability is an important factor for accurately unveiling vital information relating the pure materials and their distribution in hyperspectral images. Recently, the extended linear mixing model (ELMM) has been proposed as a…

Computer Vision and Pattern Recognition · Computer Science 2017-10-24 Tales Imbiriba , Ricardo Augusto Borsoi , José Carlos Moreira Bermudez

Although the sparse multinomial logistic regression (SMLR) has provided a useful tool for sparse classification, it suffers from inefficacy in dealing with high dimensional features and manually set initial regressor values. This has…

Computer Vision and Pattern Recognition · Computer Science 2017-12-05 Faxian Cao , Zhijing Yang , Jinchang Ren , Wing-Kuen Ling

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

We present a method for hyperspectral pixel {\it unmixing}. The proposed method assumes that (1) {\it abundances} can be encoded as Dirichlet distributions and (2) spectra of {\it endmembers} can be represented as multivariate Normal…

Image and Video Processing · Electrical Eng. & Systems 2024-02-07 Kiran Mantripragada , Faisal Z. Qureshi

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

In this paper, we address the issue of hyperspectral pan-sharpening, which consists in fusing a (low spatial resolution) hyperspectral image HX and a (high spatial resolution) panchromatic image P to obtain a high spatial resolution…

Computer Vision and Pattern Recognition · Computer Science 2014-05-13 Alexis Huck , François de Vieilleville , Pierre Weiss , Manuel Grizonnet

Spectral unmixing is an important task in hyperspectral image processing for separating the mixed spectral data pertaining to various materials observed individual pixels. Recently, nonlinear spectral unmixing has received particular…

Image and Video Processing · Electrical Eng. & Systems 2021-10-07 Min Zhao , Mou Wang , Jie Chen , Susanto Rahardja

The hyperspectral unmixing method is an algorithm that extracts material (usually called endmember) data from hyperspectral data cube pixels along with their abundances. Due to a lower spatial resolution of hyperspectral sensors data in…

Image and Video Processing · Electrical Eng. & Systems 2024-10-01 Vytautas Paura , Virginijus Marcinkevičius

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 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

The total variation (TV) regularization method is an effective method for image deblurring in preserving edges. However, the TV based solutions usually have some staircase effects. In this paper, in order to alleviate the staircase effect,…

Numerical Analysis · Mathematics 2015-05-20 Gang Liu , Ting-Zhu Huang , Jun Liu , Xiao-Guang Lv
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