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Hyperspectral images, which store a hundred or more spectral bands of reflectance, have become an important data source in natural and social sciences. Hyperspectral images are often generated in large quantities at a relatively coarse…

Computer Vision and Pattern Recognition · Computer Science 2022-04-29 Kangning Cui , Ruoning Li , Sam L. Polk , James M. Murphy , Robert J. Plemmons , Raymond H. Chan

In this paper, we introduce a novel linear model tailored for semisupervised/library-based unmixing. Our model incorporates considerations for library mismatch while enabling the enforcement of the abundance sum-to-one constraint (ASC).…

Computer Vision and Pattern Recognition · Computer Science 2024-10-01 Behnood Rasti , Alexandre Zouaoui , Julien Mairal , Jocelyn Chanussot

Hyperspectral images provide a rich representation of the underlying spectrum for each pixel, allowing for a pixel-wise classification/segmentation into different classes. As the acquisition of labeled training data is very time-consuming,…

Computer Vision and Pattern Recognition · Computer Science 2023-01-25 Jan-Christopher Cohrs , Chandrajit Bajaj , Benjamin Berkels

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

This paper presents a fast spectral unmixing algorithm based on Dykstra's alternating projection. The proposed algorithm formulates the fully constrained least squares optimization problem associated with the spectral unmixing task as an…

Computer Vision and Pattern Recognition · Computer Science 2015-05-08 Qi Wei , Jose Bioucas-Dias , Nicolas Dobigeon , Jean-Yves Tourneret

In this paper, we propose a novel hyperspectral unmixing technique based on deep spectral convolution networks (DSCN). Particularly, three important contributions are presented throughout this paper. First, fully-connected linear operation…

Computer Vision and Pattern Recognition · Computer Science 2018-06-25 Savas Ozkan , Gozde Bozdagi Akar

In this work, we consider nonnegative matrix factorization (NMF) with a regularization that promotes small volume of the convex hull spanned by the basis matrix. We present highly efficient algorithms for three different volume…

Numerical Analysis · Computer Science 2020-01-14 M. S. Ang , Nicolas Gillis

An efficient spatial regularization method using superpixel segmentation and graph Laplacian regularization is proposed for sparse hyperspectral unmixing method. Since it is likely to find spectrally similar pixels in a homogeneous region,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Taner Ince

Spectral unmixing aims at recovering the spectral signatures of materials, called endmembers, mixed in a hyperspectral or multispectral image, along with their abundances. A typical assumption is that the image contains one pure pixel per…

Optimization and Control · Mathematics 2018-02-22 Jeremy E. Cohen , Nicolas Gillis

With the development of numbers of high resolution data acquisition systems and the global requirement to lower the energy consumption, the development of efficient sensing techniques becomes critical. Recently, Compressed Sampling (CS)…

Information Theory · Computer Science 2015-06-11 Mohammad Golbabaee , Simon Arberet , Pierre Vandergheynst

The hyperspectral image (HSI) unmixing task is essentially an inverse problem, which is commonly solved by optimization algorithms under a predefined (non-)linear mixture model. Although these optimization algorithms show impressive…

Image and Video Processing · Electrical Eng. & Systems 2020-06-02 Chao Zhou

In this paper, we propose a novel method for image fusion with a high-resolution panchromatic image and a low-resolution multispectral image at the same geographical location. The fusion is formulated as a convex optimization problem which…

Computer Vision and Pattern Recognition · Computer Science 2015-10-28 Chen Chen , Yeqing Li , Wei Liu , Junzhou Huang

Nonnegative Matrix Factorization (NMF) is the problem of approximating a nonnegative matrix with the product of two low-rank nonnegative matrices and has been shown to be particularly useful in many applications, e.g., in text mining, image…

Optimization and Control · Mathematics 2012-08-13 Nicolas Gillis , François Glineur

We consider the problem of accurately and efficiently querying a remote server to retrieve information about images captured by a mobile device. In addition to reduced transmission overhead and computational complexity, the retrieval…

Computer Vision and Pattern Recognition · Computer Science 2016-05-10 Jacob Chakareski , Immanuel Manohar , Shantanu Rane

Incorporating spatial information into hyperspectral unmixing procedures has been shown to have positive effects, due to the inherent spatial-spectral duality in hyperspectral scenes. Current research works that consider spatial information…

Machine Learning · Statistics 2013-11-01 Jie Chen , Cédric Richard , Alfred O. Hero

Non-negative matrix factorization (NMF) is a key technique for feature extraction and widely used in source separation. However, existing algorithms may converge to poor local minima, or to one of several minima with similar objective value…

Machine Learning · Computer Science 2024-10-30 Youdong Guo , Timothy E. Holy

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

In this paper, we study the nonnegative matrix factorization problem under the separability assumption (that is, there exists a cone spanned by a small subset of the columns of the input nonnegative data matrix containing all columns),…

Machine Learning · Statistics 2014-04-07 Nicolas Gillis , Stephen A. Vavasis

This paper presents an unsupervised Bayesian algorithm for hyperspectral image unmixing accounting for endmember variability. The pixels are modeled by a linear combination of endmembers weighted by their corresponding abundances. However,…

Methodology · Statistics 2015-10-28 Abderrahim Halimi , Nicolas Dobigeon , Jean-Yves Tourneret

Semi-supervised symmetric non-negative matrix factorization (SNMF) utilizes the available supervisory information (usually in the form of pairwise constraints) to improve the clustering ability of SNMF. The previous methods introduce the…

Machine Learning · Computer Science 2024-10-29 Yuheng Jia , Jia-Nan Li , Wenhui Wu , Ran Wang
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