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The nonlinear inverse problem of exponential data fitting is separable since the fitting function is a linear combination of parameterized exponential functions, thus allowing to solve for the linear coefficients separately from the…

数值分析 · 数学 2023-06-13 Annie Cuyt , Wen-shin Lee

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…

计算机视觉与模式识别 · 计算机科学 2014-08-13 Roozbeh Rajabi , Hassan Ghassemian

Introducing spatial prior information in hyperspectral imaging (HSI) analysis has led to an overall improvement of the performance of many HSI methods applied for denoising, classification, and unmixing. Extending such methodologies to…

图像与视频处理 · 电气工程与系统科学 2023-07-19 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard

We consider simultaneously identifying the membership and locations of point sources that are convolved with different low-pass point spread functions, from the observation of their superpositions. This problem arises in three-dimensional…

信息论 · 计算机科学 2015-04-24 Yuanxin Li , Yuejie Chi

The nonnegative matrix factorization (NMF) is widely used in signal and image processing, including bio-informatics, blind source separation and hyperspectral image analysis in remote sensing. A great challenge arises when dealing with a…

计算机视觉与模式识别 · 计算机科学 2016-03-29 Fei Zhu , Paul Honeine , Maya Kallas

We consider simultaneously identifying the membership and locations of point sources that are convolved with different band-limited point spread functions, from the observation of their superpositions. This problem arises in…

信息论 · 计算机科学 2017-03-22 Yuanxin Li , Yuejie Chi

Imaging spectrometers measure electromagnetic energy scattered in their instantaneous field view in hundreds or thousands of spectral channels with higher spectral resolution than multispectral cameras. Imaging spectrometers are therefore…

数据分析、统计与概率 · 物理学 2012-04-25 José M. Bioucas-Dias , Antonio Plaza , Nicolas Dobigeon , Mario Parente , Qian Du , Paul Gader , Jocelyn Chanussot

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…

机器学习 · 统计学 2015-06-05 Yoann Altmann , Nicolas Dobigeon , Steve McLaughlin , Jean-Yves Tourneret

Hyperspectral analysis has gained popularity over recent years as a way to infer what materials are displayed on a picture whose pixels consist of a mixture of spectral signatures. Computing both signatures and mixture coefficients is known…

最优化与控制 · 数学 2017-06-29 Adrien Faivre , Clément Dombry

The problem of recovering a mixture of spike signals convolved with distinct point spread functions (PSFs) lying on a parametric manifold, under the assumption that the spike locations are known, is studied. The PSF unmixing problem is…

信号处理 · 电气工程与系统科学 2025-09-30 Santos Michelena , Maxime Ferreira Da Costa , José Picheral

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…

计算机视觉与模式识别 · 计算机科学 2020-12-15 Savas Ozkan , Gozde Bozdagi Akar

In the univariate setting, using the kernel spectral representation is an appealing approach for generating stationary covariance functions. However, performing the same task for multiple-output Gaussian processes is substantially more…

机器学习 · 统计学 2021-03-15 Fergus Simpson , Alexis Boukouvalas , Vaclav Cadek , Elvijs Sarkans , Nicolas Durrande

Given a mixed hyperspectral data set, linear unmixing aims at estimating the reference spectral signatures composing the data - referred to as endmembers - their abundance fractions and their number. In practice, the identified endmembers…

统计方法学 · 统计学 2016-01-20 Pierre-Antoine Thouvenin , Nicolas Dobigeon , Jean-Yves Tourneret

One of the challenges in hyperspectral data analysis is the presence of mixed pixels. Mixed pixels are the result of low spatial resolution of hyperspectral sensors. Spectral unmixing methods decompose a mixed pixel into a set of endmembers…

计算机视觉与模式识别 · 计算机科学 2015-06-05 Roozbeh Rajabi , Hassan Ghassemian

Blind source separation is a common processing tool to analyse the constitution of pixels of hyperspectral images. Such methods usually suppose that pure pixel spectra (endmembers) are the same in all the image for each class of materials.…

统计方法学 · 统计学 2022-10-03 Charlotte Revel , Yannick Deville , Véronique Achard , Xavier Briottet

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…

最优化与控制 · 数学 2018-02-22 Jeremy E. Cohen , Nicolas Gillis

Hyperspectral unmixing has been an important technique that estimates a set of endmembers and their corresponding abundances from a hyperspectral image (HSI). Nonnegative matrix factorization (NMF) plays an increasingly significant role in…

计算机视觉与模式识别 · 计算机科学 2022-05-23 Xin-Ru Feng , Heng-Chao Li , Rui Wang , Qian Du , Xiuping Jia , Antonio Plaza

The matrix pencil method is an eigenvalue based approach for the parameter identification of sparse exponential sums. We derive a reconstruction algorithm for multivariate exponential sums that is based on simultaneous diagonalization.…

数值分析 · 数学 2018-05-17 Martin Ehler , Stefan Kunis , Thomas Peter , Christian Richter

Spectral variability in hyperspectral images can result from factors including environmental, illumination, atmospheric and temporal changes. Its occurrence may lead to the propagation of significant estimation errors in the unmixing…

计算机视觉与模式识别 · 计算机科学 2020-01-23 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez

Spectral variability significantly impacts the accuracy and convergence of hyperspectral unmixing algorithms. Many methods address complex spectral variability; yet large-scale distortions to the scale of the observed pixel signatures due…

图像与视频处理 · 电气工程与系统科学 2026-05-18 Praveen Sumanasekara , Athulya Ratnayake , Buddhi Wijenayake , Keshawa Ratnayake , Roshan Godaliyadda , Parakrama Ekanayake , Vijitha Herath
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