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Identifying pure components in mixtures is a common yet challenging problem. The associated unmixing process requires the pure components, also known as endmembers, to be sufficiently spectrally distinct. Even with this requirement met,…

数据分析、统计与概率 · 物理学 2023-11-16 Oliver Hoidn , Aashwin Mishra , Apurva Mehta

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

Analyses of spectral data often assume a linear mixing hypothesis, which states that the spectrum of a mixed substance is approximately the mixture of the individual spectra of its constituent parts. We evaluate this hypothesis in the…

应用统计 · 统计学 2024-12-20 Peter Hoff , Christopher Osburn

Given a hyperspectral image, the problem of hyperspectral unmixing (HU) is to identify the endmembers (or materials) and the abundance (or endmembers' contributions on pixels) that underlie the image. HU can be seen as a matrix…

信号处理 · 电气工程与系统科学 2024-03-12 Junbin Liu , Yuening Li , Wing-Kin Ma

Mixture modelling using elliptical distributions promises enhanced robustness, flexibility and stability over the widely employed Gaussian mixture model (GMM). However, existing studies based on the elliptical mixture model (EMM) are…

机器学习 · 计算机科学 2020-09-30 Shengxi Li , Zeyang Yu , Danilo Mandic

Multiple Endmember Spectral Mixture Analysis (MESMA) is one of the leading approaches to perform spectral unmixing (SU) considering variability of the endmembers (EMs). It represents each EM in the image using libraries of spectral…

计算机视觉与模式识别 · 计算机科学 2022-11-28 Ricardo Augusto Borsoi , Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard

The application of Partial Membership Latent Dirichlet Allocation(PM-LDA) for hyperspectral endmember estimation and spectral unmixing is presented. PM-LDA provides a model for a hyperspectral image analysis that accounts for spectral…

计算机视觉与模式识别 · 计算机科学 2016-09-13 Sheng Zou , Alina Zare

Linear spectral mixture models (LMM) provide a concise form to disentangle the constituent materials (endmembers) and their corresponding proportions (abundance) in a single pixel. The critical challenges are how to model the spectral prior…

计算机视觉与模式识别 · 计算机科学 2025-12-11 Yimin Zhu , Lincoln Linlin Xu

Although considerable effort has been dedicated to improving the solution to the hyperspectral unmixing problem, non-idealities such as complex radiation scattering and endmember variability negatively impact the performance of most…

图像与视频处理 · 电气工程与系统科学 2023-10-05 Ricardo Augusto Borsoi , Deniz Erdoğmuş , Tales Imbiriba

This paper proposes a new hyperspectral unmixing method for nonlinearly mixed hyperspectral data using a semantic representation in a semi-supervised fashion, assuming the availability of a spectral reference library. Existing…

计算机视觉与模式识别 · 计算机科学 2017-06-07 Yuki Itoh , Siwei Feng , Marco F. Duarte , Mario Parente

Mixing phenomena in hyperspectral images depend on a variety of factors such as the resolution of observation devices, the properties of materials, and how these materials interact with incident light in the scene. Different parametric and…

计算机视觉与模式识别 · 计算机科学 2017-11-27 Tales Imbiriba , José Carlos Moreira Bermudez , Cédric Richard , Jean-Yves Tourneret

Multivariate data occurs in a wide range of fields, with ever more flexible model specifications being proposed, often within a multivariate generalised linear mixed effects (MGLME) framework. In this article, we describe an extended…

统计方法学 · 统计学 2017-10-09 Michael J. Crowther

We address regularised versions of the Expectation-Maximisation (EM) algorithm for Generalised Linear Mixed Models (GLMM) in the context of panel data (measured on several individuals at different time-points). A random response y is…

统计方法学 · 统计学 2019-08-21 Jocelyn Chauvet , Catherine Trottier , Xavier Bry

Hyperspectral unmixing aims at estimating material signatures (known as endmembers) and the corresponding proportions (referred to abundances), which is a critical preprocessing step in various hyperspectral imagery applications. This study…

计算机视觉与模式识别 · 计算机科学 2025-08-06 Gang Yang

In this paper, we propose a Two-Step Linear Mixing Model (2LMM) that bridges the gap between model complexity and computational tractability. The model achieves this by introducing two distinct scaling steps: an endmember scaling step…

图像与视频处理 · 电气工程与系统科学 2025-12-04 Xander Haijen , Bikram Koirala , Xuanwen Tao , Paul Scheunders

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

Extracting reference spectra, or endmembers (EMs) from a given multi- or hyperspectral image, as well as estimating the size of the EM set, plays an important role in multispectral image processing. In this paper, we present…

计算机视觉与模式识别 · 计算机科学 2018-09-27 Christoph Schikora , Markus Plack , Andreas Kolb

Over the past decades, enormous efforts have been made to improve the performance of linear or nonlinear mixing models for hyperspectral unmixing, yet their ability to simultaneously generalize various spectral variabilities and extract…

图像与视频处理 · 电气工程与系统科学 2021-05-24 Danfeng Hong , Lianru Gao , Jing Yao , Naoto Yokoya , Jocelyn Chanussot , Uta Heiden , Bing Zhang

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…

图像与视频处理 · 电气工程与系统科学 2021-10-07 Min Zhao , Mou Wang , Jie Chen , Susanto Rahardja

We propose a novel exponentially-modified Gaussian (EMG) mixture residual model. The EMG mixture is well suited to model residuals that are contaminated by a distribution with positive support. This is in contrast to commonly used robust…

机器学习 · 统计学 2019-02-18 Sebastian Ament , John Gregoire , Carla Gomes