A comparison of common factor-based methods for hyperspectral image exploration: principal components analysis, maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF)

Principal components analysis (PCA), maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF) models are common factor-based models used for analysis of hyperspectral images. The models can be posed as maximisation problems that result in a symmetric ei...

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Main Author: Neal B. Gallagher
Format: Article
Language:English
Published: IM Publications Open 2022-08-01
Series:Journal of Spectral Imaging
Subjects:
Online Access:https://www.impopen.com/download.php?code=I11_a6
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author Neal B. Gallagher
author_facet Neal B. Gallagher
author_sort Neal B. Gallagher
collection DOAJ
description Principal components analysis (PCA), maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF) models are common factor-based models used for analysis of hyperspectral images. The models can be posed as maximisation problems that result in a symmetric eigenvalue problem (SEP) for each model. The SEPs allow a simple theoretical comparison of the models using a PCA metaphor with MAF, MNF and MDF describable as weighted PCA models. The examples show that the different methods captured different signals in the images that can be examined individually or combined synergistically allowing for additional modelling and extended visualisation. MDF is a factor-based edge detection model that not only allows for additional visualisation but the opportunity to identify and exclude (or highlight) edge signal in the images. An example shows that models can also be used synergistically for finding and elucidating anomalies. In the example, MDF showed the highest sensitivity of the models studied for anomaly detection.
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spelling doaj.art-a8ea71bfcb4942e686af415d4a77e9a12022-12-22T04:30:19ZengIM Publications OpenJournal of Spectral Imaging2040-45652022-08-0111a610.1255/jsi.2022.a6A comparison of common factor-based methods for hyperspectral image exploration: principal components analysis, maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF)Neal B. Gallagher0https://orcid.org/0000-0003-3446-2820Eigenvector Research, Inc., 300 Bella Strada Lane, Manson, WA 98831, USAPrincipal components analysis (PCA), maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF) models are common factor-based models used for analysis of hyperspectral images. The models can be posed as maximisation problems that result in a symmetric eigenvalue problem (SEP) for each model. The SEPs allow a simple theoretical comparison of the models using a PCA metaphor with MAF, MNF and MDF describable as weighted PCA models. The examples show that the different methods captured different signals in the images that can be examined individually or combined synergistically allowing for additional modelling and extended visualisation. MDF is a factor-based edge detection model that not only allows for additional visualisation but the opportunity to identify and exclude (or highlight) edge signal in the images. An example shows that models can also be used synergistically for finding and elucidating anomalies. In the example, MDF showed the highest sensitivity of the models studied for anomaly detection.https://www.impopen.com/download.php?code=I11_a6maximum autocorrelation factorsminimum noise factorsmaximum difference factors
spellingShingle Neal B. Gallagher
A comparison of common factor-based methods for hyperspectral image exploration: principal components analysis, maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF)
Journal of Spectral Imaging
maximum autocorrelation factors
minimum noise factors
maximum difference factors
title A comparison of common factor-based methods for hyperspectral image exploration: principal components analysis, maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF)
title_full A comparison of common factor-based methods for hyperspectral image exploration: principal components analysis, maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF)
title_fullStr A comparison of common factor-based methods for hyperspectral image exploration: principal components analysis, maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF)
title_full_unstemmed A comparison of common factor-based methods for hyperspectral image exploration: principal components analysis, maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF)
title_short A comparison of common factor-based methods for hyperspectral image exploration: principal components analysis, maximum autocorrelation factors (MAF), minimum noise factors (MNF) and maximum difference factors (MDF)
title_sort comparison of common factor based methods for hyperspectral image exploration principal components analysis maximum autocorrelation factors maf minimum noise factors mnf and maximum difference factors mdf
topic maximum autocorrelation factors
minimum noise factors
maximum difference factors
url https://www.impopen.com/download.php?code=I11_a6
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