Locality Constrained Low Rank Representation and Automatic Dictionary Learning for Hyperspectral Anomaly Detection

Hyperspectral anomaly detection (HAD) as a special target detection can automatically locate anomaly objects whose spectral information are quite different from their surroundings, without any prior information about background and anomaly. In recent years, HAD methods based on the low rank represen...

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Main Authors: Ju Huang, Kang Liu, Xuelong Li
Format: Article
Language:English
Published: MDPI AG 2022-03-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/14/6/1327
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author Ju Huang
Kang Liu
Xuelong Li
author_facet Ju Huang
Kang Liu
Xuelong Li
author_sort Ju Huang
collection DOAJ
description Hyperspectral anomaly detection (HAD) as a special target detection can automatically locate anomaly objects whose spectral information are quite different from their surroundings, without any prior information about background and anomaly. In recent years, HAD methods based on the low rank representation (LRR) model have caught much attention, and achieved good results. However, LRR is a global structure model, which inevitably ignores the local geometrical information of hyperspectral image. Furthermore, most of these methods need to construct dictionaries with clustering algorithm in advance, and they are carried out stage by stage. In this paper, we introduce a locality constrained term inspired by manifold learning topreserve the local geometrical structure during the LRR process, and incorporate the dictionary learning into the optimization process of the LRR. Our proposed method is an one-stage algorithm, which can obtain the low rank representation coefficient matrix, the dictionary matrix, and the residual matrix referring to anomaly simultaneously. One simulated and three real hyperspectral images are used as test datasets. Three metrics, including the ROC curve, AUC value, and box plot, are used to evaluate the detection performance. The visualized results demonstrate convincingly that our method can not only detect anomalies accurately, but also suppress the background information and noises effectively. The three evaluation metrics also prove that our method is superior to other typical methods.
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spelling doaj.art-673595faabd144829c96df067fb74f002023-11-30T22:11:09ZengMDPI AGRemote Sensing2072-42922022-03-01146132710.3390/rs14061327Locality Constrained Low Rank Representation and Automatic Dictionary Learning for Hyperspectral Anomaly DetectionJu Huang0Kang Liu1Xuelong Li2School of Artificial Intelligence, Optics and ElectroNics (iOPEN), Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Artificial Intelligence, Optics and ElectroNics (iOPEN), Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Artificial Intelligence, Optics and ElectroNics (iOPEN), Northwestern Polytechnical University, Xi’an 710072, ChinaHyperspectral anomaly detection (HAD) as a special target detection can automatically locate anomaly objects whose spectral information are quite different from their surroundings, without any prior information about background and anomaly. In recent years, HAD methods based on the low rank representation (LRR) model have caught much attention, and achieved good results. However, LRR is a global structure model, which inevitably ignores the local geometrical information of hyperspectral image. Furthermore, most of these methods need to construct dictionaries with clustering algorithm in advance, and they are carried out stage by stage. In this paper, we introduce a locality constrained term inspired by manifold learning topreserve the local geometrical structure during the LRR process, and incorporate the dictionary learning into the optimization process of the LRR. Our proposed method is an one-stage algorithm, which can obtain the low rank representation coefficient matrix, the dictionary matrix, and the residual matrix referring to anomaly simultaneously. One simulated and three real hyperspectral images are used as test datasets. Three metrics, including the ROC curve, AUC value, and box plot, are used to evaluate the detection performance. The visualized results demonstrate convincingly that our method can not only detect anomalies accurately, but also suppress the background information and noises effectively. The three evaluation metrics also prove that our method is superior to other typical methods.https://www.mdpi.com/2072-4292/14/6/1327hyperspectral imageanomaly detectionlow rank representationlocality constraintdictionary learning
spellingShingle Ju Huang
Kang Liu
Xuelong Li
Locality Constrained Low Rank Representation and Automatic Dictionary Learning for Hyperspectral Anomaly Detection
Remote Sensing
hyperspectral image
anomaly detection
low rank representation
locality constraint
dictionary learning
title Locality Constrained Low Rank Representation and Automatic Dictionary Learning for Hyperspectral Anomaly Detection
title_full Locality Constrained Low Rank Representation and Automatic Dictionary Learning for Hyperspectral Anomaly Detection
title_fullStr Locality Constrained Low Rank Representation and Automatic Dictionary Learning for Hyperspectral Anomaly Detection
title_full_unstemmed Locality Constrained Low Rank Representation and Automatic Dictionary Learning for Hyperspectral Anomaly Detection
title_short Locality Constrained Low Rank Representation and Automatic Dictionary Learning for Hyperspectral Anomaly Detection
title_sort locality constrained low rank representation and automatic dictionary learning for hyperspectral anomaly detection
topic hyperspectral image
anomaly detection
low rank representation
locality constraint
dictionary learning
url https://www.mdpi.com/2072-4292/14/6/1327
work_keys_str_mv AT juhuang localityconstrainedlowrankrepresentationandautomaticdictionarylearningforhyperspectralanomalydetection
AT kangliu localityconstrainedlowrankrepresentationandautomaticdictionarylearningforhyperspectralanomalydetection
AT xuelongli localityconstrainedlowrankrepresentationandautomaticdictionarylearningforhyperspectralanomalydetection