Hyperspectral Anomaly Detection via S1/2Regularized Low Rank Representation

Jingyu Wang, Pengfei Huang, Ke Zhang, Qi Wang

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

Anomaly detection has been drawing a great deal of attention by virtue of its practicability among the hyperspectral research area. Low-rank representation (LRR) has been widely employed to detect anomalies from hyperspectral imagery (HSI) effectively while a great number of methods derived from LRR replace rank function with a nuclear norm, which gives rise to a certain amount of error. In this letter, we propose a Schatten 1/2 quasi-norm ( S{1/2} ) regularized LRR (SRLRR) method with an improved algorithm of establishing the dictionary for hyperspectral anomaly detection. First, S{1/2} regularization is proposed to substitute the initial nuclear norm to approximate the rank function. Second, an improved dictionary construction algorithm based on K-Means++ clustering is presented to integrate the model and improve the performance. Finally, the optimization algorithm through alternating direction multiplier method (ADMM) incorporating a half threshold operator is introduced to attain the eventual results. Our method has been testified on three typical data sets and demonstrates the eminent performance.

Original languageEnglish
JournalIEEE Geoscience and Remote Sensing Letters
Volume19
DOIs
StatePublished - 2022

Keywords

  • Dictionary construction
  • hyperspectral anomaly detection
  • K-means++ clustering
  • low-rank representation (LRR)
  • regularization

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