TY - JOUR
T1 - Hyperspectral Anomaly Detection via S1/2Regularized Low Rank Representation
AU - Wang, Jingyu
AU - Huang, Pengfei
AU - Zhang, Ke
AU - Wang, Qi
N1 - Publisher Copyright:
© 2004-2012 IEEE.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - Dictionary construction
KW - hyperspectral anomaly detection
KW - K-means++ clustering
KW - low-rank representation (LRR)
KW - regularization
UR - http://www.scopus.com/inward/record.url?scp=85103168354&partnerID=8YFLogxK
U2 - 10.1109/LGRS.2021.3063252
DO - 10.1109/LGRS.2021.3063252
M3 - 文章
AN - SCOPUS:85103168354
SN - 1545-598X
VL - 19
JO - IEEE Geoscience and Remote Sensing Letters
JF - IEEE Geoscience and Remote Sensing Letters
ER -