Hyperspectral Anomaly Detection With Relaxed Collaborative Representation

Anomaly detection has become an important remote sensing application due to the abundant spectral and spatial information contained in hyperspectral images. Recently, hyperspectral anomaly detection methods based on collaborative representation model have attracted significant attention. Nevertheless, these methods have to face two main challenges: (1) all features (spectral signatures) are constrained to share the same representation coefficient, which ignores the differences among features; (2) existing dictionaries for pixel-by-pixel detection model are usually not reliable. To address these issues, this paper proposes a new relaxed collaborative representation detector for hyperspectral anomaly detection by using a novel non-global dictionary. The proposed detector conducts collaborative representation on each feature dimension of the pixel under test, and simultaneously constrains the coding vectors of different features to be similar. To the best of our knowledge, this is the first time that a detection model is built from each feature dimension. To adjust the contributions of each feature, an adaptive feature weight constrained version of the method is also proposed. The non-global dictionary is constructed by combining the k-nearest neighbor method and an existing global dictionary, which is more reliable and practical than the widely used dual windows dictionary. In addition, this paper also designs a band selection strategy for the proposed method. Experiments on five real datasets indicate that the proposed method suppresses background well and outperforms other classical and state-of-the-art methods.