Anomaly Detection of Hyperspectral Image With Hierarchical Antinoise Mutual-Incoherence- Induced Low-Rank Representation

Tan Guo, Long He, Fulin Luo, Xiuwen Gong, Yuanyuan Li, Lei Zhang

Abstract: Hyperspectral image (HSI) anomaly detection (AD) generally considers background pixels as low-rank distribution and anomaly pixels as sparse distribution. However, it is usually difficult to construct an accurate background dictionary for the background pixels composed of different land covers, and completely separate sparse anomaly targets from various complicated background pixels with complex mixed noise interference. To address these challenges, we propose an antinoise hierarchical mutual-incoherence-induced discriminative learning (AHMID) method for the AD of HSI. A structural incoherence constraint is designed to constrain the inherent dissimilarity and incoherence between the background and anomalies for improving their separability. Then, a first-order statistic constraint is conducted on targets to enhance the anomaly representation, and a decentralization constraint is used on the background to suppress the background representation. Meanwhile, a mixed noise model is constructed by <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\ell _{1,1}$ </tex-math></inline-formula> -norm and Frobenius norm to improve the antinoise performance. Finally, a hierarchical alternative strategy is developed to gradually optimize the background and anomalies. Experiments on six HSI AD datasets show that the proposed method outperforms a few state-of-the-art AD algorithms. Code: <uri xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">https://github.com/HalongL/HAD-AHMID</uri>