Hyperspectral anomaly detection based on weighted low-rank sparse dictionary learning

The geometric model-based hyperspectral anomaly detection techniques have garnered a lot of interest recently. These methods are predicated on the assumption that the background can be represented by a dictionary of spectral vectors, but the anomaly cannot. Building an objective model with high representational capabilities and obtaining precise background modeling are therefore key aspects of this type of method. The background dictionary is also readily tainted by anomalies due to the limitations of the current approaches, making the detection findings less reliable. To address the above problems, this paper proposes a weighted low-rank sparse dictionary learning method (WLSDL). This model organically combines sparse representation with low-rank representation in order to effectively depict the intricate background distribution. The weights relating to the eigenvalues of the image are designed by mining the physical characteristics of the HSI. This can enhance the nuclear norm’s capacity for representation, resulting in a background dictionary with more representativeness. Furthermore, the capped norm constraint is incorporated in the objective function to decrease the effect of anomalies and noises on background modeling, hence minimizing anomaly pollution on the background dictionary. The residual image effectively increases the accuracy of anomaly identification since it makes it easier to distinguish between anomalies and background. We use three hyperspectral datasets to evaluate the proposed method. The experimental findings demonstrate the effectiveness and superiority of the proposed method over state-of-the-art methods.