Gaussian Mixture Model for Hyperspectral Unmixing with Low-Rank Representation

Abstract

Gaussian mixture model (GMM) can estimate not only the abundances and distribution parameters but also distinct end-member set for each pixel. However, the traditional GMM unmixing model only has proper smoothness and sparsity prior constraints on the abundances and thus cannot excavate the local spatial information in hyperspectral image (HSI). Thus, we propose a new unmixing method with superpixel segmentation (SS) and low-rank representation (LRR) based on GMM called GMM-SS-LRR, which can consider the local spatial correlation of HSI. First, we adopt the principal component analysis (PCA) to obtain the first principal component of HSI, which contains the most information for the entire HSI. Then, we adopt the SS in the first principal component of HSI to obtain the homogeneous regions, and the abundances in each homogeneous region have the underlying low-rank property. Finally, we unmix the pixels in each homogeneous region of HSI depending on the low-rank property of abundances. Experiments on synthetic datasets and real H-SIs demonstrate that the proposed GMM-SS-LRR is efficient compared with other current popular methods.