S3TRM: Spectral-Spatial Unmixing of Hyperspectral Imagery Based on Sparse Topic Relaxation-Clustering Model

Abstract

Hyperspectral unmixing (HU) has been one of the hot spots in hyperspectral remote sensing research and has great potential in many applications. In recent years, the employment of the probabilistic topic model to mine latent topics in hyperspectral images has been an effective way for spectral unmixing. However, these methods fail to fully exploit the potential of topic models in uncovering image semantics and need extra sparsity constraints, which greatly increases the complexity of the model. In addition, the spatial information which can provide the correlation of features in adjacent pixels is usually ignored in topic model-based HU. To solve these problems, a spectral-spatial unmixing framework of hyperspectral imagery based on a sparse topic relaxation-clustering model ( <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathrm{S}^{3}{\mathrm {TRM}}$ </tex-math></inline-formula> ) is proposed. In <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathrm{S}^{3}{\mathrm {TRM}}$ </tex-math></inline-formula> , the topic model combined with implied sparse prior constraints are introduced, and the sparse characteristics of <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\mathrm{S}^{3}{\mathrm {TRM}}$ </tex-math></inline-formula> are used to capture the semantic representation of the spectrum. With the proposed relaxation-clustering strategy, multiple possible spectral representations of features can be obtained, which further alleviates the influence caused by endmember variability. Group clustering is used to locate the endmember quickly and accurately. Moreover, superpixel segmentation is considered to supplement the spatial distribution information of features, thereby improving the fractional abundance. Experiments on a synthetic dataset and three well-known real hyperspectral datasets confirm the excellent performance of the proposed framework in both qualitative assessment and quantitative evaluation, compared with the other state-of-the-art methods.