期刊
APPLIED MATHEMATICAL MODELLING
卷 125, 期 -, 页码 463-481出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2023.10.009
关键词
Hyperspectral unmixing; Low-rank prior; Projection subspace; Joint sparsity; Abundance estimation
This paper proposes a new way to describe the low-rank prior by constructing a projection subspace and analyzing the abundance maps within it. Two algorithms are proposed based on different sparse structures, and experiments show their superiority compared to classical sparse unmixing algorithms.
With a known large spectral library, sparse hyperspectral unmixing has been taken as a hotspot in academia all these years. Its fundamental task is to estimate the abundance fractions of the spectral signatures in mixed pixels. Typically, the sparse and low-rank properties of the abundance matrix have been exploited simultaneously in the literature. Many studies only consider the low-rank property of the entire abundance matrix, however, pay less attention to the property of each abundance map. In this paper, we propose a new way to describe the low-rank prior. Firstly, an abundance cube is obtained by concatenating the abundance maps along the third dimension. We construct a lower-dimensional projection subspace of the abundance cube using a projection matrix, and the low-rankness of the abundance matrix is preserved during the projection process. Secondly, we consider the low-rank property by directly analyzing the abundance maps in the projection subspace. Finally, two algorithms, namely: projection subspace low-rank structure for sparse unmixing andprojection subspace low-rank structure for bilateral sparse unmixing, are proposed based on different sparse structures of the abundance matrix. Both simulated and real-data experiments demonstrate that compared with classical sparse unmixing algorithms, the proposed ones obtain better unmixing results as well as cut down on calculation time.
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