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Semisupervised sparse subspace clustering method with a joint sparsity constraint for hyperspectral remote sensing images

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Abstract
Sparse subspace clustering (SSC), as an effective subspace clustering technique, has been widely applied in the remote sensing community, demonstrating a superior performance over the traditional methods such as k-means. In this paper, we propose a unified framework for hyperspectral image (HSI) clustering, which incorporates spatial information and label information in an SSC model, aiming at generating a more precise similarity matrix. The spatial information is included through a joint sparsity constraint on the coefficient matrix of each local region. Pixels within a local region are encouraged to select a common set of samples in the subspace-sparse representation, which greatly promotes the connectivity of the similarity matrix. We incorporate the available label information effectively within the same framework, by zeroing the entries of the sparse coefficient matrix, which correspond to the data points from different classes. An optimization algorithm is derived based on the alternating direction method of multipliers for the resulting model. Experimental results on real HSIs demonstrate a superior performance over the related state-of-the-art methods.
Keywords
Computers in Earth Sciences, Atmospheric Science, Hyperspectral image (HSI), joint sparsity, semisupervised clustering, sparse subspace clustering (SSC), ALGORITHM, SEARCH

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MLA
Huang, Shaoguang, et al. “Semisupervised Sparse Subspace Clustering Method with a Joint Sparsity Constraint for Hyperspectral Remote Sensing Images.” IEEE JOURNAL OF SELECTED TOPICS IN APPLIED EARTH OBSERVATIONS AND REMOTE SENSING, vol. 12, no. 3, IEEE, 2019, pp. 989–99.
APA
Huang, S., Zhang, H., & Pizurica, A. (2019). Semisupervised sparse subspace clustering method with a joint sparsity constraint for hyperspectral remote sensing images. IEEE JOURNAL OF SELECTED TOPICS IN APPLIED EARTH OBSERVATIONS AND REMOTE SENSING, 12(3), 989–999.
Chicago author-date
Huang, Shaoguang, Hongyan Zhang, and Aleksandra Pizurica. 2019. “Semisupervised Sparse Subspace Clustering Method with a Joint Sparsity Constraint for Hyperspectral Remote Sensing Images.” IEEE JOURNAL OF SELECTED TOPICS IN APPLIED EARTH OBSERVATIONS AND REMOTE SENSING 12 (3): 989–99.
Chicago author-date (all authors)
Huang, Shaoguang, Hongyan Zhang, and Aleksandra Pizurica. 2019. “Semisupervised Sparse Subspace Clustering Method with a Joint Sparsity Constraint for Hyperspectral Remote Sensing Images.” IEEE JOURNAL OF SELECTED TOPICS IN APPLIED EARTH OBSERVATIONS AND REMOTE SENSING 12 (3): 989–999.
Vancouver
1.
Huang S, Zhang H, Pizurica A. Semisupervised sparse subspace clustering method with a joint sparsity constraint for hyperspectral remote sensing images. IEEE JOURNAL OF SELECTED TOPICS IN APPLIED EARTH OBSERVATIONS AND REMOTE SENSING. 2019;12(3):989–99.
IEEE
[1]
S. Huang, H. Zhang, and A. Pizurica, “Semisupervised sparse subspace clustering method with a joint sparsity constraint for hyperspectral remote sensing images,” IEEE JOURNAL OF SELECTED TOPICS IN APPLIED EARTH OBSERVATIONS AND REMOTE SENSING, vol. 12, no. 3, pp. 989–999, 2019.
@article{8608749,
  abstract     = {Sparse subspace clustering (SSC), as an effective subspace clustering technique, has been widely applied in the remote sensing community, demonstrating a superior performance over the traditional methods such as k-means. In this paper, we propose a unified framework for hyperspectral image (HSI) clustering, which incorporates spatial information and label information in an SSC model, aiming at generating a more precise similarity matrix. The spatial information is included through a joint sparsity constraint on the coefficient matrix of each local region. Pixels within a local region are encouraged to select a common set of samples in the subspace-sparse representation, which greatly promotes the connectivity of the similarity matrix. We incorporate the available label information effectively within the same framework, by zeroing the entries of the sparse coefficient matrix, which correspond to the data points from different classes. An optimization algorithm is derived based on the alternating direction method of multipliers for the resulting model. Experimental results on real HSIs demonstrate a superior performance over the related state-of-the-art methods.},
  author       = {Huang, Shaoguang and Zhang, Hongyan and Pizurica, Aleksandra},
  issn         = {2151-1535},
  journal      = {IEEE JOURNAL OF SELECTED TOPICS IN APPLIED EARTH OBSERVATIONS AND REMOTE SENSING},
  keywords     = {Computers in Earth Sciences,Atmospheric Science,Hyperspectral image (HSI),joint sparsity,semisupervised clustering,sparse subspace clustering (SSC),ALGORITHM,SEARCH},
  language     = {eng},
  number       = {3},
  pages        = {989--999},
  publisher    = {IEEE},
  title        = {Semisupervised sparse subspace clustering method with a joint sparsity constraint for hyperspectral remote sensing images},
  url          = {http://dx.doi.org/10.1109/jstars.2019.2895508},
  volume       = {12},
  year         = {2019},
}

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