Wavelet-based sparse reduced-rank regression for hyperspectral image restoration

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46 Citations (Scopus)


In this paper, a method called wavelet-based sparse reduced-rank regression (WSRRR) is proposed for hyperspectral image restoration. The method is based on minimizing a sparse regularization problem subject to an orthogonality constraint. A cyclic descent-type algorithm is derived for solving the minimization problem. For selecting the tuning parameters, we propose a method based on Stein's unbiased risk estimation. It is shown that the hyperspectral image can be restored using a few sparse components. The method is evaluated using signal-to-noise ratio and spectral angle distance for a simulated noisy data set and by classification accuracies for a real data set. Two different classifiers, namely, support vector machines and random forest, are used in this paper. The method is compared to other restoration methods, and it is shown that WSRRR outperforms them for the simulated noisy data set. It is also shown in the experiments on a real data set that WSRRR not only effectively removes noise but also maintains more fine features compared to other methods used. WSRRR also gives higher classification accuracies.

Original languageEnglish
Article number6736073
Pages (from-to)6688-6698
Number of pages11
JournalIEEE Transactions on Geoscience and Remote Sensing
Issue number10
Publication statusPublished - Oct 2014

Other keywords

  • Classification
  • Denoising
  • Hyperspectral image restoration
  • Sparse component analysis (SCA)
  • Sparse reduced-rank regression (SRRR)
  • Sparse regularization
  • Stein's unbiased risk estimation (SURE)
  • Wavelets


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