4.7 Article

Hyperspectral Image Super-Resolution via Subspace-Based Low Tensor Multi-Rank Regularization

Journal

IEEE TRANSACTIONS ON IMAGE PROCESSING
Volume 28, Issue 10, Pages 5135-5146

Publisher

IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIP.2019.2916734

Keywords

Super-resolution; hyperspectral imaging; low tensor multi-rank; image fusion

Funding

  1. National Natural Science Fund of China [61890962, 61520106001]
  2. Science and Technology Plan Project Fund of Hunan Province [CX2018B171, 2017RS3024, 2018TP1013]
  3. Science and Technology Talents Program of Hunan Association for Science and Technology [2017TJ-Q09]
  4. Hunan Provincial Innovation Foundation for Postgraduate
  5. China Scholarship Council

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Recently, combining a low spatial resolution hyperspectral image (LR-HSI) with a high spatial resolution multispectral image (HR-MSI) into an HR-HSI has become a popular scheme to enhance the spatial resolution of HSI. We propose a novel subspace-based low tensor multi-rank regularization method for the fusion, which fully exploits the spectral correlations and non-local similarities in the HR-HSI. To make use of high spectral correlations, the HR-HSI is approximated by spectral subspace and coefficients. We first learn the spectral subspace from the LR-HSI via singular value decomposition, and then estimate the coefficients via the low tensor multi-rank prior. More specifically, based on the learned cluster structure in the HR-MSI, the patches in coefficients are grouped. We collect the coefficients in the same cluster into a three-dimensional tensor and impose the low tensor multi-rank prior on these collected tensors, which fully model the non-local self-similarities in the HR-HSI. The coefficients optimization is solved by the alternating direction method of multipliers. Experiments on two public HSI datasets demonstrate the advantages of our method.

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