Title
Learning a Low Tensor-Train Rank Representation for Hyperspectral Image Super-Resolution
Abstract
Hyperspectral images (HSIs) with high spectral resolution only have the low spatial resolution. On the contrary, multispectral images (MSIs) with much lower spectral resolution can be obtained with higher spatial resolution. Therefore, fusing the high-spatial-resolution MSI (HR-MSI) with low-spatial-resolution HSI of the same scene has become the very popular HSI super-resolution scheme. In this paper, a novel low tensor-train (TT) rank (LTTR)-based HSI super-resolution method is proposed, where an LTTR prior is designed to learn the correlations among the spatial, spectral, and nonlocal modes of the nonlocal similar high-spatial-resolution HSI (HR-HSI) cubes. First, we cluster the HR-MSI cubes as many groups based on their similarities, and the HR-HSI cubes are also clustered according to the learned cluster structure in the HR-MSI cubes. The HR-HSI cubes in each group are much similar to each other and can constitute a 4-D tensor, whose four modes are highly correlated. Therefore, we impose the LTTR constraint on these 4-D tensors, which can effectively learn the correlations among the spatial, spectral, and nonlocal modes because of the well-balanced matricization scheme of TT rank. We formulate the super-resolution problem as TT rank regularized optimization problem, which is solved via the scheme of alternating direction method of multipliers. Experiments on HSI data sets indicate the effectiveness of the LTTR-based method.
Year
DOI
Venue
2019
10.1109/tnnls.2018.2885616
IEEE Transactions on Neural Networks
Keywords
Field
DocType
Spatial resolution,Dictionaries,Correlation,Hyperspectral imaging,Matrix decomposition
Tensor,Pattern recognition,Computer science,Multispectral image,Matrix decomposition,Hyperspectral imaging,Matricization,Artificial intelligence,Image resolution,Optimization problem,Cube
Journal
Volume
Issue
ISSN
30
9
2162-2388
Citations 
PageRank 
References 
7
0.39
0
Authors
3
Name
Order
Citations
PageRank
Renwei Dian1844.65
Shutao Li219116.15
Leyuan Fang311611.15