Graph-Based Logarithmic Low-Rank Tensor Decomposition for the Fusion of Remotely Sensed Images
Hyperspectral images with high spatial resolution play an important role in material classification, change detection, and others. However, owing to the limitation of imaging sensors, it is difficult to directly acquire images with both high spatial resolution and high spectral resolution. Therefore...
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oai:doaj.org-article:daacdba225764451b380e0f01ca8cb1c2021-11-17T00:00:12ZGraph-Based Logarithmic Low-Rank Tensor Decomposition for the Fusion of Remotely Sensed Images2151-153510.1109/JSTARS.2021.3123466https://doaj.org/article/daacdba225764451b380e0f01ca8cb1c2021-01-01T00:00:00Zhttps://ieeexplore.ieee.org/document/9591494/https://doaj.org/toc/2151-1535Hyperspectral images with high spatial resolution play an important role in material classification, change detection, and others. However, owing to the limitation of imaging sensors, it is difficult to directly acquire images with both high spatial resolution and high spectral resolution. Therefore, the fusion of remotely sensed images is an effective way to obtain high-resolution desired data, which is usually an ill-posed inverse problem and susceptible to noise corruption. To address these issues, a low-rank model based on tensor decomposition is proposed to fuse hyperspectral and multispectral images by incorporating graph regularization, in which the logarithmic low-rank function is utilized to suppress the small components for denoising. Furthermore, this article takes advantage of the local spatial similarity of remotely sensed images to enhance the reconstruction performance by constructing spatial graphs, and also promotes signature smoothing between adjacent endmember spectra using the neighborhood-based spectral graph regularization. Finally, a set of efficient solvers is carefully designed via alternating optimization for closed-from solutions and computational reduction, in which vector-matrix operators are adapted to solve the 3-D core tensor. Experimental tests on several real datasets illustrate that the proposed fusion method yields better reconstruction performance than the current state-of-the-art methods, and can significantly suppress noise at the same time.Fei MaShuai HuoFeixia YangIEEEarticleGraph regularizationhyperspectral image (HSI) super-resolutionimage fusionlow ranktensor decompositionOcean engineeringTC1501-1800Geophysics. Cosmic physicsQC801-809ENIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, Vol 14, Pp 11271-11286 (2021) |
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Graph regularization hyperspectral image (HSI) super-resolution image fusion low rank tensor decomposition Ocean engineering TC1501-1800 Geophysics. Cosmic physics QC801-809 |
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Graph regularization hyperspectral image (HSI) super-resolution image fusion low rank tensor decomposition Ocean engineering TC1501-1800 Geophysics. Cosmic physics QC801-809 Fei Ma Shuai Huo Feixia Yang Graph-Based Logarithmic Low-Rank Tensor Decomposition for the Fusion of Remotely Sensed Images |
description |
Hyperspectral images with high spatial resolution play an important role in material classification, change detection, and others. However, owing to the limitation of imaging sensors, it is difficult to directly acquire images with both high spatial resolution and high spectral resolution. Therefore, the fusion of remotely sensed images is an effective way to obtain high-resolution desired data, which is usually an ill-posed inverse problem and susceptible to noise corruption. To address these issues, a low-rank model based on tensor decomposition is proposed to fuse hyperspectral and multispectral images by incorporating graph regularization, in which the logarithmic low-rank function is utilized to suppress the small components for denoising. Furthermore, this article takes advantage of the local spatial similarity of remotely sensed images to enhance the reconstruction performance by constructing spatial graphs, and also promotes signature smoothing between adjacent endmember spectra using the neighborhood-based spectral graph regularization. Finally, a set of efficient solvers is carefully designed via alternating optimization for closed-from solutions and computational reduction, in which vector-matrix operators are adapted to solve the 3-D core tensor. Experimental tests on several real datasets illustrate that the proposed fusion method yields better reconstruction performance than the current state-of-the-art methods, and can significantly suppress noise at the same time. |
format |
article |
author |
Fei Ma Shuai Huo Feixia Yang |
author_facet |
Fei Ma Shuai Huo Feixia Yang |
author_sort |
Fei Ma |
title |
Graph-Based Logarithmic Low-Rank Tensor Decomposition for the Fusion of Remotely Sensed Images |
title_short |
Graph-Based Logarithmic Low-Rank Tensor Decomposition for the Fusion of Remotely Sensed Images |
title_full |
Graph-Based Logarithmic Low-Rank Tensor Decomposition for the Fusion of Remotely Sensed Images |
title_fullStr |
Graph-Based Logarithmic Low-Rank Tensor Decomposition for the Fusion of Remotely Sensed Images |
title_full_unstemmed |
Graph-Based Logarithmic Low-Rank Tensor Decomposition for the Fusion of Remotely Sensed Images |
title_sort |
graph-based logarithmic low-rank tensor decomposition for the fusion of remotely sensed images |
publisher |
IEEE |
publishDate |
2021 |
url |
https://doaj.org/article/daacdba225764451b380e0f01ca8cb1c |
work_keys_str_mv |
AT feima graphbasedlogarithmiclowranktensordecompositionforthefusionofremotelysensedimages AT shuaihuo graphbasedlogarithmiclowranktensordecompositionforthefusionofremotelysensedimages AT feixiayang graphbasedlogarithmiclowranktensordecompositionforthefusionofremotelysensedimages |
_version_ |
1718426078705352704 |