Hyperspectral Mixed Noise Removal By <inline-formula><tex-math notation="LaTeX">$\ell _1$</tex-math></inline-formula>-Norm-Based Subspace Representation

This article introduces a new hyperspectral image (HSI) denoising method that is able to cope with additive mixed noise, i.e., mixture of Gaussian noise, impulse noise, and stripes, which usually corrupt hyperspectral images in the acquisition process. The proposed method fully exploits a compact an...

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Main Authors: Lina Zhuang, Michael K. Ng
Format: Article
Language:English
Published: IEEE 2020-01-01
Series:IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
Subjects:
Online Access:https://ieeexplore.ieee.org/document/9040508/
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author Lina Zhuang
Michael K. Ng
author_facet Lina Zhuang
Michael K. Ng
author_sort Lina Zhuang
collection DOAJ
description This article introduces a new hyperspectral image (HSI) denoising method that is able to cope with additive mixed noise, i.e., mixture of Gaussian noise, impulse noise, and stripes, which usually corrupt hyperspectral images in the acquisition process. The proposed method fully exploits a compact and sparse HSI representation based on its low-rank and self-similarity characteristics. In order to deal with mixed noise having a complex statistical distribution, we propose to use the robust &#x2113;<sub>1</sub> data fidelity instead of using the &#x2113;<sub>1</sub> data fidelity, which is commonly employed for Gaussian noise removal. In a series of experiments with simulated and real datasets, the proposed method competes with state-of-the-art methods, yielding better results for mixed noise removal.
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spelling doaj.art-255cde5519864dec83b46ec9077c03442022-12-21T22:52:53ZengIEEEIEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing2151-15352020-01-01131143115710.1109/JSTARS.2020.29798019040508Hyperspectral Mixed Noise Removal By <inline-formula><tex-math notation="LaTeX">$\ell _1$</tex-math></inline-formula>-Norm-Based Subspace RepresentationLina Zhuang0https://orcid.org/0000-0002-9622-6535Michael K. Ng1https://orcid.org/0000-0001-6833-5227Department of Mathematics, Hong Kong Baptist University (HKBU), Hong KongDepartment of Mathematics, The University of Hong Kong, Hong KongThis article introduces a new hyperspectral image (HSI) denoising method that is able to cope with additive mixed noise, i.e., mixture of Gaussian noise, impulse noise, and stripes, which usually corrupt hyperspectral images in the acquisition process. The proposed method fully exploits a compact and sparse HSI representation based on its low-rank and self-similarity characteristics. In order to deal with mixed noise having a complex statistical distribution, we propose to use the robust &#x2113;<sub>1</sub> data fidelity instead of using the &#x2113;<sub>1</sub> data fidelity, which is commonly employed for Gaussian noise removal. In a series of experiments with simulated and real datasets, the proposed method competes with state-of-the-art methods, yielding better results for mixed noise removal.https://ieeexplore.ieee.org/document/9040508/High-dimensional datahyperspectral destripinghyperspectral restorationlow-rank representationnonlocal patchself-similarity
spellingShingle Lina Zhuang
Michael K. Ng
Hyperspectral Mixed Noise Removal By <inline-formula><tex-math notation="LaTeX">$\ell _1$</tex-math></inline-formula>-Norm-Based Subspace Representation
IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing
High-dimensional data
hyperspectral destriping
hyperspectral restoration
low-rank representation
nonlocal patch
self-similarity
title Hyperspectral Mixed Noise Removal By <inline-formula><tex-math notation="LaTeX">$\ell _1$</tex-math></inline-formula>-Norm-Based Subspace Representation
title_full Hyperspectral Mixed Noise Removal By <inline-formula><tex-math notation="LaTeX">$\ell _1$</tex-math></inline-formula>-Norm-Based Subspace Representation
title_fullStr Hyperspectral Mixed Noise Removal By <inline-formula><tex-math notation="LaTeX">$\ell _1$</tex-math></inline-formula>-Norm-Based Subspace Representation
title_full_unstemmed Hyperspectral Mixed Noise Removal By <inline-formula><tex-math notation="LaTeX">$\ell _1$</tex-math></inline-formula>-Norm-Based Subspace Representation
title_short Hyperspectral Mixed Noise Removal By <inline-formula><tex-math notation="LaTeX">$\ell _1$</tex-math></inline-formula>-Norm-Based Subspace Representation
title_sort hyperspectral mixed noise removal by inline formula tex math notation latex ell 1 tex math inline formula norm based subspace representation
topic High-dimensional data
hyperspectral destriping
hyperspectral restoration
low-rank representation
nonlocal patch
self-similarity
url https://ieeexplore.ieee.org/document/9040508/
work_keys_str_mv AT linazhuang hyperspectralmixednoiseremovalbyinlineformulatexmathnotationlatexell1texmathinlineformulanormbasedsubspacerepresentation
AT michaelkng hyperspectralmixednoiseremovalbyinlineformulatexmathnotationlatexell1texmathinlineformulanormbasedsubspacerepresentation