Remote Sensing Image Denoising via Low-Rank Tensor Approximation and Robust Noise Modeling

Noise removal is a fundamental problem in remote sensing image processing. Most existing methods, however, have not yet attained sufficient robustness in practice, due to more or less neglecting the intrinsic structures of remote sensing images and/or underestimating the complexity of realistic nois...

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Main Authors: Tian-Hui Ma, Zongben Xu, Deyu Meng
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Remote Sensing
Subjects:
Online Access:https://www.mdpi.com/2072-4292/12/8/1278
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spelling doaj-d0dd181fe65f44d8a52a065dc4b8d9be2020-11-25T02:27:24ZengMDPI AGRemote Sensing2072-42922020-04-01121278127810.3390/rs12081278Remote Sensing Image Denoising via Low-Rank Tensor Approximation and Robust Noise ModelingTian-Hui Ma0Zongben Xu1Deyu Meng2School of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaSchool of Mathematics and Statistics, Xi’an Jiaotong University, Xi’an 710049, ChinaNoise removal is a fundamental problem in remote sensing image processing. Most existing methods, however, have not yet attained sufficient robustness in practice, due to more or less neglecting the intrinsic structures of remote sensing images and/or underestimating the complexity of realistic noise. In this paper, we propose a new remote sensing image denoising method by integrating intrinsic image characterization and robust noise modeling. Specifically, we use low-Tucker-rank tensor approximation to capture the global multi-factor correlation within the underlying image, and adopt a non-identical and non-independent distributed mixture of Gaussians (non-i.i.d. MoG) assumption to encode the statistical configurations of the embedded noise. Then, we incorporate the proposed image and noise priors into a full Bayesian generative model and design an efficient variational Bayesian algorithm to infer all involved variables by closed-form equations. Moreover, adaptive strategies for the selection of hyperparameters are further developed to make our algorithm free from burdensome hyperparameter-tuning. Extensive experiments on both simulated and real multispectral/hyperspectral images demonstrate the superiority of the proposed method over the compared state-of-the-art ones.https://www.mdpi.com/2072-4292/12/8/1278remote sensing image denoisinglow-rank tensor approximationnoise modelingvariational inference
collection DOAJ
language English
format Article
sources DOAJ
author Tian-Hui Ma
Zongben Xu
Deyu Meng
spellingShingle Tian-Hui Ma
Zongben Xu
Deyu Meng
Remote Sensing Image Denoising via Low-Rank Tensor Approximation and Robust Noise Modeling
Remote Sensing
remote sensing image denoising
low-rank tensor approximation
noise modeling
variational inference
author_facet Tian-Hui Ma
Zongben Xu
Deyu Meng
author_sort Tian-Hui Ma
title Remote Sensing Image Denoising via Low-Rank Tensor Approximation and Robust Noise Modeling
title_short Remote Sensing Image Denoising via Low-Rank Tensor Approximation and Robust Noise Modeling
title_full Remote Sensing Image Denoising via Low-Rank Tensor Approximation and Robust Noise Modeling
title_fullStr Remote Sensing Image Denoising via Low-Rank Tensor Approximation and Robust Noise Modeling
title_full_unstemmed Remote Sensing Image Denoising via Low-Rank Tensor Approximation and Robust Noise Modeling
title_sort remote sensing image denoising via low-rank tensor approximation and robust noise modeling
publisher MDPI AG
series Remote Sensing
issn 2072-4292
publishDate 2020-04-01
description Noise removal is a fundamental problem in remote sensing image processing. Most existing methods, however, have not yet attained sufficient robustness in practice, due to more or less neglecting the intrinsic structures of remote sensing images and/or underestimating the complexity of realistic noise. In this paper, we propose a new remote sensing image denoising method by integrating intrinsic image characterization and robust noise modeling. Specifically, we use low-Tucker-rank tensor approximation to capture the global multi-factor correlation within the underlying image, and adopt a non-identical and non-independent distributed mixture of Gaussians (non-i.i.d. MoG) assumption to encode the statistical configurations of the embedded noise. Then, we incorporate the proposed image and noise priors into a full Bayesian generative model and design an efficient variational Bayesian algorithm to infer all involved variables by closed-form equations. Moreover, adaptive strategies for the selection of hyperparameters are further developed to make our algorithm free from burdensome hyperparameter-tuning. Extensive experiments on both simulated and real multispectral/hyperspectral images demonstrate the superiority of the proposed method over the compared state-of-the-art ones.
topic remote sensing image denoising
low-rank tensor approximation
noise modeling
variational inference
url https://www.mdpi.com/2072-4292/12/8/1278
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AT zongbenxu remotesensingimagedenoisingvialowranktensorapproximationandrobustnoisemodeling
AT deyumeng remotesensingimagedenoisingvialowranktensorapproximationandrobustnoisemodeling
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