Nonconvex Low Rank Approximation With Phase Congruency Regularization for Mixed Noise Removal

Mixed noise removal from a natural image is a challenging task since the complex noise distribution usually is inestimable. Many noise removal methods based on the low rank approximation have an excellent image denoising performance and are effective for recovering the images corrupted by Gaussian n...

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Main Authors: Luo Xuegang, Lv Junrui, Wang Juan
Format: Article
Language:English
Published: IEEE 2019-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8930496/
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author Luo Xuegang
Lv Junrui
Wang Juan
author_facet Luo Xuegang
Lv Junrui
Wang Juan
author_sort Luo Xuegang
collection DOAJ
description Mixed noise removal from a natural image is a challenging task since the complex noise distribution usually is inestimable. Many noise removal methods based on the low rank approximation have an excellent image denoising performance and are effective for recovering the images corrupted by Gaussian noise. These methods based on the additive white Gaussian noise(AWGN) model are sensitive to the outliers and non-Gaussian noise, such as the salt-and-pepper impulse noise (SPIN) and random valued impulse noise (RVIN). Such methods for mixed noise removal, however, are less effective in preserving image structures and tend to undesired staircase artifacts. This paper presents a novel Nonconvex Low Rank Model with Phase congruency and overlapping Group sparsity regularization (NLRM-PG) for mixed noise removal. Moreover, an efficient optimization algorithm under the alternating direction method of multipliers and majorization minimization framework is proposed to solve the NLRM-PG model. We demonstrate that the proposed method is effective for preserving local irregular structures and it reduces staircase artifacts with the two types of mixture noise, namely, AWGN+SPIN and AWGN+RVIN. Both qualitative and quantitative experiment results on synthetic noisy images and real noisy images illustrate that the proposed method can remove mixture noise in images more efficiently than the existing methods can do. And the results also outperform those obtained by using the competing state-of-the-art methods, particularly for the removal of high-density impulse noise.
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spelling doaj.art-8caed30ddf3442b780253b4d03cc651b2022-12-21T19:51:50ZengIEEEIEEE Access2169-35362019-01-01717953817955110.1109/ACCESS.2019.29588218930496Nonconvex Low Rank Approximation With Phase Congruency Regularization for Mixed Noise RemovalLuo Xuegang0https://orcid.org/0000-0001-8240-5199Lv Junrui1https://orcid.org/0000-0002-6796-3819Wang Juan2https://orcid.org/0000-0003-2635-8804School of Mathematics and Computer Science, Panzhihua University, Panzhihua, ChinaSchool of Mathematics and Computer Science, Panzhihua University, Panzhihua, ChinaCollege of Computer Science, China West Normal University, Nanchong, ChinaMixed noise removal from a natural image is a challenging task since the complex noise distribution usually is inestimable. Many noise removal methods based on the low rank approximation have an excellent image denoising performance and are effective for recovering the images corrupted by Gaussian noise. These methods based on the additive white Gaussian noise(AWGN) model are sensitive to the outliers and non-Gaussian noise, such as the salt-and-pepper impulse noise (SPIN) and random valued impulse noise (RVIN). Such methods for mixed noise removal, however, are less effective in preserving image structures and tend to undesired staircase artifacts. This paper presents a novel Nonconvex Low Rank Model with Phase congruency and overlapping Group sparsity regularization (NLRM-PG) for mixed noise removal. Moreover, an efficient optimization algorithm under the alternating direction method of multipliers and majorization minimization framework is proposed to solve the NLRM-PG model. We demonstrate that the proposed method is effective for preserving local irregular structures and it reduces staircase artifacts with the two types of mixture noise, namely, AWGN+SPIN and AWGN+RVIN. Both qualitative and quantitative experiment results on synthetic noisy images and real noisy images illustrate that the proposed method can remove mixture noise in images more efficiently than the existing methods can do. And the results also outperform those obtained by using the competing state-of-the-art methods, particularly for the removal of high-density impulse noise.https://ieeexplore.ieee.org/document/8930496/Mixed noise removalnonconvex low rank approximationoverlapping group sparsityphase congruency
spellingShingle Luo Xuegang
Lv Junrui
Wang Juan
Nonconvex Low Rank Approximation With Phase Congruency Regularization for Mixed Noise Removal
IEEE Access
Mixed noise removal
nonconvex low rank approximation
overlapping group sparsity
phase congruency
title Nonconvex Low Rank Approximation With Phase Congruency Regularization for Mixed Noise Removal
title_full Nonconvex Low Rank Approximation With Phase Congruency Regularization for Mixed Noise Removal
title_fullStr Nonconvex Low Rank Approximation With Phase Congruency Regularization for Mixed Noise Removal
title_full_unstemmed Nonconvex Low Rank Approximation With Phase Congruency Regularization for Mixed Noise Removal
title_short Nonconvex Low Rank Approximation With Phase Congruency Regularization for Mixed Noise Removal
title_sort nonconvex low rank approximation with phase congruency regularization for mixed noise removal
topic Mixed noise removal
nonconvex low rank approximation
overlapping group sparsity
phase congruency
url https://ieeexplore.ieee.org/document/8930496/
work_keys_str_mv AT luoxuegang nonconvexlowrankapproximationwithphasecongruencyregularizationformixednoiseremoval
AT lvjunrui nonconvexlowrankapproximationwithphasecongruencyregularizationformixednoiseremoval
AT wangjuan nonconvexlowrankapproximationwithphasecongruencyregularizationformixednoiseremoval