Image compressive sensing recovery based on weighted structure group sparse representation

Non-local similarity prior has been widely paid attention to efficiently improve image recovery quality.To fur-ther improve the recovered image quality for compressive sensing (CS),an image compressive sensing recovery method based on reweighted structure group sparse representation (WSGSR) was prop...

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Main Authors: Jia LI, Zhi-rong GAO, Cheng-yi XIONG, Cheng ZHOU
Format: Article
Language:zho
Published: Editorial Department of Journal on Communications 2017-02-01
Series:Tongxin xuebao
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Online Access:http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017041/
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author Jia LI
Zhi-rong GAO
Cheng-yi XIONG
Cheng ZHOU
author_facet Jia LI
Zhi-rong GAO
Cheng-yi XIONG
Cheng ZHOU
author_sort Jia LI
collection DOAJ
description Non-local similarity prior has been widely paid attention to efficiently improve image recovery quality.To fur-ther improve the recovered image quality for compressive sensing (CS),an image compressive sensing recovery method based on reweighted structure group sparse representation (WSGSR) was proposed.<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub> </math></inline-formula>-norm of WSGSR of image non-local similar patch group was used as a regularization term to optimize reconstruction,which achieved well reserving image high-frequency detail with less loss of image low-frequency component,and thus considerably improve the recon-structed image quality.A reweighted soft thresholding shrinkage method was deduced to achieve optimization solution,in which the significant coefficient with large magnitude value was shrunk by a small threshold,while the non-significant coefficient with small magnitude value was shrunk by a relative large threshold.Experimental results comparison demon-strate the effectiveness of the proposed method.
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institution Kabale University
issn 1000-436X
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publisher Editorial Department of Journal on Communications
record_format Article
series Tongxin xuebao
spelling doaj-art-07777753fbb94e1ebfe10e181555a6db2025-01-14T07:11:46ZzhoEditorial Department of Journal on CommunicationsTongxin xuebao1000-436X2017-02-013819620259707678Image compressive sensing recovery based on weighted structure group sparse representationJia LIZhi-rong GAOCheng-yi XIONGCheng ZHOUNon-local similarity prior has been widely paid attention to efficiently improve image recovery quality.To fur-ther improve the recovered image quality for compressive sensing (CS),an image compressive sensing recovery method based on reweighted structure group sparse representation (WSGSR) was proposed.<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML"> <msub> <mi mathvariant="script">l</mi> <mn>1</mn> </msub> </math></inline-formula>-norm of WSGSR of image non-local similar patch group was used as a regularization term to optimize reconstruction,which achieved well reserving image high-frequency detail with less loss of image low-frequency component,and thus considerably improve the recon-structed image quality.A reweighted soft thresholding shrinkage method was deduced to achieve optimization solution,in which the significant coefficient with large magnitude value was shrunk by a small threshold,while the non-significant coefficient with small magnitude value was shrunk by a relative large threshold.Experimental results comparison demon-strate the effectiveness of the proposed method.http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017041/compressive sensingimage reconstructionweighted structure group sparse representationweighted soft thresholding shrinkage
spellingShingle Jia LI
Zhi-rong GAO
Cheng-yi XIONG
Cheng ZHOU
Image compressive sensing recovery based on weighted structure group sparse representation
Tongxin xuebao
compressive sensing
image reconstruction
weighted structure group sparse representation
weighted soft thresholding shrinkage
title Image compressive sensing recovery based on weighted structure group sparse representation
title_full Image compressive sensing recovery based on weighted structure group sparse representation
title_fullStr Image compressive sensing recovery based on weighted structure group sparse representation
title_full_unstemmed Image compressive sensing recovery based on weighted structure group sparse representation
title_short Image compressive sensing recovery based on weighted structure group sparse representation
title_sort image compressive sensing recovery based on weighted structure group sparse representation
topic compressive sensing
image reconstruction
weighted structure group sparse representation
weighted soft thresholding shrinkage
url http://www.joconline.com.cn/zh/article/doi/10.11959/j.issn.1000-436x.2017041/
work_keys_str_mv AT jiali imagecompressivesensingrecoverybasedonweightedstructuregroupsparserepresentation
AT zhironggao imagecompressivesensingrecoverybasedonweightedstructuregroupsparserepresentation
AT chengyixiong imagecompressivesensingrecoverybasedonweightedstructuregroupsparserepresentation
AT chengzhou imagecompressivesensingrecoverybasedonweightedstructuregroupsparserepresentation