Image compression-encryption method based on two-dimensional sparse recovery and chaotic system

Abstract In this paper, we propose an image compression-encryption method based on two-dimensional (2D) sparse representation and chaotic system. In the first step of this method, the input image is extended in a transform domain to obtain a sparse representation. To achieve better performance of im...

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Autor principal:	Aboozar Ghaffari
Formato:	article
Lenguaje:	EN
Publicado:	Nature Portfolio 2021
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/c3c0cb061e284399971e1f4b8ab9d5aa
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spelling	oai:doaj.org-article:c3c0cb061e284399971e1f4b8ab9d5aa2021-12-02T15:23:02ZImage compression-encryption method based on two-dimensional sparse recovery and chaotic system10.1038/s41598-020-79747-42045-2322https://doaj.org/article/c3c0cb061e284399971e1f4b8ab9d5aa2021-01-01T00:00:00Zhttps://doi.org/10.1038/s41598-020-79747-4https://doaj.org/toc/2045-2322Abstract In this paper, we propose an image compression-encryption method based on two-dimensional (2D) sparse representation and chaotic system. In the first step of this method, the input image is extended in a transform domain to obtain a sparse representation. To achieve better performance of image compression by 2D sparse recovery, the sparse representation is scrambled via a chaotic confusion. This step helps the satisfaction of the uniqueness conditions for sparse recovery, and the security level of encryption is increased. Then, two orthogonal measurement matrices are generated using the chaotic time series. The singular value decomposition is used to compress the sparse scrambled representation in two dimensions. Finally, to reduce the correlation between adjacent pixels in the compressed matrix, and obtain a uniform distribution in the encrypted image, a compressed scrambling matrix based on chaotic confusion is used. Then, XOR operation is applied for final encryption. In the decryption process, to improve the compression efficiency, the total variation constraint is added to the 2D sparse recovery problem based on the smoothed norm. The simulation results demonstrate the satisfying performance of the proposed method for different compression ratios. Security analysis describes the effectiveness of the proposed encryption approach.Aboozar GhaffariNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-19 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Aboozar Ghaffari Image compression-encryption method based on two-dimensional sparse recovery and chaotic system
description	Abstract In this paper, we propose an image compression-encryption method based on two-dimensional (2D) sparse representation and chaotic system. In the first step of this method, the input image is extended in a transform domain to obtain a sparse representation. To achieve better performance of image compression by 2D sparse recovery, the sparse representation is scrambled via a chaotic confusion. This step helps the satisfaction of the uniqueness conditions for sparse recovery, and the security level of encryption is increased. Then, two orthogonal measurement matrices are generated using the chaotic time series. The singular value decomposition is used to compress the sparse scrambled representation in two dimensions. Finally, to reduce the correlation between adjacent pixels in the compressed matrix, and obtain a uniform distribution in the encrypted image, a compressed scrambling matrix based on chaotic confusion is used. Then, XOR operation is applied for final encryption. In the decryption process, to improve the compression efficiency, the total variation constraint is added to the 2D sparse recovery problem based on the smoothed norm. The simulation results demonstrate the satisfying performance of the proposed method for different compression ratios. Security analysis describes the effectiveness of the proposed encryption approach.
format	article
author	Aboozar Ghaffari
author_facet	Aboozar Ghaffari
author_sort	Aboozar Ghaffari
title	Image compression-encryption method based on two-dimensional sparse recovery and chaotic system
title_short	Image compression-encryption method based on two-dimensional sparse recovery and chaotic system
title_full	Image compression-encryption method based on two-dimensional sparse recovery and chaotic system
title_fullStr	Image compression-encryption method based on two-dimensional sparse recovery and chaotic system
title_full_unstemmed	Image compression-encryption method based on two-dimensional sparse recovery and chaotic system
title_sort	image compression-encryption method based on two-dimensional sparse recovery and chaotic system
publisher	Nature Portfolio
publishDate	2021
url	https://doaj.org/article/c3c0cb061e284399971e1f4b8ab9d5aa
work_keys_str_mv	AT aboozarghaffari imagecompressionencryptionmethodbasedontwodimensionalsparserecoveryandchaoticsystem
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Image compression-encryption method based on two-dimensional sparse recovery and chaotic system

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