A K-SVD Based Compressive Sensing Method for Visual Chaotic Image Encryption

The visually secure image encryption scheme is an effective image encryption method, which embeds an encrypted image into a visual image to realize a secure and secret image transfer. This paper proposes a merging compression and encryption chaos image visual encryption scheme. First, a dictionary m...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-04, Vol.11 (7), p.1658
Main Authors: Xie, Zizhao, Sun, Jingru, Tang, Yiping, Tang, Xin, Simpson, Oluyomi, Sun, Yichuang
Format: Article
Language:English
Subjects:
Algorithms
chaos
Chaos theory
compressive sensing
Data encryption
Dictionaries
Efficiency
Encryption
Image compression
image encryption
Image quality
Image restoration
K-SVD
Mathematics
Security
Sensors
Singular value decomposition
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Summary:The visually secure image encryption scheme is an effective image encryption method, which embeds an encrypted image into a visual image to realize a secure and secret image transfer. This paper proposes a merging compression and encryption chaos image visual encryption scheme. First, a dictionary matrix D is constructed with the plain image by the K-SVD algorithm, which can encrypt the image while sparsing. Second, an improved Zeraoulia-Sprott chaotic map and logistic map are employed to generate three S-Boxes, which are used to complete scrambling, diffusion, and embedding operations. The secret keys of this scheme contain the initial value of the chaotic system and the dictionary matrix D, which significantly increases the key space, plain image correlation, and system security. Simulation shows the proposed image encryption scheme can resist most attacks and, compared with the existing scheme, the proposed scheme has a larger key space, higher plain image correlation, and better image restoration quality, improving image encryption processing efficiency and security.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11071658