Meaningful image encryption algorithm based on compressive sensing and integer wavelet transform

A new meaningful image encryption algorithm based on compressive sensing (CS) and integer wavelet transformation (IWT) is proposed in this study. First of all, the initial values of chaotic system are encrypted by RSA algorithm, and then they are open as public keys. To make the chaotic sequence mor...

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Bibliographic Details
Published in:Frontiers of Computer Science Vol. 17; no. 3; p. 173804
Main Authors: HUANG, Xiaoling, DONG, Youxia, YE, Guodong, SHI, Yang
Format: Journal Article
Language:English
Published: Beijing Higher Education Press 01.06.2023
Springer Nature B.V
Subjects:
Algorithms
Chaos theory
compressive sensing
Computer Science
Cryptography
Discrete Wavelet Transform
Encryption
Entropy (Information theory)
Hadamard matrix
image encryption algorithm
Initial conditions
integer wavelet transform
Integers
Mathematical analysis
Research Article
Synchronism
Wavelet transforms
image encryption algorithm
Hadamard matrix
integer wavelet transform
compressive sensing
ISSN:2095-2228, 2095-2236
Online Access:Get full text
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Summary:A new meaningful image encryption algorithm based on compressive sensing (CS) and integer wavelet transformation (IWT) is proposed in this study. First of all, the initial values of chaotic system are encrypted by RSA algorithm, and then they are open as public keys. To make the chaotic sequence more random, a mathematical model is constructed to improve the random performance. Then, the plain image is compressed and encrypted to obtain the secret image. Secondly, the secret image is inserted with numbers zero to extend its size same to the plain image. After applying IWT to the carrier image and discrete wavelet transformation (DWT) to the inserted image, the secret image is embedded into the carrier image. Finally, a meaningful carrier image embedded with secret plain image can be obtained by inverse IWT. Here, the measurement matrix is built by both chaotic system and Hadamard matrix, which not only retains the characteristics of Hadamard matrix, but also has the property of control and synchronization of chaotic system. Especially, information entropy of the plain image is employed to produce the initial conditions of chaotic system. As a result, the proposed algorithm can resist known-plaintext attack (KPA) and chosen-plaintext attack (CPA). By the help of asymmetric cipher algorithm RSA, no extra transmission is needed in the communication. Experimental simulations show that the normalized correlation (NC) values between the host image and the cipher image are high. That is to say, the proposed encryption algorithm is imperceptible and has good hiding effect.
Bibliography:image encryption algorithm
Hadamard matrix
Document received on :2021-07-30
integer wavelet transform
compressive sensing
Document accepted on :2022-02-16
ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2095-2228
2095-2236
DOI:10.1007/s11704-022-1419-8