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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Vydáno v:	Frontiers of Computer Science Ročník 17; číslo 3; s. 173804
Hlavní autoři:	HUANG, Xiaoling, DONG, Youxia, YE, Guodong, SHI, Yang
Médium:	Journal Article
Jazyk:	angličtina
Vydáno:	Beijing Higher Education Press 01.06.2023 Springer Nature B.V
Témata:	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
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Abstract	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.
AbstractList	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.
ArticleNumber	173804
Author	HUANG, Xiaoling DONG, Youxia SHI, Yang YE, Guodong
Author_xml	– sequence: 1 givenname: Xiaoling surname: HUANG fullname: HUANG, Xiaoling organization: Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China – sequence: 2 givenname: Youxia surname: DONG fullname: DONG, Youxia organization: Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China – sequence: 3 givenname: Guodong surname: YE fullname: YE, Guodong email: guodongye@hotmail.com organization: Faculty of Mathematics and Computer Science, Guangdong Ocean University, Zhanjiang 524088, China – sequence: 4 givenname: Yang surname: SHI fullname: SHI, Yang organization: School of Software Engineering, Tongji University, Shanghai 200092, China
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Snippet	A new meaningful image encryption algorithm based on compressive sensing (CS) and integer wavelet transformation (IWT) is proposed in this study. First of all,...
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SubjectTerms	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
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Title	Meaningful image encryption algorithm based on compressive sensing and integer wavelet transform
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