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

被引:71
作者
Huang, Xiaoling [1 ]
Dong, Youxia [1 ]
Ye, Guodong [1 ]
Shi, Yang [2 ]
机构
[1] Guangdong Ocean Univ, Fac Math & Comp Sci, Zhanjiang 524088, Peoples R China
[2] Tongji Univ, Sch Software Engn, Shanghai 200092, Peoples R China
基金
中国国家自然科学基金;
关键词
image encryption algorithm; compressive sensing; integer wavelet transform; Hadamard matrix;
D O I
10.1007/s11704-022-1419-8
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
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.
引用
收藏
页数:15
相关论文
共 45 条
[1]   Image encryption: Generating visually meaningful encrypted images [J].
Bao, Long ;
Zhou, Yicong .
INFORMATION SCIENCES, 2015, 324 :197-207
[2]   An efficient image encryption scheme for TMIS based on elliptic curve integrated encryption and linear cryptography [J].
Benssalah, Mustapha ;
Rhaskali, Yesser ;
Drouiche, Karim .
MULTIMEDIA TOOLS AND APPLICATIONS, 2021, 80 (02) :2081-2107
[3]   Color image compression and encryption scheme based on compressive sensing and double random encryption strategy [J].
Chai, Xiuli ;
Bi, Jianqiang ;
Gan, Zhihua ;
Liu, Xianxing ;
Zhang, Yushu ;
Chen, Yiran .
SIGNAL PROCESSING, 2020, 176
[4]   An efficient visually meaningful image compression and encryption scheme based on compressive sensing and dynamic LSB embedding [J].
Chai, Xiuli ;
Wu, Haiyang ;
Gan, Zhihua ;
Zhang, Yushu ;
Chen, Yiran ;
Nixon, Kent W. .
OPTICS AND LASERS IN ENGINEERING, 2020, 124
[5]   A visually secure image encryption scheme based on compressive sensing [J].
Chai, Xiuli ;
Gan, Zhihua ;
Chen, Yiran ;
Zhang, Yushu .
SIGNAL PROCESSING, 2017, 134 :35-51
[6]   A symmetric image encryption scheme based on 3D chaotic cat maps [J].
Chen, GR ;
Mao, YB ;
Chui, CK .
CHAOS SOLITONS & FRACTALS, 2004, 21 (03) :749-761
[7]   An efficient general data hiding scheme based on image interpolation [J].
Chen, Yong-qing ;
Sun, Wei-jiao ;
Li, Li-yao ;
Chang, Chin-Chen ;
Wang, Xu .
JOURNAL OF INFORMATION SECURITY AND APPLICATIONS, 2020, 54 (54)
[8]   A novel hyper-chaotic image encryption scheme based on quantum genetic algorithm and compressive sensing [J].
Cheng, Guangfeng ;
Wang, Chunhua ;
Xu, Cong .
MULTIMEDIA TOOLS AND APPLICATIONS, 2020, 79 (39-40) :29243-29263
[9]   Selective image encryption method based on dynamic DNA coding and new chaotic map [J].
Cun, Qiqi ;
Tong, Xiaojun ;
Wang, Zhu ;
Zhang, Miao .
OPTIK, 2021, 243
[10]   Image encryption algorithm based on 2D hyperchaotic map [J].
Gao, Xiaohong .
OPTICS AND LASER TECHNOLOGY, 2021, 142