An Efficient Plaintext-Related Chaotic Image Encryption Scheme Based on Compressive Sensing

With the development of mobile communication network, especially 5G today and 6G in the future, the security and privacy of digital images are important in network applications. Meanwhile, high resolution images will take up a lot of bandwidth and storage space in the cloud applications. Facing the demands, an efficient and secure plaintext-related chaotic image encryption scheme is proposed based on compressive sensing for achieving the compression and encryption simultaneously. In the proposed scheme, the internal keys for controlling the whole process of compression and encryption is first generated by plain image and initial key. Subsequently, discrete wavelets transform is used in order to convert the plain image to the coefficient matrix. After that, the permutation processing, which is controlled by the two-dimensional Sine improved Logistic iterative chaotic map (2D-SLIM), was done on the coefficient matrix in order to make the matrix energy dispersive. Furthermore, a plaintext related compressive sensing has been done utilizing a measurement matrix generated by 2D-SLIM. In order to make the cipher image lower correlation and distribute uniform, measurement results quantified the 0∼255 and the permutation and diffusion operation is done under the controlling by two-dimensional Logistic-Sine-coupling map (2D-LSCM). Finally, some common compression and security performance analysis methods are used to test our scheme. The test and comparison results shown in our proposed scheme have both excellent security and compression performance when compared with other recent works, thus ensuring the digital image application in the network.

[1]  Chengzhi Deng,et al.  An image compression and encryption algorithm based on chaotic system and compressive sensing , 2019, Optics & Laser Technology.

[2]  Robert A. J. Matthews,et al.  On the Derivation of a "Chaotic" Encryption Algorithm , 1989, Cryptologia.

[3]  Ebrahim Zarei Zefreh,et al.  An image encryption scheme based on a hybrid model of DNA computing, chaotic systems and hash functions , 2020, Multimedia Tools and Applications.

[4]  Zhen Li,et al.  A Novel Chaos-Based Color Image Encryption Scheme Using Bit-Level Permutation , 2020, Symmetry.

[5]  Jiming Zheng,et al.  An efficient image encryption algorithm based on multi chaotic system and random DAN coding , 2020, Multimedia Tools and Applications.

[6]  Yiran Chen,et al.  An image encryption algorithm based on chaotic system and compressive sensing , 2018, Signal Process..

[7]  Hejiao Huang,et al.  2D Logistic-Sine-coupling map for image encryption , 2018, Signal Process..

[8]  Liangpei Zhang,et al.  Compressed Sensing-Based Inpainting of Aqua Moderate Resolution Imaging Spectroradiometer Band 6 Using Adaptive Spectrum-Weighted Sparse Bayesian Dictionary Learning , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[9]  David L Donoho,et al.  Compressed sensing , 2006, IEEE Transactions on Information Theory.

[10]  S. Agaian,et al.  NPCR and UACI Randomness Tests for Image Encryption , 2011 .

[11]  Daniel Curiac,et al.  Chaos-Based Cryptography: End of the Road? , 2007, The International Conference on Emerging Security Information, Systems, and Technologies (SECUREWARE 2007).

[12]  Yong Zhang,et al.  The unified image encryption algorithm based on chaos and cubic S-Box , 2018, Inf. Sci..

[13]  Anand B. Joshi,et al.  Triple color image encryption based on 2D multiple parameter fractional discrete Fourier transform and 3D Arnold transform , 2020 .

[14]  Congxu Zhu,et al.  A new image compression-encryption scheme based on compressive sensing and cyclic shift , 2019, Multimedia Tools and Applications.

[15]  Guanrong Chen,et al.  On the Dynamical Degradation of Digital Piecewise Linear Chaotic Maps , 2005, Int. J. Bifurc. Chaos.

[16]  Yiran Chen,et al.  A visually secure image encryption scheme based on compressive sensing , 2017, Signal Process..

[17]  R.G. Baraniuk,et al.  Compressive Sensing [Lecture Notes] , 2007, IEEE Signal Processing Magazine.

[18]  Akif Akgul,et al.  S-Box Based Image Encryption Application Using a Chaotic System without Equilibrium , 2019, Applied Sciences.

[19]  Syeda Iram Batool,et al.  A novel image encryption scheme based on Arnold scrambling and Lucas series , 2019, Multimedia Tools and Applications.

[20]  Yuantao Gu,et al.  A Stochastic Gradient Approach on Compressive Sensing Signal Reconstruction Based on Adaptive Filtering Framework , 2010, IEEE Journal of Selected Topics in Signal Processing.

[21]  Xi Zhang,et al.  A Novel Image Encryption Scheme Based on Nonuniform Sampling in Block Compressive Sensing , 2019, IEEE Access.

[22]  Yiran Chen,et al.  An efficient chaos-based image compression and encryption scheme using block compressive sensing and elementary cellular automata , 2018, Neural Computing and Applications.

[23]  Hongjun Liu,et al.  Chaos-based color image block encryption scheme using S-box , 2014 .

[24]  S. Malarvizhi,et al.  A novel encrypted compressive sensing of images based on fractional order hyper chaotic Chen system and DNA operations , 2019, Multimedia Tools and Applications.

[25]  Michael Elad,et al.  Optimized Projections for Compressed Sensing , 2007, IEEE Transactions on Signal Processing.

[26]  Heng Tao Shen,et al.  Impulsive synchronization of coupled delayed neural networks with actuator saturation and its application to image encryption , 2020, Neural Networks.

[27]  Sos S. Agaian,et al.  Local Shannon entropy measure with statistical tests for image randomness , 2013, Inf. Sci..

[28]  Weiqiang Tan,et al.  An Iterative Adaptive Dictionary Learning Approach for Multiple Snapshot DOA Estimation , 2018, 2018 14th IEEE International Conference on Signal Processing (ICSP).

[29]  Yu Wang,et al.  A novel chaotic algorithm for image encryption utilizing one-time pad based on pixel level and DNA level , 2020 .

[30]  Zhiliang Zhu,et al.  An image encryption algorithm based on compound homogeneous hyper-chaotic system , 2017, Nonlinear Dynamics.

[31]  E. Lorenz Deterministic nonperiodic flow , 1963 .

[32]  Zhen Li,et al.  A Novel Chaos-Based Image Encryption Scheme by Using Randomly DNA Encode and Plaintext Related Permutation , 2020, Applied Sciences.

[33]  Kehui Sun,et al.  A fast image encryption algorithm based on compressive sensing and hyperchaotic map , 2019, Optics and Lasers in Engineering.

[34]  Ling Zhou,et al.  A Memristive Hyperchaotic Multiscroll Jerk System with Controllable Scroll Numbers , 2017, Int. J. Bifurc. Chaos.

[35]  Zhen Li,et al.  A novel plaintext-related image encryption scheme using hyper-chaotic system , 2018, Nonlinear Dynamics.