A novel lossless color image encryption scheme using 2 D DWT and 6 D hyperchaotic system

This paper proposes a new lossless encryption algorithm for color images based on a six-dimensional (6D) hyperchaotic system and the two-dimensional (2D) discrete wavelet transform (DWT). Different from the current image encryption methods, our image encryption scheme is constructed using the 2D DWT and 6D hyperchaotic system in both the frequency domain and the spatial domain, where the key streams depend on not only the hyperchaotic system but the plain-image. In the presented algorithm, the plain-image is firstly divided into four image sub-bands by means of the 2D DWT. Secondly, the sub-bands are permutated by a key stream, and then the size of them is decreased by a constant factor. Thirdly, the 2D inverse DWT is employed to reconstruct an intermediate image by the four encrypted image sub-bands. Finally, to further enhance the security, the pixel values of the intermediate image are modified by using another key stream. Experimental results and security analysis demonstrate that the proposed algorithm has a high security, fast speed and can resist various attacks.

[1]  Xinbo Gao,et al.  Content-adaptive reliable robust lossless data embedding , 2012, Neurocomputing.

[2]  Wei Zhang,et al.  Image encryption based on three-dimensional bit matrix permutation , 2016, Signal Process..

[3]  Ailing Tian,et al.  Single-channel color image encryption using phase retrieve algorithm in fractional Fourier domain , 2013 .

[4]  Minghui Du,et al.  A symmetrical image encryption scheme in wavelet and time domain , 2015, Commun. Nonlinear Sci. Numer. Simul..

[5]  Xiaojun Tong,et al.  Image encryption scheme based on 3D baker with dynamical compound chaotic sequence cipher generator , 2009, Signal Process..

[6]  John T. Sheridan,et al.  A review of optical image encryption techniques , 2014 .

[7]  Somaya Al-Máadeed,et al.  A New Chaos-Based Image-Encryption and Compression Algorithm , 2012, J. Electr. Comput. Eng..

[8]  Junwei Zhou,et al.  A block chaotic image encryption scheme based on self-adaptive modelling , 2014, Appl. Soft Comput..

[9]  Sergej Celikovský,et al.  Hyperchaotic encryption based on multi-scroll piecewise linear systems , 2015, Appl. Math. Comput..

[10]  Jun-jie Chen,et al.  A chaos-based digital image encryption scheme with an improved diffusion strategy. , 2012, Optics express.

[11]  Stéphane Mallat,et al.  A Theory for Multiresolution Signal Decomposition: The Wavelet Representation , 1989, IEEE Trans. Pattern Anal. Mach. Intell..

[12]  Syed Twareque Ali,et al.  Discrete Wavelet Transforms , 2014 .

[13]  Malrey Lee,et al.  A hybrid genetic algorithm and chaotic function model for image encryption , 2012 .

[14]  Giuseppe Grassi,et al.  Multi-wing hyperchaotic attractors from coupled Lorenz systems , 2009 .

[15]  Chuan-Kuei Huang,et al.  Multi chaotic systems based pixel shuffle for image encryption , 2009 .

[16]  Rhouma Rhouma,et al.  Cryptanalysis of a new image encryption algorithm based on hyper-chaos , 2008 .

[17]  Ruisong Ye,et al.  A novel chaos-based image encryption scheme with an efficient permutation-diffusion mechanism , 2011 .

[18]  Xuelong Li,et al.  A local Tchebichef moments-based robust image watermarking , 2009, Signal Process..

[19]  Xingyuan Wang,et al.  Color image encryption using Choquet fuzzy integral and hyper chaotic system , 2013 .

[20]  Shiguo Lian,et al.  A novel color image encryption algorithm based on DNA sequence operation and hyper-chaotic system , 2012, J. Syst. Softw..

[21]  Safya Belghith,et al.  OCML-based colour image encryption , 2009 .

[22]  Lin Teng,et al.  A novel colour image encryption algorithm based on chaos , 2012, Signal Process..

[23]  R. M. López-Gutiérrez,et al.  A RGB image encryption algorithm based on total plain image characteristics and chaos , 2015, Signal Process..

[24]  Abdurahman Kadir,et al.  Color image encryption using skew tent map and hyper chaotic system of 6th-order CNN , 2014 .

[25]  Yicong Zhou,et al.  2D Sine Logistic modulation map for image encryption , 2015, Inf. Sci..

[26]  Hongjun Liu,et al.  Asymmetric color image encryption scheme using 2D discrete-time map , 2015, Signal Process..

[27]  Christine Guillemot,et al.  Oriented Wavelet Transform for Image Compression and Denoising , 2006, IEEE Transactions on Image Processing.

[28]  Jun Lang,et al.  Color image encryption based on color blend and chaos permutation in the reality-preserving multiple-parameter fractional Fourier transform domain , 2015 .

[29]  Qiang Zhang,et al.  A novel image fusion encryption algorithm based on DNA sequence operation and hyper-chaotic system , 2013 .

[30]  Hung-I Hsiao,et al.  Fingerprint image cryptography based on multiple chaotic systems , 2015, Signal Process..

[31]  Zengqiang Chen,et al.  A new image encryption algorithm based on hyper-chaos , 2008 .

[32]  A. Haar.  Zur Theorie der orthogonalen Funktionensysteme , 1910 .

[33]  Dezhao Kong,et al.  Multiple-image encryption based on optical wavelet transform and multichannel fractional Fourier transform , 2014 .

[34]  Gonzalo Álvarez,et al.  Some Basic Cryptographic Requirements for Chaos-Based Cryptosystems , 2003, Int. J. Bifurc. Chaos.

[35]  Iain E. G. Richardson,et al.  H.264 and MPEG-4 Video Compression: Video Coding for Next-Generation Multimedia , 2003 .

[36]  Joseph Zambreno,et al.  The secure wavelet transform , 2010, Journal of Real-Time Image Processing.

[37]  Kamlesh Gupta,et al.  Novel Approach for fast Compressed Hybrid color image Cryptosystem , 2012, Adv. Eng. Softw..

[38]  Safya Belghith,et al.  Cryptanalysis of a multi-chaotic systems based image cryptosystem , 2010 .

[39]  Vinod Patidar,et al.  Image encryption using chaotic logistic map , 2006, Image Vis. Comput..

[40]  Abdul Hanan Abdullah,et al.  A novel chaotic based image encryption using a hybrid model of deoxyribonucleic acid and cellular automata , 2015 .

[41]  Tao Xie,et al.  Breaking a novel image fusion encryption algorithm based on DNA sequence operation and hyper-chaotic system , 2014 .

[42]  Zhengjun Liu,et al.  Triple image encryption scheme in fractional Fourier transform domains , 2009 .

[43]  Sirma Yavuz,et al.  Cryptanalysis of a novel image encryption scheme based on improved hyperchaotic sequences , 2012 .

[44]  Jinsheng Sun,et al.  A block cipher based on a suitable use of the chaotic standard map , 2005 .

[45]  Zhou Wang,et al.  Modern Image Quality Assessment , 2006, Modern Image Quality Assessment.

[46]  Xuelong Li,et al.  Lossless Data Embedding Using Generalized Statistical Quantity Histogram , 2011, IEEE Transactions on Circuits and Systems for Video Technology.

[47]  Congxu Zhu,et al.  A novel image encryption scheme based on improved hyperchaotic sequences , 2012 .

[48]  Xing-Yuan Wang,et al.  A new image encryption algorithm based on non-adjacent coupled map lattices , 2015, Appl. Soft Comput..

[49]  J. Fridrich.  Symmetric Ciphers Based on Two-Dimensional Chaotic Maps , 1998 .

[50]  Liang-Gee Chen,et al.  An efficient architecture for two-dimensional discrete wavelet transform , 2001, IEEE Trans. Circuits Syst. Video Technol..

[51]  Quan Liu,et al.  A novel image encryption algorithm based on chaos maps with Markov properties , 2015, Commun. Nonlinear Sci. Numer. Simul..

[52]  Chaitali Chakrabarti,et al.  A Survey on Lifting-based Discrete Wavelet Transform Architectures , 2006, J. VLSI Signal Process..

[53]  Hassan N. Noura,et al.  An image encryption scheme based on irregularly decimated chaotic maps , 2014, Signal Process. Image Commun..

[54]  Yong Wang,et al.  A new chaos-based fast image encryption algorithm , 2011, Appl. Soft Comput..

[55]  Jie Ling,et al.  A fast image encryption method by using chaotic 3D cat maps , 2014 .

[56]  Shilong Ma,et al.  Remote-sensing image encryption in hybrid domains , 2012 .

[57]  Maria E. Angelopoulou,et al.  Implementation and Comparison of the 5/3 Lifting 2D Discrete Wavelet Transform Computation Schedules on FPGAs , 2008, J. Signal Process. Syst..

[58]  Sos S. Agaian,et al.  2D Sudoku associated bijections for image scrambling , 2016, Inf. Sci..

[59]  Xing-Yuan Wang,et al.  A symmetric image encryption algorithm based on mixed linear-nonlinear coupled map lattice , 2014, Inf. Sci..

[60]  Hannu Olkkonen,et al.  Discrete Lattice Wavelet Transform , 2007, IEEE Transactions on Circuits and Systems II: Express Briefs.

[61]  Ting Liu,et al.  Color image encryption by using Arnold transform and color-blend operation in discrete cosine transform domains , 2011 .

[62]  Sara Tedmori,et al.  Lossless image cryptography algorithm based on discrete cosine transform , 2012, Int. Arab J. Inf. Technol..

[63]  Xiaoling Huang,et al.  An efficient self-adaptive model for chaotic image encryption algorithm , 2014, Commun. Nonlinear Sci. Numer. Simul..

[64]  Lin Yuan,et al.  Image encryption based on nonseparable fractional Fourier transform and chaotic map , 2015 .

[65]  S. Li,et al.  Cryptographic requirements for chaotic secure communications , 2003, nlin/0311039.

[66]  Yousef Farid,et al.  A robust hybrid method for image encryption based on Hopfield neural network , 2012, Comput. Electr. Eng..

[67]  Xuelong Li,et al.  Robust Reversible Watermarking via Clustering and Enhanced Pixel-Wise Masking , 2012, IEEE Transactions on Image Processing.

[68]  Guanrong Chen,et al.  A Novel Fast Image Encryption Scheme Based on 3D Chaotic Baker Maps , 2004, Int. J. Bifurc. Chaos.

[69]  Xin Ge,et al.  Cryptanalysis of a spatiotemporal chaotic image/video cryptosystem and its improved version , 2011 .

[70]  Chun-jiang Pang.  An Image Encryption Algorithm Based on Discrete Wavelet Transform and Two Dimension Cat Mapping , 2009, 2009 International Conference on Networks Security, Wireless Communications and Trusted Computing.

[71]  Yicong Zhou,et al.  Image encryption using a new parametric switching chaotic system , 2013, Signal Process..

[72]  Sara Tedmori,et al.  Image cryptographic algorithm based on the Haar wavelet transform , 2014, Inf. Sci..

[73]  Chengqing Li,et al.  Cracking a hierarchical chaotic image encryption algorithm based on permutation , 2015, Signal Process..

[74]  Xuelong Li,et al.  Geometric Distortion Insensitive Image Watermarking in Affine Covariant Regions , 2010, IEEE Transactions on Systems, Man, and Cybernetics, Part C (Applications and Reviews).