Image Watermarking Encryption Scheme Based on Fractional Order Chaotic System


Share / Export Citation / Email / Print / Text size:

International Journal of Advanced Network, Monitoring and Controls

Xi'an Technological University

Subject: Computer Science, Software Engineering


eISSN: 2470-8038





Volume / Issue / page

Related articles

VOLUME 2 , ISSUE 2 (June 2017) > List of articles

Image Watermarking Encryption Scheme Based on Fractional Order Chaotic System

Dawei Ding / Zongzhi Li / Shujia Li

Keywords : fractional order chaotic system, discrete wavelet transform(DWT), image watermarking, security, robustness, invisibility

Citation Information : International Journal of Advanced Network, Monitoring and Controls. Volume 2, Issue 2, Pages 79-89, DOI:

License : (CC BY-NC-ND 4.0)

Published Online: 08-April-2018



Now the chaotic system and wavelet transform are more and more widely used in the watermarking technology. At the same time, the fractional order chaotic system has more complex dynamic characteristics than the integer order system. So a new image watermarking scheme based on the fractional order Chen chaotic system and discrete wavelet transform is proposed. Chaotic sequences generated by chaotic system are used to encrypt the watermark image, and the processed watermark information is embedded into the original image by the discrete wavelet transform. Finally, the security analysis of the proposed watermarking algorithm is presented. The experimental results show that the proposed watermarking scheme has high security, and it has stronger robustness and invisibility compared with the previous work.

Content not available PDF Share



S. Poonkuntran, R.S. Rajesh. “Chaotic model based semi fragile watermarking using integer transforms for digital fundus image authentication”, Multimedia Tools & Applications, vol. 68, no.1,pp. 79-93, 2014.


X.J.Tong, Y.Liu, M.Zhang, et al. “A novel chaos-based fragile watermarking for image tampering detection and self-recovery”, Signal Process Image Commun, vol. 28, no.3,pp. 301-308, 2013.


S.Behnia, M.Teshnehlab, P.Ayubi. “Multiple-watermarking scheme based on improved chaotic maps”, Communications in Nonlinear Science & Numerical Simulation, vol. 15, no.9,pp. 2469-2478,2010.


T.G.Gao, Q.L.Gu, S.Emmanuel. “A novel image authentication scheme based on hyper-chaotic cell neural network”, Chaos Solitons&Fractals, vol. 42, no.1,pp. 548-553, 2009.


A.Mooney, J.G.Keating, I.Pitas. “A comparative study of chaotic and white noise signals in digital watermarking”, Chaos Solitons&Fractals, vol. 35, no.5,pp. 913-921,2008.


G.Y.Gao, G.P.Jiang. “Zero-bit watermarking resisting geometric attacks based on composite-chaos optimized SVR model”, The Journal of China Universities of Posts and Telecommunications, vol. 18, no.2,pp. 94-101,2011.


S.Rawat, B.Raman. “A publicly verifiable lossless watermarking scheme for copyright protection and ownership assertion”, AEU-International Journal of Electronics and Communications, vol. 66 ,no.11,pp. 955- 962,2012.


M.R.Keyvanpour, F.M.Bayat. “Blind image watermarking method based on chaotic key and dynamic coefficient quantization in the DWT domain”, Mathematical&Computer Modelling, vol. 58,pp. 56-67,2013.


D.Y.Zhao, J.P.Chen, J.C.Sun. “Design and implementation of improved watermarking system in WT domain”, The Journal of China Universities of Posts and Telecommunications, vol. 14,no.2,pp. 58-63,2007.


M.Barni, F.Bartolini, A.Piva. “Improved wavelet-based watermarking through pixel-wise masking”, IEEE Transactions on Image Processing A Publication of the IEEE Signal Processing Society, vol. 10,no.5,pp. 783- 791,2001.


B.Y.Lei, D.Ni, S.P.Chen, et al. “Optimal image watermarking scheme based on chaotic map and quaternion wavelet transform”, Nonlinear Dynamics, vol. 78,no.4,pp. 2897-2907,2014.


O.Benrhouma, H.Hermassi, S.Belghith. “Tamper detection and self-recovery scheme by DWT watermarking”, Nonlinear Dynamics, vol. 79,no.3,pp. 1-17,2014.


J.Song, Z.Zhang. “A Digital Watermark Method Based on SVD in Wavelet Domain”, International Journal of Advancements in Computing Technology, vol. 3,no.8,pp. 205-214,2011.


G.P.Tang, X.F.Liao, Y.Chen. “A novel method for designing S-boxes based on chaotic maps”, Chaos Solitons&Fractals, vol. 23,no.2,pp. 413-419,2005.


C.P.Li, G.J.Peng. “Chaos in Chen’s system with a fractional order”, Chaos Solitons&Fractals, vol.22,no.2,pp. 443-450,2004.


S.M.Kenneth, R.Bertram. “An introduction to the fractional calculus and fractional differential equations”, Wiley-Interscience, vol. 65,no.9,pp. 1000-1003,1993.


J.H.Song, J.W.Song, Y.H.Bao. “A Blind Digital Watermark Method Based on SVD and Chaos”, Procedia Engineering, vol. 29,no.29,pp. 285-289,2012.


T.H.Chen, G.B.Horng, W.B.Lee. “A publicly verifiable copyright-proving scheme resistant to malicious attacks”, IEEE Transactions on Industrial Electronics, vol. 52,no.1,pp. 327-334,2005.


W.B.Pennebaker, J.L.Mitchell. JPEG Still Image Data Compression Standard, New York: Van Nostrand Reinhold, 1993.


T.Acharya, P.S.Tsai. JPEG2000 Standard for Image Compression: Concepts, Algorithms and VLSI Architectures,New York: John Wiley & Sons, 2004.


R.C.Gonzalez, R.E.Woods. Digital Image Processing, New York: Addison-Wesley Longman Publishing Co., Inc., 2001.


W.K.Pratt. Digital Image Processing,New York: Wiley & Sons, 1991


A.Rosenfeld A, A.C.Kak. Digital Picture Processing,Cambridge, Massachusetts: Academic Press,1982.