Abstract
In the emerging Virtual Reality era, 3D multimedia contents are popularized as images and videos. Encryption is a methodology that enhances the security by converting the original content into unintelligible content. The Arnold transform or Arnold cat map is a commonly used chaos-based encryption system that encrypts by shuffling the data. 3D models include vertices, faces and textures. An efficient secure symmetric chaotic cryptosystem is proposed for 3D mesh graphical models using 3D Arnold cat map. Arnold cat map is performed to encrypt the 3D mesh model using shuffling and substitution. The cryptosystem is proposed for vertices and faces separately and are composited together to form the final encrypted model. Each round introduces a good permutation and substitution through the confusion and diffusion generated by the 3D Arnold map. The chaotic function delivers more security for the 3D models through the shuffling and substitution. Simulation results show that the proposed scheme encrypts and decrypts the 3D mesh models and resists various attacks.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Lian, S., Mao, Y., Wang, Z.: 3D extensions of some 2D chaotic maps and their usage in data encryption. In: 4th International Conference on Control and Automation, pp. 819–823, June 2003
Thamizhchelvy, K., Geetha, G.: Data hiding technique with fractal image generation method using chaos theory and watermarking. Indian J. Sci. Technol. 7(9), 1271–1278 (2014)
Wang, X., Teng, L., Qin, X.: A novel colour image encryption algorithm based on chaos. Signal Process. 92(4), 1101–1108 (2012)
Li, C., Zhang, L.Y., Ou, R., Wong, K.-W., Shu, S.: Breaking a novel colour image encryption algorithm based on chaos. Nonlinear Dyn. 70(4), 2383–2388 (2012)
Wang, X.-Y., Yang, L., Liu, R., Kadir, A.: A chaotic image encryption algorithm based on perceptron model. Nonlinear Dyn. 62(3), 615–621 (2010)
Alvarez, G., Li, S.: Some basic cryptographic requirements for chaos-based cryptosystems. Int. J. Bifurc. Chaos 16(08), 2129–2151 (2006)
Guan, Z.-H., Huang, F., Guan, W.: Chaos-based image encryption algorithm. Phys. Lett. A 346(1), 153–157 (2005)
Fridrich, J.: Secure image ciphering based on chaos. Final report for AFRL (1997)
Qi, D., Zou, J., Han, X.: Sci. China Ser. E: Technol. Sci. 43(3), 304–312 (2000)
Jin, X., zhu, S., Xiao, C., Sun, H., Li, X., Zhao, G., Ge, S.: 3D textured model encryption via 3D Lu chaotic mapping. Science China Inf. Sci. 60, 122107 (2017)
Jani Anbarasi, L., Anandha Mala, G.S.: Verifiable multi secret sharing scheme for 3D models. Int. Arab. J. Inf. Technol. (IAJIT) 14(6), 1683–3198 (2015)
Jani Anbarasi, L., Narendra, M.: Robust watermarking scheme using Weber Law for 3D mesh models. Imaging Sci. J. 65, 409–417 (2017)
Rey, A.M.D.: A method to encrypt 3D solid objects based on three-dimensional cellular automata. In: Proceedings of the 10th International Conference on Hybrid ArtiLcial Intelligent Systems, Bilbao, pp. 427–438 (2015)
Jolfaei, A., Wu, X.W., Muthukkumarasamy, V.: A 3D object encryption scheme which maintains dimensional and spatial stability. IEEE Trans. Inf. Foren. Secur. 10, 409–422 (2015)
Jin, X., Wu, Z.X., Song, C.G., et al.: 3D point cloud encryption through chaotic mapping. In: Proceedings of the 17th Pacific Rim Conference on Multimedia Information Processing, Xi’an, pp. 119–129 (2016)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Switzerland AG
About this paper
Cite this paper
Raj, B., Jani Anbarasi, L., Narendra, M., Subashini, V.J. (2019). A New Transformation of 3D Models Using Chaotic Encryption Based on Arnold Cat Map. In: Barolli, L., Xhafa, F., Khan, Z., Odhabi, H. (eds) Advances in Internet, Data and Web Technologies. EIDWT 2019. Lecture Notes on Data Engineering and Communications Technologies, vol 29. Springer, Cham. https://doi.org/10.1007/978-3-030-12839-5_29
Download citation
DOI: https://doi.org/10.1007/978-3-030-12839-5_29
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-12838-8
Online ISBN: 978-3-030-12839-5
eBook Packages: Intelligent Technologies and RoboticsIntelligent Technologies and Robotics (R0)