Abstract
In this work a novel encryption algorithm to assure the confidentiality of \(3\)D solid objects is introduced. The encryption method consists of two phases: the confusion phase and the diffusion phase. In the first one a three-dimensional chaotic Cat map is applied \(N\) times, whereas in the diffusion phase a \(2\)-th order memory reversible \(3\)D cellular automata is evolved \(T\) times during \(M\) rounds. The encryption method is shown to be secure against the most important cryptanalytic attacks: statistical attacks, differential attack, etc.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Elsheh, E., Hamza, A.B.: Secret sharing approaches for \(3\)D object encryption. Expert Syst. Appl. 38, 13906–13911 (2011)
Fernandes, E., Delaigle, J.F.: Geometric soft hash functions for 2D and 3D objects. In: Delp III, E.J., Wong, P.W. (eds.) Proceedings of SPIE 5306, Security, Steganography, and Watermarking of Multimedia Contents VI, p. 784. SPIE (2004)
Fridrich, J.: Symmetric ciphers based on two-dimensional chaotic maps. Int. J. Bifurcat. Chaos 8, 1259–1284 (1998)
Lee, S.-H., Kwon, K.-R.: Robust 3D mesh model hashing based on feature object. Digit. Signal Process. 22, 744–759 (2012)
Lee, S.-H., Kwon, K.-R., Hwang, W.-J., Chandrasekar, V.: Key-dependent 3D model hashing for authentication using heat kernel signature. Digit. Signal Process. 23, 1505–1522 (2013)
MartÃn del Rey, A.: A multi-secret sharing scheme for \(3\)D solid objects. Expert Syst. Appl. 42, 2114–2120 (2015)
Montañola Sales, M., Rondão Alface, P., Macq, B.: \(3\)D objects watermarking and tracking of their visual representations. In: Proceedings of the Third International Conferences on Advances in Multimedia, p. 111. IARIA (2011)
Nguyen, V.D., Chow, Y.-W., Susilo, W.: On the security of text-based 3D CAPTCHAs. Comput. Secur. 45, 84–99 (2014)
Tarmissi, K., Ben Hamza, A.: Information-theoretic hashing of \(3\)D objects using spectral graph theory. Expert Syst. Appl. 36, 9409–9414 (2009)
Wang, K., Lavoué, G., Denis, F., Baskurt, A.: Three-dimensional meshes watermarking: review and attack-centric investigation. In: Furon, T., Cayre, F., Doërr, G., Bas, P. (eds.) IH 2007. LNCS, vol. 4567, pp. 50–64. Springer, Heidelberg (2008)
Wolfram, S.: A New Kind of Science. Wolfram Media Inc., Champaign (2002)
Zhang, S.: Handbook of D Machine Vision: Optical Metrology and Imaging. CRC Press, New York (2013)
Acknowledgement
This work has been supported by Gerencia Regional de Salud (Junta de Castilla y León, Spain) under grant number GES/SA01/14.
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2015 Springer International Publishing Switzerland
About this paper
Cite this paper
MartÃn del Rey, A. (2015). A Method to Encrypt \(3\)D Solid Objects Based on Three-Dimensional Cellular Automata. In: Onieva, E., Santos, I., Osaba, E., Quintián, H., Corchado, E. (eds) Hybrid Artificial Intelligent Systems. HAIS 2015. Lecture Notes in Computer Science(), vol 9121. Springer, Cham. https://doi.org/10.1007/978-3-319-19644-2_36
Download citation
DOI: https://doi.org/10.1007/978-3-319-19644-2_36
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-19643-5
Online ISBN: 978-3-319-19644-2
eBook Packages: Computer ScienceComputer Science (R0)