An image hiding scheme in a 2-dimensional coupled map lattice of matrices

Abstract An image hiding scheme in a 2-dimensional coupled map lattice of matrices is presented in this paper. Scalar variables at each node of the lattice are replaced by nilpotent matrices. The spatiotemporal divergence process is employed to hide the secret digital image in the state map of the nodal variables. The presented image hiding scheme does not require the computation of the difference image between two patterns produced by the perturbed and the unperturbed initial conditions. Computational experiments are used to demonstrate the efficacy of the presented technique.

[1]  Huayong Zhang,et al.  Bifurcation, chaos and pattern formation in a space- and time-discrete predator-prey system , 2016 .

[2]  Paul Manneville,et al.  Coupled map lattices as cellular automata , 1989 .

[3]  Eric Vanden-Eijnden,et al.  Spatiotemporal Self-Organization of Fluctuating Bacterial Colonies. , 2017, Physical review letters.

[4]  Frederico G. Guimarães,et al.  Medical image encryption using a hybrid model of modified genetic algorithm and coupled map lattices , 2018, Optics and Lasers in Engineering.

[5]  Minvydas Ragulskis,et al.  Secure steganographic communication algorithm based on self-organizing patterns. , 2011, Physical review. E, Statistical, nonlinear, and soft matter physics.

[6]  Ma Dolores Sotelo Herrera,et al.  Travelling waves associated with saddle-node bifurcation in weakly coupled CML , 2010 .

[7]  Pranas Ziaukas,et al.  Communication scheme based on evolutionary spatial 2×2 games , 2014 .

[8]  Jeffrey R Moffitt,et al.  Self-erasing perturbations of Abelian sandpiles. , 2004, Physical review. E, Statistical, nonlinear, and soft matter physics.

[9]  Lei Gao,et al.  Highly fluorescent liquid-crystal based on biomolecule and dye self-assembly and their luminescence behavior in solvents for the detection of Fe3+ , 2018, Colloids and Surfaces A: Physicochemical and Engineering Aspects.

[10]  Tetsuya Asai,et al.  Image steganography based on reaction diffusion models toward hardware implementation , 2014 .

[11]  Kyle Johnson,et al.  Coupled Map Lattices as Musical Instruments , 2018, Computer Music Journal.

[12]  Robert M. May,et al.  Simple mathematical models with very complicated dynamics , 1976, Nature.

[13]  H WolpertDavid Ubiquity symposium: Evolutionary computation and the processes of life: what the no free lunch theorems really mean: how to improve search algorithms , 2013 .

[14]  David H. Wolpert,et al.  Ubiquity symposium: Evolutionary computation and the processes of life: what the no free lunch theorems really mean: how to improve search algorithms , 2013, UBIQ.

[15]  Pranas Ziaukas,et al.  Image Hiding Scheme Based on the Atrial Fibrillation Model , 2015 .

[16]  Tetsuya Asai,et al.  Striped and Spotted Pattern Generation on Reaction-diffusion Cellular Automata - Theory and LSI Implementation , 2007, Int. J. Unconv. Comput..

[17]  Xingyuan Wang,et al.  A novel image encryption algorithm using chaos and reversible cellular automata , 2013, Commun. Nonlinear Sci. Numer. Simul..

[18]  Zenonas Navickas,et al.  The Effect of Explosive Divergence in a Coupled Map Lattice of Matrices , 2018, Chaos, Solitons & Fractals.

[19]  F. Atay,et al.  Network synchronization: Spectral versus statistical properties , 2006, 0706.3069.

[20]  Kunihiko Kaneko,et al.  From globally coupled maps to complex-systems biology. , 2015, Chaos.

[21]  Chen Lu,et al.  Digital image communication scheme based on the breakup of spiral waves , 2017 .

[22]  Xiaojie Hou,et al.  Analysis of bifurcation, chaos and pattern formation in a discrete time and space Gierer Meinhardt system , 2019, Chaos, Solitons & Fractals.

[23]  Pranas Ziaukas,et al.  Competitively coupled maps for hiding secret visual information , 2016 .

[24]  V. Vanag,et al.  Self-Organization Induced by Self-Assembly in Microheterogeneous Reaction-Diffusion System. , 2017, The journal of physical chemistry. B.

[25]  Kunihiko Kaneko,et al.  Spatiotemporal chaos in one-and two-dimensional coupled map lattices , 1989 .

[26]  R. S. Bhuvaneswaran,et al.  An intertwining chaotic maps based image encryption scheme , 2012 .