Digital image communication scheme based on the breakup of spiral waves

A digital image communication scheme based on the breakup of spiral waves is presented in this paper. This communication system does not require spatially homogeneous random initial conditions. Moreover, the secret image is not embedded into the initial conditions of the evolving self-organizing patterns. Such features increase the security of the communication, but still enable an effective transmission of the secret image. Computational experiments are used to demonstrate the properties and efficiency of the proposed scheme.

[1]  C. O. Weiss,et al.  Pattern formation in optical resonators , 2007 .

[2]  Tuckerman,et al.  Spiral-wave dynamics in a simple model of excitable media: The transition from simple to compound rotation. , 1990, Physical review. A, Atomic, molecular, and optical physics.

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

[4]  Qianqian Zheng,et al.  Dynamics and pattern formation in a cancer network with diffusion , 2015, Commun. Nonlinear Sci. Numer. Simul..

[5]  M. Eiswirth,et al.  Turbulence due to spiral breakup in a continuous excitable medium. , 1993, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[6]  A. M. Turing,et al.  The chemical basis of morphogenesis , 1952, Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences.

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

[8]  J. Langer,et al.  Pattern formation in nonequilibrium physics , 1999 .

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

[10]  L G Harrison,et al.  Kinetic theory of living pattern. , 1994, Endeavour.

[11]  Hasan Akin,et al.  Three-state von Neumann cellular automata and pattern generation , 2015 .

[12]  Eleonora Bilotta,et al.  Computer graphics meets chaos and hyperchaos. Some key problems , 2006, Comput. Graph..

[13]  H. Meinhardt.  Models of biological pattern formation , 1982 .

[14]  Minvydas Ragulskis,et al.  Communication scheme based on evolutionary spatial games in the cloud computing environment , 2014 .

[15]  Dwight Barkley,et al.  Barkley model , 2008, Scholarpedia.

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

[17]  Lei Zhang,et al.  Complex patterns in a predator-prey model with self and cross-diffusion , 2011 .

[18]  Peter Grindrod,et al.  The Theory and Applications of Reaction Diffusion Equations : Patterns and Waves , 1996 .

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

[20]  Dwight Barkley,et al.  Fast Simulations of Waves in Three-Dimensional Excitable Media , 1997 .

[21]  Dongmei Zhang,et al.  Deterministic Chaos in the Belousov-Zhabotinsky Reaction: Experiments and Simulations , 1995 .