Abstract
We propose a fractal image generation method for data hiding using chaos theory. Chaos is an unpredictable behavior which arises on the dynamical system in turns explains the non-linearity and randomness. The initial condition acts as a key which is generated by the PRNG. The fractal image generation method is used to generate the fractals; while generating the fractal itself we have to hide the data. It uses the difference equation i.e., Fibonacci series for data hiding. If the initial value is identified wrongly then chaotic behavior arises in the system that may lead to chaos. It is very difficult for the steganalysis to break the data. The generated fractal images are watermarked and it can be used as a digital signature for any online applications.
Highlights
The geometric shapes of the fractals are very complex and it is infinitely detailed
The fractals have the elements of chaos and it is first imagined by Julia and Mandelbrot, but the essence is based in mathematics
The paper is organized as follows - Section 2 deals with previous works on fractals, Section 3 explains the techniques of Chaos Theory and Pseudo Random Number Generator (PRNG), in section 4 discusses about the Image Generation Algorithm processes, Algorithm, Flowchart Representation and experimental data results, and in section 5 we bring out the conclusion and future works
Summary
The geometric shapes of the fractals are very complex and it is infinitely detailed. The small sections of them are recursively defined and it is similar to large ones. The Function of the fractals is f(x) is to consider x, f(x), f(f(x)), f(f(f(x))), etc. The definite properties of the complex systems of the fractals are closely related to Chaos
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