An efficient image generation algorithm using fractals and chaos theory

Abstract

An Efficient Image Generation Algorithm is proposed. It generates Message Authentication Image (MAI) by using Fractals and chaos theory. The fractal images are generated by using Iterated Function System (IFS) techniques. We implemented and generated the fractal images exploring the properties of chaos. Chaos is an unpredictable behavior arises in a dynamical system so that the future behavior is not in a predictable way. Chaos is based on the initial condition that is generated by Pseudo Random Number Generator (PRNG). The chaotic behavior of the system is also analyzed. We use these Fractal images as a digital signature. This technique can be employed in online transactions like Banking, Shopping. to avoid phishing and also we can watermark this fractal image and use it for government and private identification proofs.