iterated function systems

Fractal-based image coding is based on the theory of iterated function systems (IFS). An image may be represented by a dynamical system, known as a fractal transform, whose attractor is close to the image being coded. For natural images, the parameters of such a dynamical system…

This thesis concerns an active research area within fractal geometry. In the first part, in Chapters 2 and 3, for directed graph iterated function systems (IFSs) defined on ℝ, we prove that a class of 2-vertex directed graph IFSs have attractors that cannot be the attractors of …