Fractal modeling using free form techniques

Abstract

Abstract IFS models have become a powerful tool for the construction of fractal sets. They offer a straightforward way to generate complex, self‐similar figures as attractors. However, they present the fundamental disadvantage of providing little control over the global form of the attractor. In contrast, free form techniques give a high control over smooth man‐made objects with the use of a set of control points. In this paper, we present a new approach of fractal modeling which is based on IFS theory. We shall use free form techniques to give a practical and efficient way to build controlled fractal attractors. The resulting effect consists on the ability to deform a fractal shape interactively into the desired shape, in the same way as parametric forms (Bézier, splines).