Interpolation using local iterated function systems

The real data interpolation methods can be generalized with fractal functions. Iterated function systems are used in order to construct fractal functions. Local iterated function systems are important generalization of iterated function systems. In this article using the fact that graphs of piecewise polynomial functions can be written as the fixed points of local iterated function system we study the behavior of local iterated function systems using Hermite interpolation methods.