Graph-directed fractal interpolation functions

Authors

ALİ DENİZ
YUNUS ÖZDEMİR

Abstract

It is known that there exists a function interpolating a given data set such that the graph of the function is the attractor of an iterated function system, which is called a fractal interpolation function. We generalize the notion of the fractal interpolation function to the graph-directed case and prove that for a finite number of data sets there exist interpolation functions each of which interpolates a corresponding data set in $\mathbb{R}^2$ such that the graphs of the interpolation functions are attractors of a graph-directed iterated function system.

DOI

10.3906/mat-1604-39

Keywords

Fractal interpolation function, iterated function system, graph-directed iterated function system

First Page

829

Last Page

840

Recommended Citation

DENİZ, A, & ÖZDEMİR, Y (2017). Graph-directed fractal interpolation functions. Turkish Journal of Mathematics 41 (4): 829-840. https://doi.org/10.3906/mat-1604-39