Graph-directed fractal interpolation functions
TURKISH JOURNAL OF MATHEMATICS, vol.41, no.4, pp.829-840, 2017 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Volume: 41 Issue: 4
- Publication Date: 2017
- Doi Number: 10.3906/mat-1604-39
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.829-840
- Keywords: Fractal interpolation function, iterated function system, graph-directed iterated function system
- Open Archive Collection: AVESIS Open Access Collection
- Anadolu University Affiliated: Yes
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 R-2 such that the graphs of the interpolation functions are attractors of a graph-directed iterated function system.