Algorithms generating images of attractors of generalized iterated function systems
Dynamical Systems
2016-01-14 v1
Abstract
The paper is devoted to searching algorithms which will allow to generate images of attractors of \emph{generalized iterated function systems} (GIFS in short), which are certain generalization of classical iterated function systems, defined by Mihail and Miculescu in 2008, and then intensively investigated in the last years (the idea is that instead of selfmaps of a metric space , we consider mappings form the Cartesian product to ). Two presented algorithms are counterparts of classical \emph{deterministic algorithm} and so-called \emph{chaos game}. The third and fourth one one is fitted to special kind of GIFSs - to \emph{affine} GIFS, which are, in turn, also investigated.
Keywords
Cite
@article{arxiv.1601.03200,
title = {Algorithms generating images of attractors of generalized iterated function systems},
author = {Partycja Jaros and Łukasz Maślanka and Filip Strobin},
journal= {arXiv preprint arXiv:1601.03200},
year = {2016}
}
Comments
22 pages, 6 figures