A new algorithm that generates the image of the attractor of a generalized iterated function system

2019/05/19 by Radu Miculescu, Miculescu, Radu, Alexandru Mihail +3
Mathematics · #Mathematical Dynamics and Fractals #math.DS #msc:28A80 #msc:37C70 #msc:41A65 #msc:65P99 #msc:65S05

paper · pdf · doi:10.48550/arxiv.1905.09725

arxiv created 2019/05/19 · arxiv updated 2019/05/24

Abstract

We provide a new algorithm (called the grid algorithm) designed to generate the image of the attractor of a generalized iterated function system on a finite dimensional space and we compare it with the deterministic algorithm regarding generalized iterated function systems presented by P. Jaros, L. Maslanka and F. Strobin in [Algorithms generating images of attractors of generalized iterated function systems, Numer. Algorithms, 73 (2016), 477-499].

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