Algorithms generating images of attractors of generalized iterated function systems

作者：Jaros Patrycja; Maslanka Lukasz; Strobin Filip

来源：Numerical Algorithms, 2016, 73(2): 477-499.

DOI：10.1007/s11075-016-0104-0

• Fractal
• Iterated function system
• Generalized iterated function system
• Chaos game
• Deterministic algorithm
• Affine mappings

The paper is devoted to searching algorithms which will allow to generate images of attractors of 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 X, we consider mappings form the Cartesian product Xx...xX to X). Two presented algorithms are counterparts of classical deterministic algorithm and so-called chaos game. The third and fourth one is fitted to special kind of GIFSs - to affine GIFS, which are, in turn, also investigated.

• 出版日期2016-10