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arXiv · 2510.14474

Blending attractors of Iterated Function Systems

Elismar R. Oliveira
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Abstract

In this paper we discuss a new method to blend fractal attractors using the code map for the IFS formed by the Hutchinson--Barnsley operators of a finite family of hyperbolic IFSs. We introduce a parameter called blending coefficient to measure the similarity between the blended set and each one of the original attractors. We also introduce a discrete approximation algorithm and prove a rigorous error estimation used to approximate these new objects. Several simulation results are provided illustrating our techniques.

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Elismar R. Oliveira. 2025-10-16. Blending attractors of Iterated Function Systems. https://arxiv.org/abs/2510.14474

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