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Making the computation of approximations of invariant measures and its attractors for IFS and GIFS, through the deterministic algorithm, tractable

Rudnei D. da Cunha and Elismar R. Oliveira

Chaos, Solitons & Fractals, 2022, vol. 165, issue P2

Abstract: We present algorithms to compute approximations of invariant measures and its attractors for IFS and GIFS, using the deterministic algorithm in a tractable way, with code optimization strategies and use of data structures and search algorithms. The results show that these algorithms allow the use of these (G)IFS in a reasonable running time.

Keywords: Iterated function systems; Attractors; Fractals; Fuzzy sets; Algorithms generating fractal images; Hierarchical data structures (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:165:y:2022:i:p2:s0960077922010232

DOI: 10.1016/j.chaos.2022.112844

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