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A multiresolution algorithm to generate images of generalized fuzzy fractal attractors

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Abstract

We provide a new algorithm to generate images of the generalized fuzzy fractal attractors described recently by Oliveira and Strobin. We also provide some new results on the approximation of fractal operators to discrete subspaces with application to discrete versions of deterministic algorithm for fractal image generation in the cases of IFSs, fuzzy IFSs, and GIFSs.

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Acknowledgments

We would like to thank the anonymous reviewers for reading our paper carefully and pointing out several flaws in its original version.

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Authors and Affiliations

  1. Instituto de Matemá tica e Estatística, Universidade Federal do Rio Grande do Sul, Av. Bento Gonçalves 9500, 91500-900, Porto Alegre, RS, Brazil

    Rudnei D. da Cunha & Elismar R. Oliveira

  2. Instititute of Mathematics, Lodz University of Technology, Wólczańska 215, 90-924, Łódź, Poland

    Filip Strobin

Authors
  1. Rudnei D. da Cunha
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  2. Elismar R. Oliveira
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  3. Filip Strobin
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Correspondence to Rudnei D. da Cunha.

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da Cunha, R.D., Oliveira, E.R. & Strobin, F. A multiresolution algorithm to generate images of generalized fuzzy fractal attractors. Numer Algor 86, 223–256 (2021). https://doi.org/10.1007/s11075-020-00886-w

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  • DOI: https://doi.org/10.1007/s11075-020-00886-w

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