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<p>In a previous work (Chaos Solitons Fract 173:113674, 2023), we presented a method for finding a finite family of closed balls whose union contains the attractor of a given iterated function system. In this paper, for the particular framework of fractal interpolation surfaces, we provide an improved version of it. This approach is more efficient, from the computational point of view, as it is based on finding the maximum of certain sets, in contrast to the previous method which uses a sorting algorithm.</p>

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Covers of Fractal Interpolation Surfaces with Finite Families of Octahedrons

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年4月24日

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  • Bogdan-Cristian Anghelina,
  • Radu Miculescu

摘要

In a previous work (Chaos Solitons Fract 173:113674, 2023), we presented a method for finding a finite family of closed balls whose union contains the attractor of a given iterated function system. In this paper, for the particular framework of fractal interpolation surfaces, we provide an improved version of it. This approach is more efficient, from the computational point of view, as it is based on finding the maximum of certain sets, in contrast to the previous method which uses a sorting algorithm.