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- W4381996578 abstract "We present a method to determine a finite family of closed balls whose union contains the attractor of a given finite iterated function system. Our approach is similar to the one provided by D. Canright in “Estimating the spatial extent of attractors of iterated function systems”, Comput. & Graphics, 18 (1994), 231–238. The central idea is to replace the system that is used by Canright to determine the radii of the balls with a simpler one. More precisely he finds algorithmically a solution of his system, but we are able to determine the algebraic expression of a solution of our system. As a by-product we are able to find a cover of the attractor with a finite family of closed balls having the radii smaller than a prescribed value, at the cost of increasing the number of family’s elements. Finally a comparison, from the graphical and numerical simulation point of view, between our method and Canright’s approach is presented." @default.
- W4381996578 created "2023-06-26" @default.
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- W4381996578 date "2023-08-01" @default.
- W4381996578 modified "2023-09-25" @default.
- W4381996578 title "On the localization of Hutchinson–Barnsley fractals" @default.
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- W4381996578 doi "https://doi.org/10.1016/j.chaos.2023.113674" @default.
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