Title:	Automatic construction of fractal structures with locally controlled lacunarity
Authors:	Bordeaux, Boris Gentil, Christian
Citation:	Journal of WSCG. 2024, vol. 32, no. 1-2, p. 1-12.
Issue Date:	2024
Publisher:	Václav Skala - UNION Agency
Document type:	článek article
URI:	http://hdl.handle.net/11025/57339
ISSN:	1213 – 6972 1213 – 6980 (CD-ROM) 1213 – 6964 (on-line)
Keywords:	fraktály;geometrické modelování;lakunární kontrola;iterativní modelování;subdivize
Keywords in different language:	fractals;geometric modeling;lacunar control;iterative modeling;subdivision
Abstract in different language:	Lacunar fractal structures reduce the material quantity and weight while improving some physics properties, such as heat transfers, and preserving good mechanical properties. Nowadays, it is possible to construct such shapes thanks to additive manufacturing. This paper focuses on automatically generating subdivision rules for fractal lacunar structures with local topology control. The first main difficulty is guaranteeing topological consistency while assembling different cells to build a complicated multi-lacuna structure. The second is the adaptation of such shapes to geometric constraints like imposed boundaries. We address these questions throughout the formalism of the Boundary Controlled Iterated Function System. Then, we analyze the lacunarity and complexity of these structures from various geometric, topologic, and fractal measures
Rights:	© Václav Skala - UNION Agency
Appears in Collections:	Volume 32, number 1-2 (2024)

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