Proceedings/Recueil Des Communications Journal of WSCG Année : 2024

Automatic construction of fractal structures with locally controlled lacunarity

Résumé

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.

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Dates et versions

hal-05142933 , version 1 (03-07-2025)

Identifiants

Citer

Boris Bordeaux, Christian Gentil. Automatic construction of fractal structures with locally controlled lacunarity. International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision 2024, Jun 2024, Pilsen, CZ, Czech Republic. Journal of WSCG, 32 (1-2), 2024, ⟨10.24132/JWSCG.2024.1⟩. ⟨hal-05142933⟩
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