Automatic construction of fractal structures with locally controlled lacunarity

Show simple item record
dc.contributor.authorBordeaux, Boris
dc.contributor.authorGentil, Christian
dc.contributor.editorSkala, Václav
dc.date.accessioned2024-07-20T17:56:32Z
dc.date.available2024-07-20T17:56:32Z
dc.date.issued2024
dc.description.abstract-translatedLacunar 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 measuresen
dc.format12 s.cs_CZ
dc.format12 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationJournal of WSCG. 2024, vol. 32, no. 1-2, p. 1-12.en
dc.identifier.doihttps://www.doi.org/10.24132/JWSCG.2024.1
dc.identifier.issn1213 – 6972
dc.identifier.issn1213 – 6980 (CD-ROM)
dc.identifier.issn1213 – 6964 (on-line)
dc.identifier.urihttp://hdl.handle.net/11025/57339
dc.language.isoenen
dc.publisherVáclav Skala - UNION Agencycs
dc.rights© Václav Skala - UNION Agencycs
dc.rights© Václav Skala - UNION Agencyen
dc.rights.accessopenAccessen
dc.subjectfraktálycs
dc.subjectgeometrické modelovánícs
dc.subjectlakunární kontrolacs
dc.subjectiterativní modelovánícs
dc.subjectsubdivizecs
dc.subject.translatedfractalsen
dc.subject.translatedgeometric modelingen
dc.subject.translatedlacunar controlen
dc.subject.translatediterative modelingen
dc.subject.translatedsubdivisionen
dc.titleAutomatic construction of fractal structures with locally controlled lacunarityen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersion

Files

Original bundle
Showing 1 - 1 out of 1 results
No Thumbnail Available
Name:
A07-2024.pdf
Size:
7.2 MB
Format:
Adobe Portable Document Format
Description:
Plný text
Download
License bundle
Showing 1 - 1 out of 1 results
No Thumbnail Available
Name:
license.txt
Size:
1.71 KB
Format:
Item-specific license agreed upon to submission
Description:
Download

Collections

Volume 32, number 1-2 (2024)