Geodesic patterns

Pottmann, Helmut, Huang, Qixing, Deng, Bailin ORCID: https://orcid.org/0000-0002-0158-7670, Schiftner, Alexander, Kilian, Martin, Guibas, Leonidas and Wallner, Johannes 2010. Geodesic patterns. Presented at: ACM SIGGRAPH 2010, Los Angeles, CA, USA, 26-30 July 2010. ACM SIGGRAPH 2010 papers. ACM Transactions on Graphics. , vol.29 (4) USA: Association for Computing Machinery, p. 43. 10.1145/1778765.1778780

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Abstract

Geodesic curves in surfaces are not only minimizers of distance, but they are also the curves of zero geodesic (sideways) curvature. It turns out that this property makes patterns of geodesics the basic geometric entity when dealing with the cladding of a freeform surface with wooden panels which do not bend sideways. Likewise a geodesic is the favored shape of timber support elements in freeform architecture, for reasons of manufacturing and statics. Both problem areas are fundamental in freeform architecture, but so far only experimental solutions have been available. This paper provides a systematic treatment and shows how to design geodesic patterns in different ways: The evolution of geodesic curves is good for local studies and simple patterns; the level set formulation can deal with the global layout of multiple patterns of geodesics; finally geodesic vector fields allow us to interactively model geodesic patterns and perform surface segmentation into panelizable parts.

Item Type:	Conference or Workshop Item (Paper)
Date Type:	Publication
Status:	Published
Schools:	Computer Science & Informatics
Subjects:	Q Science > QA Mathematics > QA75 Electronic computers. Computer science
Publisher:	Association for Computing Machinery
ISBN:	978-1-4503-0210-4
ISSN:	0730-0301
Last Modified:	21 Oct 2022 06:51
URI:	https://orca.cardiff.ac.uk/id/eprint/98579

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