Circular arc structures

Pengbo Bo, Helmut Pottmann, Martin Kilian, Wen Ping Wang, Johannes Wallner

Research output: Chapter in Book/Report/Conference proceedingConference contribution

36 Scopus citations

Abstract

The most important guiding principle in computational methods for freeform architecture is the balance between cost efficiency on the one hand, and adherence to the design intent on the other. Key issues are the simplicity of supporting and connecting elements as well as repetition of costly parts. This paper proposes so-called circular arc structures as a means to faithfully realize freeform designs without giving up smooth appearance. In contrast to non-smooth meshes with straight edges where geometric complexity is concentrated in the nodes, we stay with smooth surfaces and rather distribute complexity in a uniform way by allowing edges in the shape of circular arcs. We are able to achieve the simplest possible shape of nodes without interfering with known panel optimization algorithms. We study remarkable special cases of circular arc structures which possess simple supporting elements or repetitive edges, we present the first global approximation method for principal patches, and we show an extension to volumetric structures for truly threedimensional designs. © 2011 ACM.
Original languageEnglish (US)
Title of host publicationACM SIGGRAPH 2011 papers on - SIGGRAPH '11
PublisherAssociation for Computing Machinery (ACM)
ISBN (Print)9781450309431
DOIs
StatePublished - Jul 26 2011

ASJC Scopus subject areas

  • Computer Graphics and Computer-Aided Design

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