Smooth surfaces from bilinear patches: Discrete affine minimal surfaces

Florian Käferböck, Helmut Pottmann

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Motivated by applications in freeform architecture, we study surfaces which are composed of smoothly joined bilinear patches. These surfaces turn out to be discrete versions of negatively curved affine minimal surfaces and share many properties with their classical smooth counterparts. We present computational design approaches and study special cases which should be interesting for the architectural application. 2013 Elsevier B.V.
Original languageEnglish (US)
Pages (from-to)476-489
Number of pages14
JournalComputer Aided Geometric Design
Volume30
Issue number5
DOIs
StatePublished - Jun 2013

ASJC Scopus subject areas

  • Modeling and Simulation
  • Computer Graphics and Computer-Aided Design
  • Automotive Engineering
  • Aerospace Engineering

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