Geometric Computing for Freeform Architecture

J. Wallner, Helmut Pottmann

Research output: Contribution to journalArticlepeer-review

20 Scopus citations

Abstract

Geometric computing has recently found a new field of applications, namely the various geometric problems which lie at the heart of rationalization and construction-aware design processes of freeform architecture. We report on our work in this area, dealing with meshes with planar faces and meshes which allow multilayer constructions (which is related to discrete surfaces and their curvatures), triangles meshes with circle-packing properties (which is related to conformal uniformization), and with the paneling problem. We emphasize the combination of numerical optimization and geometric knowledge.
Original languageEnglish (US)
Pages (from-to)4
JournalJournal of Mathematics in Industry
Volume1
Issue number1
DOIs
StatePublished - Jun 4 2011

ASJC Scopus subject areas

  • Applied Mathematics

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