Smooth surfaces from bilinear patches: Discrete affine minimal surfaces

Florian Käferböck; Helmut Pottmann

doi:10.1016/j.cagd.2013.02.008

Smooth surfaces from bilinear patches: Discrete affine minimal surfaces

Florian Käferböck, Helmut Pottmann

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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 language	English (US)
Pages (from-to)	476-489
Number of pages	14
Journal	Computer Aided Geometric Design
Volume	30
Issue number	5
DOIs	https://doi.org/10.1016/j.cagd.2013.02.008
State	Published - Jun 2013

ASJC Scopus subject areas

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

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10.1016/j.cagd.2013.02.008

https://repository.kaust.edu.sa/bitstream/10754/334572/1/Article-Computer_A-Smooth_sur-2013.pdf

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AB - 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.

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Smooth surfaces from bilinear patches: Discrete affine minimal surfaces

Abstract

ASJC Scopus subject areas

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