Smooth surfaces from bilinear patches: Discrete affine minimal surfaces☆

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.

DOI: 10.1016/j.cagd.2013.02.008

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Cite this paper

@inproceedings{Kferbck2013SmoothSF, title={Smooth surfaces from bilinear patches: Discrete affine minimal surfaces☆}, author={Florian K{\"a}ferb{\"{o}ck and Helmut Pottmann}, booktitle={Computer Aided Geometric Design}, year={2013} }