Smooth surfaces from bilinear patches: Discrete affine minimal surfaces()

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 co...

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Detalles Bibliográficos
Autores principales: Käferböck, Florian, Pottmann, Helmut
Formato: Online Artículo Texto
Lenguaje:English
Publicado: North-Holland 2013
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3688334/
https://www.ncbi.nlm.nih.gov/pubmed/23805016
http://dx.doi.org/10.1016/j.cagd.2013.02.008
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author Käferböck, Florian
Pottmann, Helmut
author_facet Käferböck, Florian
Pottmann, Helmut
author_sort Käferböck, Florian
collection PubMed
description 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.
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spelling pubmed-36883342013-06-24 Smooth surfaces from bilinear patches: Discrete affine minimal surfaces() Käferböck, Florian Pottmann, Helmut Comput Aided Geom Des Article 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. North-Holland 2013-06 /pmc/articles/PMC3688334/ /pubmed/23805016 http://dx.doi.org/10.1016/j.cagd.2013.02.008 Text en © 2013 Elsevier B.V. https://creativecommons.org/licenses/by-nc-nd/3.0/ Open Access under CC BY-NC-ND 3.0 (https://creativecommons.org/licenses/by-nc-nd/3.0/) license
spellingShingle Article
Käferböck, Florian
Pottmann, Helmut
Smooth surfaces from bilinear patches: Discrete affine minimal surfaces()
title Smooth surfaces from bilinear patches: Discrete affine minimal surfaces()
title_full Smooth surfaces from bilinear patches: Discrete affine minimal surfaces()
title_fullStr Smooth surfaces from bilinear patches: Discrete affine minimal surfaces()
title_full_unstemmed Smooth surfaces from bilinear patches: Discrete affine minimal surfaces()
title_short Smooth surfaces from bilinear patches: Discrete affine minimal surfaces()
title_sort smooth surfaces from bilinear patches: discrete affine minimal surfaces()
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3688334/
https://www.ncbi.nlm.nih.gov/pubmed/23805016
http://dx.doi.org/10.1016/j.cagd.2013.02.008
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