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
Descripción
Sumario: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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