Smooth surfaces from bilinear patches: discrete affine minimal surfaces

F. Käferböck and H. Pottmann

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 andne 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.

Bibtex:

@article{kaeferboeck-2013-affminimal,
    AUTHOR = {K{\"a}ferb{\"o}ck, Florian and Pottmann, Helmut},
     TITLE = {Smooth surfaces from bilinear patches: discrete affine minimal
              surfaces},
   JOURNAL = {Comput. Aided Geom. Design},
      YEAR = {2013},
     PAGES = {476-489},
}

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