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.
ASJC Scopus subject areas
- Modeling and Simulation
- Computer Graphics and Computer-Aided Design
- Automotive Engineering
- Aerospace Engineering