| id |
4f70 |
| authors |
Pottmann; Helmut; Brell-Cokcan, Sigrid; Wallner, Johannes |
| year |
2007 |
| title |
Discrete Surfacesfor Architectural Design |
| source |
Nashboro Press 2007 |
| summary |
Geometric problems originating in architecture can lead to interesting research and results in geometry processing, computer aided geometric design, and discrete differential geometry. In this ar- ticle we survey this development and consider an important problem of this kind: Discrete surfaces (meshes) which admit a multi-layered geometric support structure. It turns out that such meshes can be el- egantly studied via the concept of parallel mesh. Discrete versions of the network of principal curvature lines turn out to be parallel to ap- proximately spherical meshes. Both circular meshes and the conical meshes considered only recently are instances of this meta-theorem. We dicuss properties and interrelations of circular and conical meshes, and also their connections to meshes in static equilibrium and dis- crete minimal surfaces. We conclude with a list of research problems in geometry which are related to architectural design. |
| series |
book |
| type |
normal paper |
| email |
|
| full text |
 file.pdf (1,813,148 bytes) |
| references |
Content-type: text/plain
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| last changed |
2008/03/14 15:59 |
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