TY - JOUR
T1 - Geometric Computing for Freeform Architecture
AU - Wallner, J.
AU - Pottmann, Helmut
N1 - KAUST Repository Item: Exported on 2020-10-01
PY - 2011/6/4
Y1 - 2011/6/4
N2 - Geometric computing has recently found a new field of applications, namely the various geometric problems which lie at the heart of rationalization and construction-aware design processes of freeform architecture. We report on our work in this area, dealing with meshes with planar faces and meshes which allow multilayer constructions (which is related to discrete surfaces and their curvatures), triangles meshes with circle-packing properties (which is related to conformal uniformization), and with the paneling problem. We emphasize the combination of numerical optimization and geometric knowledge.
AB - Geometric computing has recently found a new field of applications, namely the various geometric problems which lie at the heart of rationalization and construction-aware design processes of freeform architecture. We report on our work in this area, dealing with meshes with planar faces and meshes which allow multilayer constructions (which is related to discrete surfaces and their curvatures), triangles meshes with circle-packing properties (which is related to conformal uniformization), and with the paneling problem. We emphasize the combination of numerical optimization and geometric knowledge.
UR - http://hdl.handle.net/10754/334630
UR - http://mathematicsinindustry.springeropen.com/articles/10.1186/2190-5983-1-4
UR - http://www.scopus.com/inward/record.url?scp=84859945876&partnerID=8YFLogxK
U2 - 10.1186/2190-5983-1-4
DO - 10.1186/2190-5983-1-4
M3 - Article
SN - 2190-5983
VL - 1
SP - 4
JO - Journal of Mathematics in Industry
JF - Journal of Mathematics in Industry
IS - 1
ER -