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Conical Meshes

Geometry/Topology

Speaker: Helmut Pottman, Vienna University of Technology
Location: 2112 MSB
Start time: Wed, Apr 12 2006, 4:10PM

Aiming at applications in architectural design of freeform glass structures, we introduce conical meshes as a new type of quadrilateral meshes which discretize the network of principal curvature lines. Unlike any other mesh representation, conical meshes have a natural offsetting operation and provide a support structure orthogonal to the mesh. We address relations to Laguerre geometry, to developable surfaces, and discuss their computation with a technique combining optimization and subdivision.