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H. Pottmann:
"Modeling Architectural Freeform";
Vortrag: 6th Technion Computer Engineering Conference, Haifa, Israel (eingeladen); 24.06.2016 - 25.06.2016.

Architectural projects of high geometric complexity greatly benefit from the incorporation of essential aspects of function, fabrication and statics into the shape modeling process. This integrated view is one of the major goals of Architectural Geometry. One has to avoid detailed physical simulation as this would hardly be compatible with interactive shape manipulation. Instead, we aim at developing shape modeling tools which employ simplified mathematical models in order to respect manufacturing and structural constraints. In the present talk, we will focus on architectural form-finding problems, in particular on self-supporting structures. We access them through meshes in force equilibrium and discuss their connections to discrete differential geometry. Interactive modeling is enabled through an efficient projection onto constraint varieties whose algebraic structure is simplified by introducing auxiliary variables and ensuring that constraints are at most quadratic. This is joint work with Chengcheng Tang, Etienne Vouga, Mathias Höbinger, Alexandra Gomes, Xiang Sun and Johannes Wallner.

http://tce.webee.eedev.technion.ac.il/wp-content/uploads/sites/8/2016/07/HPModeling-architectural-freeform-no-video.pdf