Oberseminar Deformationsquantisierung und Geometrie: Linus Mußmächer (Johannes-Kepler-Universität Linz)

Abstract:

In isogeometric analysis, spline surfaces defined on arbitrary meshes are used to model smooth surfaces and perform simulations on them.
In this talk, we will look at the special case of tensor product Bezier splines over quad meshes and discuss continuity conditions near extraordinary vertices (EVs).
We will see why symmetric bases around EVs exist only in rare cases and look at the construction of an over-complete generating system that retains approximation power while adding symmetric properties.
Finally, the properites and applications of these so-called FROG splines will be dicussed.