Institute of Geometry

The following links describe in more detail areas of research the Institute of Geometry at TU Graz is involved in. In particular we want to mention the following grants:

• National Research Network Industrial Geometry (Grant S092, Austrian Science Fund, 2008—2011),
• the Doctoral College Discrete Mathematics (Grant W1230, Austrian Science Fund, 2010—2014),
• the international FWF grant I705 which is part of the SFB-Transregio Discretization in Geometry and Dynamics", 2012—2016.

Specific research areas are the following:

• Computational Differential Geometry
  (supported by FWF grants No. S9209, 2008—2011, and No. I705, 2012— )
• Freeform surfaces in architecture
  (supported by FFG, 2008—2010, and FWF, 2008—2011)
• Multivariate subdivision processes
  (supported by FWF grants No. P19780, 2007—2012 and W1230, 2010—)
• Smoothness of nonlinear subdivision algorithms
  (supported by FWF grant No. P18575, 2007)
• Klein polyhedra and multidimensional continued fractions
  (supported by FWF grant No. M1273-N18, 2011—2013)
• Energies of knots and graphs
• Kinematics and Robotics
• Graph Theory
  (supported by FWF grant W1230, 2011—)