Surface Modeling beyond NURBS

Staff - Faculty of Informatics

Start date: 7 December 2011

End date: 8 December 2011

The Faculty of Informatics is pleased to announce a seminar given by Ulrich Reif

DATE: Wednesday, December 7th, 2011
PLACE: USI Università della Svizzera italiana, room SI-008, Informatics building (Via G. Buffi 13)
TIME: 15.30

In the last two decades, various ways for the representation of smooth surfaces have been developed, such as

Subdivision surfaces
* G-splines
* Simplex splines
* Surface splines
* Polycube splines

We recall the underlying principles and discuss the main features of these concepts.
All these constructions are either restricted to special geometries, or become extremely complicated as the requested smoothness is increased.
As an alternative, we propose the so-called ambient B-spline method, which allows the representation of Ck-surfaces of arbitrary topology based on trivariate standard tensor product B-splines.


  • 1983-1989: Student of Mathematics und Electrical Engineering, University of Stuttgart, Diploma Thesis Supervisor: Prof. Kirchgaessner
  • 1993: Dissertation "New Aspects on the Theory of Free Form Surface with Arbitrary Topology", University of Stuttgart, Supervisor: Prof. Hoellig
  • 1997: Visiting Assistant Professor, Purdue University, USA
  • 1998: Habilitation "Analysis and Construction of Subdivision Algorithms"
  • 2000: Full professor at TU Darmstadt, successor of Prof. Hoschek

Area of Interest:

* Geometry Processing
- Subdivision Algorithms
- Free Form Surfaces with Arbitrary Topology

* Approximation Theory
- B-Splines
- Geometric Approximation

HOST: Prof. Kai Hormann