Geometric Modelling

Summary

Geometric Modelling is the branch of Computer Science concerned with the efficient representation, manipulation, and analysis of geometry on a computer. The origin of this discipline is curve and surface design for CAD/CAM systems. Today, Geometric Modelling is a well established field with a wide range of applications, including computer graphics, scientific visualization, virtual reality, simulation, and medical imaging, and it attracts researchers with backgrounds in computer science as well as mathematics and engineering.

The 5th Dagstuhl seminar on geometric modelling was attended by 51 participants. The participants came from 3 continents and 13 countries, and included 6 industrial scientists as well as the leading academic experts in the field. Several young invited researchers were funded by the HLSC program of the European community. A very special event during the conference was the award ceremony for the John Gregory Memorial award. This time Prof.\ Hans Hagen, Prof.\ Gerald Farin, Prof.\ Joseph Hoschek, and Prof. Tom Lyche have been awarded with this price for their fundamental contributions to the field of geometric modelling. After the conference, as with all previous Dagstuhl Seminars on Geometric Modelling, a conference proceedings will be published.

The were a total 42 technical presentations at the conference related to the following diverse topics:

• curve and surface modelling
• non-manifold modelling in CAD
• multiresolution analysis of complex geometric models
• surface reconstruction
• variational Design
• computational geometry of curves and surfaces
• 3D meshing
• geometric modelling for scientific visualization
• geometric models for Biomedical application

Despite the large number of presentations during the conference and the high attendance at these talks, there was ample time for scientific discussions and research.

The organizers would like to thank all the attendees for their participation. They would also especially like to thank the team of Schloss Dagstuhl for helping to make this workshop a success. As always, we enjoyed the warm atmosphere of the Schloss, which supports formal discussions along with informal exchanges of ideas.