Geometric Modeling

Summary

Geometric Modeling is the branch of Computer Science concerned with the efficient acquisition, representation, manipulation, reconstruction and analysis of 3-dimensional geometry on a computer. Models and shapes in 3-dimensions can be represented as splines or subdivision surfaces, as well as by polygonal meshes or point clouds. Applications of geometric modeling cover a wide collection of areas from classical computer aided design, reverse engineering and simulation, to computer graphics, scientific visualization, medical imaging, multimedia and entertainment.

The 6th Dagstuhl seminar on geometric modelling was attended by 59 participants. The participants came from 4 continents and 19 countries (!), and included 4 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. Rida Farouki, Prof. Ron Goldman and Prof. Richard Riesenfeld 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, conference proceedings will be published in collaboration with Springer.

There were a total 53 technical presentations at the conference related to the following diverse topics:

• curve and surface modelling
• surface reconstruction
• surface interpolation and fitting
• multiresolution representations, subdivision surfaces
• algebraic methods for curves and surfaces
• 3D meshes
• computational topology
• geometric models for Biomedical application

Despite the very large number of presentations during the conference and the high attendance at these talks, there was 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 seminar a success. As always, we enjoyed the warm atmosphere of the Schloss, which supports formal discussions along with informal exchanges of ideas.