 |
September 4-7 Barcelona (Spain) |
 |
Algebraic Geometry and Geometric
Modeling both deal with curves and surfaces generated by
polynomial equations. AG investigates the theoretical properties of
polynomial curves and surfaces; GM uses polynomial, piecewise
polynomial, and rational curves and surfaces to build computer models
of mechanical components and assemblies for industrial design and
manufacture.
The aim of this workshop is to present new results, algorithms, developments or applications of effective algebraic geometry in Geometric Modeling. On the one hand, Algebraic Geometry has developed an impressive theory targeting the understanding of geometric objects defined algebraically. On the other hand, Geometric Modeling is using every day, in practical and difficult problems, virtual shapes based on algebraic models. Could these two domains benefit from each other ? Recent and interesting developments in this direction are about to convince us to answer yes. The workshop will try to reinforce the natural bridge which exists between these two areas, expecting as a result, a better analysis of the key problems and of the related approaches.
Previous AGGM's were held in Vilnius 2002 and Nice 2004. This edition will be a Satellite Conference of the International Conference of Mathematicians (Madrid 2006).
The aim of this workshop is to present new results, algorithms, developments or applications of effective algebraic geometry in Geometric Modeling. On the one hand, Algebraic Geometry has developed an impressive theory targeting the understanding of geometric objects defined algebraically. On the other hand, Geometric Modeling is using every day, in practical and difficult problems, virtual shapes based on algebraic models. Could these two domains benefit from each other ? Recent and interesting developments in this direction are about to convince us to answer yes. The workshop will try to reinforce the natural bridge which exists between these two areas, expecting as a result, a better analysis of the key problems and of the related approaches.
Previous AGGM's were held in Vilnius 2002 and Nice 2004. This edition will be a Satellite Conference of the International Conference of Mathematicians (Madrid 2006).
Topics
- Geometry of curves and surfaces
- Rational/implicit representation
- Resultant constructions and implicitization
- Singularity, detection and analysis
- Classification of curves and surfaces
- Intersection, resolution
- Approximate/certified methods
- Computer Implementations of Algorithmic Algebraic Geometry
Invited Speakers
- Falai Chen, University of Science and Technology of China, Anhui (China)
- Rida Farouki, University of California, Davis (USA)
- Robert Joan-Arinyo, Universitat Politecnica de Catalunya (Spain)
- Bert Juttler, Johannes Kepler University, Linz (Austria)
- Rimvydas Krasauskas, Vilnius University (Lithuania)
- Josef Schicho, Johann Radon Institute for Computational and Applied Mathematics, Linz (Austria)
- Rafael Sendra, Universidad de Alcala, Madrid (Spain)
List of
participants
Location
Organizing comittee
Laurent Busé, Carlos D´Andrea, Ron Goldman, Laureano González-Vega, Bernard Mourrain, Martín Sombra