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Algebraic Geometry and Geometric Modeling
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27-28-29 September 2004, Nice, France.
Salle de conférence, Lab. J.A. Dieudonné, Dép. de Mathématiques, Parc Valrose
Organizers: M.
Elkadi, A.
Galligo, B.
Mourrain,
R. Piene
,
F.O. Schreyer
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. A non-exhaustive list of topics
includes
- Geometry of curves and surfaces,
- Rational/implicit representation,
- Resultant constructions and implicitisation,
- Singularity, detection and analysis,
- Classification of curves and surfaces,
- Intersection, resolution,
- Approximate/certified methods,
- ...
The meeting will be held in the spirit of a similar
workshop
in Vilnius 2002. A special emphasis will be given on applications of
algebraic methods in Computer Aided Geometric Design.
It will take place at Nice University, Valrose Parc.
It is connected to:
- GAIA II
(Intersection algorithms for geometry based IT-applications
using approximate algebraic methods) IST-2001-35512.
- Aim@shape NoE.
and by INRIA.
The publication of proceedings after the conference is planned.
Invited speakers:
- M. Chardin, Resultant and implicitisation
- R. Goldman, Algebraic Geometry and Geometric Modeling: Insight and Computation
- J.P. Jouanolou, Inertie and elimination
- V. Kharlamov, Overview of topological properties of real algebraic surfaces
- R. Krasauskas, Bezier parameterisation of toric surfaces
- A. Dimca, Singularities and how they change the shape and view of
objects
Participation
- Fee: 150E (including social dinner, 3 lunches, and coffee breaks); 100 E
for Ph.D. students
If you want to ask for reduction fees, please contact
M. Elkadi.
- Inscription.