Geometric Modelling and CAD

Organizers

J. Rafael Sendra (mtsendra@alcala.es)
Departamento de Matemáticas
Universidad de Alcalá
Ap. Correos 20
E28871 Alcalá de Henares
MADRID (Spain)
Phone: (341) 8854902
Fax: (341) 8854953
Sabine Stifter (Sabine.Stifter@risc.uni-linz.ac.at)
RISC-Linz
Schloß Hagenberg
A-4232 Hagenberg
Austria/Europe
Tel: +43 7236 3231 60
Fax: +43 7236 3231 30

Description

Recently, algorithmic techniques from Computer Algebra and Constructive Methods in Algebraic Geometry have been applied successfully in Geometric Modelling and in Computer Aided Geometric Design. This session focusses on some fundamental algorithmic tecniques (as Stright Line Programs, Gr\"obner Basis), as well as conversion algorithms for curves and surfaces (as parametrizations and implicitizations). Also applications to parametrization of envelopes and unirationality analisys of offset varieties are treated.

Talks

Date: July 18th (Thursday)

08:30-09:00: Franz Winkler
Parametrization over prescribed coefficient fields.
Abstract
09:00-09:30: Hoon Hong, Josef Schicho
Implicitization of Nested Circular Curves and generalizations.
Abstract
09:30-10:00: Helmut Pottmann, Martin Peternell
Rational Parametrizations for Envelopes of Natural Quadrics.
Abstract

10:00-10:30: Coffee Break

10:30-11:00: E. Arrondo, J. Sendra, J.R. Sendra
Unirational Generalized Offset to Hypersurfaces.
Abstract
11:00-11:30: M. Giusti, K. Hägele, J. Heintz, J.E. Morais, J.L. Montaña, L.M. Pardo
Lower Bounds for Diophantine Approximations.
Abstract
11:30-12:00: Thomas Sauer
Constructing Gröbner Basis by Interpolation.
Abstract

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