Page 10 - Geometric Modeling and Algebraic Geometry

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The European project GAIA II entitled Intersection algorithms for geometry
based IT-applications using approximate algebraic methods (IST 2001-35512) in-
volved six academic and industrial partners from five countries. The project aimed at
combining knowledge from Computer Aided Geometric Design, classical algebraic
geometry and real symbolic computation in order to improve intersection algorithms
for Computer Aided Design systems. The project has has produced more than 50
scientific publications and several software toolkits, which are now partly available
under the GNU GPL license.
We invited the coordinator of the project, Tor Dokken, to present a survey de-
scribing the background, the methods, the results and the achievements of the GAIA
project. His summary is the first part of this volume.