Overview
- Editors:
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Bert Jüttler
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Institute of Applied Geometry, Johannes Kepler University, Linz, Austria
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Ragni Piene
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CMA and Department of Mathematics, University of Oslo, Oslo, Norway
- Book arising from major European project in geometric modeling
- Includes supplementary material: sn.pub/extras
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Table of contents (12 chapters)
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Front Matter
Pages I-VIII
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Survey of the European project GAIA II
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Some special algebraic surfaces
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- Franck Aries, Emmanuel Briand, Claude Bruchou
Pages 31-46
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- Sonja Breske, Oliver Labs, Duco van Straten
Pages 47-54
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- Pål Hermunn Johansen, Magnus Løberg, Ragni Piene
Pages 55-77
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- Rimvydas Krasauskas, Severinas Zube
Pages 79-92
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Algorithms for geometric computing
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Front Matter
Pages 116-117
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- Tobias Beck, Josef Schicho
Pages 119-140
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- Frédéric Cazals, Jean-Charles Faugère, Marc Pouget, Fabrice Rouillier
Pages 141-159
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- Stéphane Chau, Margot Oberneder, André Galligo, Bert Jüttler
Pages 161-180
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- Ioannis Ivrissimtzis, Hans-Peter Seidel
Pages 181-197
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- Chen Liang, Bernard Mourrain, Jean-Pascal Pavone
Pages 199-214
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- Mohamed Shalaby, Bert Jüttler
Pages 215-227
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Back Matter
Pages 229-231
About this book
The two ?elds of Geometric Modeling and Algebraic Geometry, though closely - lated, are traditionally represented by two almost disjoint scienti?c communities. Both ?elds deal with objects de?ned by algebraic equations, but the objects are studied in different ways. While algebraic geometry has developed impressive - sults for understanding the theoretical nature of these objects, geometric modeling focuses on practical applications of virtual shapes de?ned by algebraic equations. Recently, however, interaction between the two ?elds has stimulated new research. For instance, algorithms for solving intersection problems have bene?ted from c- tributions from the algebraic side. The workshop series on Algebraic Geometry and Geometric Modeling (Vilnius 1 2 2002 , Nice 2004 ) and on Computational Methods for Algebraic Spline Surfaces 3 (Kefermarkt 2003 , Oslo 2005) have provided a forum for the interaction between the two ?elds. The present volume presents revised papers which have grown out of the 2005 Oslo workshop, which was aligned with the ?nal review of the European project GAIA II, entitled Intersection algorithms for geometry based IT-applications 4 using approximate algebraic methods (IST 2001-35512) .
Editors and Affiliations
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Institute of Applied Geometry, Johannes Kepler University, Linz, Austria
Bert Jüttler
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CMA and Department of Mathematics, University of Oslo, Oslo, Norway
Ragni Piene
