AGGM 2009
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, Nice 2004, and Barcelona 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, Nice 2004, and Barcelona 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 Participants (tentative)
- Martin Aigner, Johannes Kepler University, Austria
- Falai Chen, University of Science and Technology of China
- Jiansong Deng, University of Science and Technology of China
- Rida T. Farouki, University of California (Davis), USA
- Xiao-Shan Gao, Chinese Academy of Sciences
- Ronald Goldman, Rice University, USA
- Jerome Hoffman, Louisiana State University, USA
- Xiaohong Jia, University of Science and Technology of China
- Jiri Kosinka University of Oslo, Norway
- Rimvydas Krasauskas, Vilnius University, Lithuania
- Hongbo Li, Chinese Academy of Sciences
- Hua Li, Institute of Computing Technology, CAS
- Bernard Mourrain, INRIA Sophia Antipolis, France
- Dongxu Qi, Macao University of Science and Technology
- Liyong Shen, Graduate School of CAS
- Michael Sagraloff, Max-Planck-Institut für Informatik, Germany
- Zbynek Sir, Charles University in Prague, Czech
- Changhe Tu, Shangdong University, China
- Guozhao Wang, Zhejiang University, China
- Haohao Wang, Southeast Missouri University, USA
- Renhong Wang, Dalian University of Technology, China
- Wenping Wang, The University of Hong Kong
- Yang Zhang University of Manitoba, Canada
Organizer
- Falai Chen, University of Science and Technology of China
- Xiao-Shan Gao, Academy of Mathematics and System Sciences, Academia Sinica (CHINA)
- Ron Goldman, Rice University (USA)
- Bernard Mourrain, INRIA Sophia Antipolis (FRANCE)
- Wenping Wang, The University of Hong Kong
Sponsor
- Academy of Mathematics and Systems Science, CAS
- Chinese Society of Computer Mathematics
- Institute of Systems Science, CAS
- Department of Mathematics, USTC
- National Science Foundation of China