Dagstuhl Seminar 08221
Geometric Modeling
( May 25 – May 30, 2008 )
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Organizers
- Gerald Farin (Arizona State University - Tempe, US)
- Stefanie Hahmann (University of Grenoble, FR)
- Jorg Peters (University of Florida - Gainesville, US)
- Wenping Wang (University of Hong Kong, HK)
Contact
Impacts
- Adjustable speed surface subdivision : article : S. 962-969 - Karciauskas, Kestutis; Peters, Jörg - Amsterdam : Elsevier, 2009 - (Computer aided geometric design : 26. 2009, 9 : S. 926-969).
- Finite Curvature Continuous Polar Patchworks : article in LNCS 5654 - Karciauskas, Kestutis; Peters, Jörg - Berlin : Springer, 2009. - S. 222-234 - Lecture notes in computer science : 5654 ; S. 222-234).
- Special issue on geometric modeling : Dagstuhl 2008 : S. 71-268 - Hahmann, Stefanie; Farin, Gerald; Peters, Jörg; Wang, Wenping - Wien : Springer, 2008 - (Computing : 86. 2009, 2/3 : S. 71-268).
- Circular spline fitting using an evolution process : article - Song, Xinghua; Aigner, Martin; Chen, Falai; Jüttler, Bert - Amsterdam : Elsevier, 2009. - pp. 423-433 - (Journal of computational and applied mathematics ; 231. 2009).
The seminar succeeded in bringing together leading researchers from 17 countries to present and discuss radically different approaches to the challenge of modeling complex geometric phenomena on the computer. Acquisition, representation and analysis of 3-dimensional geometry call for the combination of technically complex and often interdisciplinary approaches that are grounded both in classical mathematics and computer science data structures and theory. Reflecting the dynamics of the field, the meeting included a number of junior researchers.
The presentations ranged from the application of graphics processing units, to graph techniques, to algebraic approaches, discrete geometry, combining clasical spline with new subdivision methods and leveraging the geometry of classical surfaces in areas as far as architecture and medical modeling.
The unique setting and combination of participants revealed and correlated a surprising number of new techniques and insights. New surface fitting methods addressed the intricate problem of resolving the shape where several different primary geometric features merge (the multisided fair surface blending problem), and of representing thicker layers of surfaces (shells)as well as support functions on surfaces to support computations on manifolds.
A key point, both for industrial applications and fundamental scientific inquiery, is the topological correctness of surfaces. In particular, topological and metric guarantees are needed when reconstructing and matching objects or extracting surfaces (geometric processing); for example to avoid singularities and self-intersections. The (highly nonlinear) challenge of not only measuring but of controlling intrinsic geometry was laid out in several talks. While some approaches concentrate on the mathematical challenge, an alternative is to emphasize the interface and human intervention.
For simple geometry, determining geometry from constraints is another viable approach. Subdivision is an intriguing technique to flexibly represent geometry via refinement. This method bridges discrete and spline-based geometry. While key components have matured to the point where a survey talk laid out the fundamental structure, talks exposing work in progress and posing unresolved questions highlighted the need for further work. The detailed findings will appear in two refereed volumes, of full length research papers on Geometric Modeling to be published in a Springer journal.
Fittingly, the workshop was the setting for the John Gregory Award. The award, named after a pioneer of the field, honored the longterm innovative contributions to field of Hartmut Prautzsch, Helmut Pottmann and Tom Sederberg.
The productive meeting and exchange was made possible thanks to the unique setting and atmosphere of Dagstuhl castle whose scientific board gave the opportunity to organize this seminar and whose excellent administration made it possible to focus on work.
- Gudrun Albrecht (University of Valenciennes, FR) [dblp]
- Marc Alexa (TU Berlin, DE) [dblp]
- Alexander Belyaev (Heriot-Watt University - Edinburgh, GB)
- Pere Brunet (UPC - Barcelona, ES) [dblp]
- Guido Brunnett (TU Chemnitz, DE) [dblp]
- Tom Cashman (University of Cambridge, GB) [dblp]
- Falai Chen (Univ. of Science & Technology of China - Anhui, CN) [dblp]
- Gershon Elber (Technion - Haifa, IL) [dblp]
- Gerald Farin (Arizona State University - Tempe, US)
- Ron Goldman (Rice University - Houston, US) [dblp]
- Craig Gotsman (Technion - Haifa, IL) [dblp]
- Thomas A. Grandine (The Boeing Company - Seattle, US) [dblp]
- Jens Gravesen (Technical University of Denmark - Lyngby, DK) [dblp]
- Hans Hagen (TU Kaiserslautern, DE) [dblp]
- Stefanie Hahmann (University of Grenoble, FR) [dblp]
- Dianne Hansford (Arizona State University - Tempe, US) [dblp]
- Martin Hering-Bertram (Fraunhofer ITWM - Kaiserslautern, DE)
- Victoria Hernandez-Mederos (ICIMAF - La Habana, CU)
- Kai Hormann (TU Clausthal, DE) [dblp]
- Shi-Min Hu (Tsinghua University - Beijing, CN) [dblp]
- Tao Ju (Washington University - St. Louis, US) [dblp]
- Bert Jüttler (Universität Linz, AT) [dblp]
- Panagiotis Kaklis (National Technical University of Athens, GR) [dblp]
- Kestutis Karciauskas (Vilnius University, LT)
- Tae-wan Kim (Seoul National University, KR) [dblp]
- Leif Kobbelt (RWTH Aachen, DE) [dblp]
- Yaron Lipman (Tel Aviv University, IL) [dblp]
- Takashi Maekawa (Yokohama National University, JP)
- Stephen Mann (University of Waterloo, CA)
- Bernard Mourrain (INRIA Sophia Antipolis - Méditerranée, FR) [dblp]
- Heinrich Müller (TU Dortmund, DE)
- Kerstin Müller (TU Kaiserslautern, DE)
- Ahmad Nasri (American University of Beirut, LB)
- Gregory M. Nielson (Arizona State University - Mesa, US)
- Jorg Peters (University of Florida - Gainesville, US) [dblp]
- Thomas J. Peters (University of Connecticut - Storrs, US)
- Konrad Polthier (FU Berlin, DE) [dblp]
- Helmut Pottmann (TU Wien, AT) [dblp]
- Hartmut Prautzsch (KIT - Karlsruhe Institute of Technology, DE) [dblp]
- Ulrich Reif (TU Darmstadt, DE) [dblp]
- Richard F. Riesenfeld (University of Utah - Salt Lake City, US) [dblp]
- Malcolm A. Sabin (Numerical Geometry Ltd. - Cambridge, GB) [dblp]
- Nikolaos S. Sapidis (Univ. of the Aegean, GR)
- Scott Schaefer (Texas A&M University - College Station, US) [dblp]
- Larry L. Schumaker (Vanderbilt University - Nashville, US)
- Jonathan Shewchuk (University of California - Berkeley, US) [dblp]
- Hiromasa Suzuki (University of Tokyo, JP) [dblp]
- Georg Umlauf (TU Kaiserslautern, DE) [dblp]
- Johannes Peter Wallner (TU Graz, AT) [dblp]
- Wenping Wang (University of Hong Kong, HK) [dblp]
- Jianmin Zheng (Nanyang TU - Singapore, SG)
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Classification
- computer graphics
- modeling
Keywords
- geometry
- engineering
- volumetric modeling
- computer graphics
