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Dagstuhl Seminar 14221

Geometric Modeling

( May 25 – May 30, 2014 )

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Geometric Modeling is the branch of Computer Science concerned with the efficient acquisition, representation, modeling, and analysis of 3-dimensional geometry on a computer. The challenges of optimizing shape and geometric functionality go far beyond aesthetics and entertainment but play a central role in better, more energy efficient (re)design of consumer products, industrial tools and transport of goods and services that is crucial for the planet's well-being.

Rooted in computing, classical geometry, and engineering, geometric modeling is interdisciplinary at its core and undergoes continual refinement and adaption to new applications such as parallel computing on GPUs, LIDAR scanners, and smart mobile devices. The last ten years have seen the rise of subdivision methods, triangle meshes, and direct modeling with point clouds as additions to the standard toolkit of spline-like objects.

The goal of this proposed seminar is to provide a forum for leading researchers and exceptionally talented junior researchers from all over the world to present new ideas, to exchange scientific insights, and to bring together practical applications and basic research in Geometric Modeling. The seminar will concentrate on

  • Algorithms and mathematical foundations of geometric modeling, including algebraic and topology-based methods, because they will allow for integrated discussions on the generic shape representations, shape transformations and computational models facing the new challenges.
  • 3D content generation, because nowadays specialists still prefer to use traditional media for shape creation. The use of 3D computerized tools is avoided as much as possible. There is an obvious need for making 3D content generation easier.
  • Design optimization in CAE and Isogeometric representations, because both themes capture the following challenges: Interfacing accurate n-variate spline models with numerical simulations for the former and supporting the needs of geometric modeling in a computationally intensive and highly automated computer-aided engineering (CAE) environment for the latter.

The program of the seminar will consist of a selection of presentations of ongoing work by the participants in the area of geometric modeling, based on abstracts, which will be solicited, and on invited surveys addressing the four seminar topics from different perspectives. There will be panel discussions organized after each group of three talks. In addition, ample time for formal and informal discussions during the seminar will be available. Selected papers will likely be published in a journal special issue as it has been done for past seminars.


The 9th Dagstuhl seminar was attended by 44 leading researchers coming from 3 continents and 20 countries. A total of 45 presentations were grouped together into 12 lecture sessions and 3 perspective working group sessions. There was also ample time for stimulating and fruitful person to person and group discussions in the harmonic Dagstuhl atmosphere. Dagstuhl seminars on Geometric Modelling are among the most interdisciplinary events within Geometric Modelling. The reason is the seminar format and the generous numbers of targeted invitation to leading researchers across the different research communities addressing Geometric Modelling. Geometric Modeling is the branch of Computer Science concerned with the acquisition, representation, modeling and analysis of 3-dimensional and higher dimensional geometry. The evolution of IT-technology with Cloud Computing and the big data challenge, and novel manufacturing technologies such as 3D printing and layered manufacturing, as well as the introduction of Isogeometric Analysis drive a need for increased innovation within Geometric Modeling. The Dagstuhl seminars on Geometric Modelling are one of the main driving forces facilitating such innovation.

The twelve lecture sessions covered a wide range of topics:

  • Geometric modelling, analysis and computations;
  • Methods in approximate algebraic geometry and implicitization;
  • Mesh processing both related to triangulations and isogeometric analysis;
  • Optimization and Isogeometric Analysis;
  • Splines over triangulations an and locally refinable splines;
  • Material modelling and reverse engineering;
  • Funding opportunities for Geometric Modelling within Horizon 2020.

The three perspective working groups have each written a short document reporting on approach and result of the session. The perspective working group on subdivision addressed the state of the art and the future research challenges of subdivisions. The group on 3D printing approached the challenges from the current wide media coverage of 3D printing and challenges experienced by industry using 3D printing. The group on modeling of material microstructures was approaching the topic from additive manufacturing, and the challenges faced by the geometric modelling community to support modeling and representation of such material structures in variety of applications. As with all previous Dagstuhl Seminars on Geometric Modeling, the conference proceedings will be published, the 2014 proceedings as a special issue of the Elsevier Journal Graphical Models. A special event during the conference was the John Gregory Memorial Award honoring Elaine Cohen, Jörg Peters and Ulrich Reif. This award is presented every three years at Dagstuhl and honors fundamental contributions to the field of geometric modeling. The organizers thank all the attendees for their contributions and extend special thanks to the team of Schloss Dagstuhl for helping to make this seminar a success. As always, we enjoyed the warm atmosphere of the Schloss, which supports both formal presentations as well as informal exchanges of ideas.

Copyright Falai Chen, Tor Dokken, Thomas A. Grandine, and Stefanie Hahmann

  • Oliver Barrowclough (SINTEF IKT Applied Mathematics - Oslo, NO) [dblp]
  • Pere Brunet (UPC - Barcelona, ES) [dblp]
  • Laurent Buse (INRIA Sophia Antipolis - Méditerranée, FR) [dblp]
  • Falai Chen (Univ. of Science & Technology of China - Anhui, CN) [dblp]
  • Elaine Cohen (University of Utah - Salt Lake City, US) [dblp]
  • Tor Dokken (SINTEF IKT Applied Mathematics - Oslo, NO) [dblp]
  • Gershon Elber (Technion - Haifa, IL) [dblp]
  • Ioannis Emiris (University of Athens, GR) [dblp]
  • Ron Goldman (Rice University - Houston, US) [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 & INRIA Grenoble, FR & LJK Grenoble, FR) [dblp]
  • Kai Hormann (University of Lugano, CH) [dblp]
  • Bert Jüttler (Universität Linz, AT) [dblp]
  • Myung-Soo Kim (Seoul National University, KR) [dblp]
  • Tae-wan Kim (Seoul National University, KR) [dblp]
  • Leif Kobbelt (RWTH Aachen, DE) [dblp]
  • Rimvydas Krasauskas (Vilnius University, LT) [dblp]
  • Nicole Lehmann (TU Darmstadt, DE) [dblp]
  • Yaron Lipman (Weizmann Institute - Rehovot, IL) [dblp]
  • Ligang Liu (Univ. of Science & Technology of China - Anhui, CN) [dblp]
  • Tom Lyche (University of Oslo, NO) [dblp]
  • Géraldine Morin (University of Toulouse, FR) [dblp]
  • Bernard Mourrain (INRIA Sophia Antipolis - Méditerranée, FR) [dblp]
  • Georg Muntingh (SINTEF IKT Applied Mathematics - Oslo, NO) [dblp]
  • Peter Noertoft (Technical University of Denmark - Lyngby, DK) [dblp]
  • Jorg Peters (University of Florida - Gainesville, US) [dblp]
  • Konrad Polthier (FU Berlin, DE) [dblp]
  • Helmut Pottmann (KAUST - Thuwal, SA) [dblp]
  • Hartmut Prautzsch (KIT - Karlsruher Institut für Technologie, DE) [dblp]
  • Ewald Quak (Technical University - Tallinn, EE) [dblp]
  • Ulrich Reif (TU Darmstadt, DE) [dblp]
  • Richard F. Riesenfeld (University of Utah - Salt Lake City, US) [dblp]
  • Jarek Rossignac (Georgia Institute of Technology - Atlanta, US) [dblp]
  • Malcolm A. Sabin (Numerical Geometry Ltd. - Cambridge, GB) [dblp]
  • Maria Lucia Sampoli (University of Siena, IT) [dblp]
  • Scott Schaefer (Texas A&M University - College Station, US) [dblp]
  • Vadim Shapiro (University of Wisconsin - Madison, US) [dblp]
  • Hiromasa Suzuki (University of Tokyo, JP) [dblp]
  • Georg Umlauf (HTWG Konstanz, DE) [dblp]
  • Tamás Várady (Budapest University of Technology and Economics, HU) [dblp]
  • Nelly Villamizar (RICAM - Linz, AT) [dblp]
  • Wenping Wang (University of Hong Kong, HK) [dblp]

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  • computer graphics / computer vision
  • modelling / simulation

  • geometric modeling
  • shape design
  • geometry
  • computer graphics
  • geometry processing
  • isogeometric analysis
  • 3D content generation
  • design optimization.