25.05.14 - 30.05.14, Seminar 14221

Geometric Modeling

Diese Seminarbeschreibung wurde vor dem Seminar auf unseren Webseiten veröffentlicht und bei der Einladung zum Seminar verwendet.


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.