Overview

• Application Fields
  • Clinical Research and Health Care
  • Metropolitan Infrastructure
  • Optical Technologies
  • Sustainable Energies
  • Geometric Design and Visualization
  • Education and Outreach
• Projects
  • Running projects
  • Successfully completed projects
• Publications
• Scientists
• Preprints
• Institutional Cooperation
• Archiv 02-14

Running projects

• GV-AP1

  Discrete geometric structures motivated by applications in architecture

  Prof. Alexander I. Bobenko

  Project heads: Prof. Alexander I. Bobenko
  Project members: -
  Duration: 01.07.2012 - 30.06.2020
  Status: running
  Located at: Technische Universität Berlin
  

  Description

  Many of today's most striking buildings are nontraditional freeform shapes. Their fabrication is a big challenge, but also a rich source of research topics in geometry. Project A08 addresses key questions such as: "How can we most efficiently represent and explore the variety of manufacturable designs?" or "Can we do this even under structural constraints such as force equilibrium?" Answers to these questions are expected to support the development of next generation modelling tools which combine shape design with key aspects of function and fabrication.
  
  http://www.discretization.de/en/projects/C01/

• GV-AP5

  Geometric Constraints for Polytopes

  Raman Sanyal / Prof. Günter M. Ziegler

  Project heads: Raman Sanyal / Prof. Günter M. Ziegler
  Project members: -
  Duration: 01.07.2012 - 30.06.2020
  Status: running
  Located at: Freie Universität Berlin
  

  Description

  Polytopes are solid bodies bounded by flat facets. Alternatively, they can be described as the convex hull of their vertices. Thus a polytope can be presented by information on two aspects, a geometric one: "What are the coordinates of the vertices" and a combinatorial one: "Which vertex is incident to which face". There are many interrelations between these two levels: Combinatorial requirements enforce restrictions on the geometry, and vice versa. A03 studies aspects of this interplay.
  
  http://www.discretization.de/en/projects/A03/

• GV-AP11

  Transfer of research prototypes to the commercial visualization systems Amira and Avizo

  Dr. Steffen Prohaska

  Project heads: Dr. Steffen Prohaska
  Project members: -
  Duration: 01.09.2012 - 31.12.2020
  Status: running
  Located at: Konrad-Zuse-Zentrum für Informationstechnik Berlin
  

  Description

  Amira and Avizo are professional software products for 3D visualization, geometry reconstruction and data analysis. The software has been designed and developed at the Zuse Institute Berlin (ZIB) in the department of Visualization and Data Analysis. Today, Amira and Avizo are jointly developed by the ZIB and the FEI Visualization Sciences Group in Bordeaux, France. The goal of the Amira and Avizo Technology Transfer project is to speed up the integration of new algorithms developed at ZIB into the commercial versions of Amira and Avizo. FEI benefits from this project by an early integration of state of the art research into the commercial software. ZIB benefits from the technology transfer in two important ways: Customer support for commercially available modules is provided by the companies; and research prototypes are improved and maintained after the end of a research project, making it easier for other researchers to build upon them in the future.
  
  http://www.zib.de/projects/transfer-research-prototypes-commercial-visualization-systems-amira-and-avizo

• GV-AP15

  Geometrical and topological microstructure analysis of metal and steel grains

  PD Dr. Frank Lutz / Prof. Dr. Boris Springborn

  Project heads: PD Dr. Frank Lutz / Prof. Dr. Boris Springborn
  Project members: -
  Duration: 01.03.2016 - 28.02.2022
  Status: running
  Located at: Technische Universität Berlin
  

  Description

  The objective of this project is to develop geometrical and topological approaches to study boundary surfaces of steel grains from voxel data. We plan to use methods from Discrete Differential Geometry and Combinatorial Topology to extract curvature information of grain interfaces in combination with grain topologies.
  
  http://page.math.tu-berlin.de/~lutz/steel_interfaces/

• GV-AP16

  Computational and structural aspects of point set surfaces

  Prof. Dr. Konrad Polthier

  Project heads: Prof. Dr. Konrad Polthier
  Project members: Dr. Konstantin Poelke / M.Sc. Martin Skrodzki
  Duration: 01.07.2016 - 30.06.2020
  Status: running
  Located at: Freie Universität Berlin
  

  Description

  In the project “Computational and structural aspects of point set surfaces”, we will develop discrete differential geometric representations for point set surfaces and effective computational algorithms. Instead of first reconstructing a triangle based mesh, our operators act directly on the point set data. The concepts will have contact to meshless methods and ansatz spaces of radial basis functions. As proof of concept of our theoretical investigations we will transfer and implement key algorithms from surface processing, for example, for surface parametrization and for feature aware mesh filtering on point set surfaces. Point set surfaces have a more than 15 year long history in geometry processing and computer graphics as they naturally arise in 3D-data acquisition processes. A guiding principle of these algorithms is the direct processing of raw scanning data without prior meshing – a principle that has a long-established history in classical numerical computations. However, their usage mostly restricts to full dimensional domains embedded in R2 or R3 and a thorough investigation of a differential geometric representation of point set surfaces and their properties is not available. Inspired by the notion of manifolds, we will develop new concepts for meshless charts and atlases. These will be used to implement higher order differential operators including curvature descriptors. On this solid basis of meshless differential operators, we will develop novel algorithms for important geometry processing tasks, such as feature recognition, filtering operations, and surface parameterization.
  
  http://www.discretization.de/en/projects/C05/