Geometric Design and Visualization

There is a growing demand for visualization of complex data – e.g. in medical imaging, production processes or even in mathematics itself.
Matheon develops fundamentally new mathematical concepts and geometric algorithms to foster image processing, computer graphics – or simply a better understanding of mathematical correlations



Topics



Running projects

Financed by others

  • 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-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 - 31.12.2017
    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-AP13

    Low-Dimensional Models for Complex Structured Data

    Prof. Dr. Gitta Kutyniok

    Project heads: Prof. Dr. Gitta Kutyniok
    Project members: -
    Duration: 01.10.2015 - 30.09.2018
    Status: running
    Located at: Technische Universität Berlin

    Description

    DEDALE is an interdisciplinary project that intends to develop the next generation of data analysis methods for the new era of big data in astrophysics and compressed sensing. Novel data analysis methods in machine learning allow for a better preservation of the intrinsic physical properties of real data that generally live on intricate spaces, such as signal manifolds.

    Our project have three main scientific directions:
    • Introduce new models and methods to analyse and restore complex, multivariate, manifold-based signals.
    • Exploit the current knowledge in optimisation and operations research to build efficient numerical data processing algorithms in the large-scale settings.
    • Show the reliability of the proposed methods in two different applications: one in cosmology and one in remote sensing.


    http://dedale.cosmostat.org/

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