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Topology-based methods are of increasing importance in the analysis and visualization of datasets from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the extension of concepts to time-dependent data, the representation of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. In this forum we will bring together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. At the workshop we will discuss topics, which include:

  • scalar/vector/tensor field topology
  • topology of point sets and cell complexes
  • multi-field topology
  • theoretical models
  • combinatorial methods and robustness
  • multi-scale representation models
  • higher-order topological methods
  • time-dependent methods
  • feature extraction
  • Lagrangian coherent structures
  • topology-based denoising
  • topological similarity and correlation
  • topology simplification
  • user interfaces and visualization
  • domain specific interpretation of topological constructs and results
  • efficiency of topological algorithms
  • open implementations of topological algorithms

The 2015 workshop in Annweiler, Germany follows the five successful workshops in 2005 (Budmerice, Slovakia), 2007 (Grimma, Germany), 2009 (Snowbird, USA), 2011 (Zurich, Switzerland), and 2013 (Davis, USA). It will be held in an open atmosphere of informal discussions, open exchange and personal interaction. Submissions will be peer-reviewed before the workshop, and must be presented at the workshop. We are tentatively planning to publish all accepted papers in the Mathematics + Visualization series of Springer after a mandatory revision incorporating reviewer comments and discussions at the workshop.

Program Chairs (alphabetic order):

  • Hamish Carr (Univ. of Leeds)
  • Christoph Garth (Univ. of Kaiserslautern)
  • Tino Weinkauf (Max-Planck Institut Informatik, KTH Stockholm)

Contact: please send email to Christoph Garth (garth@cs.uni-kl.de) for questions or feedback.