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Topological Features in Glyph-Based Corotation Visualization

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Book cover Topological Methods in Data Analysis and Visualization III

Part of the book series: Mathematics and Visualization ((MATHVISUAL))

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Abstract

This chapter introduces a novel method for vortex detection in flow fields based on the corotation of line segments and glyph rendering. The corotation measure is defined as a point-symmetric scalar function on a sphere, suitable for direct representation in the form of a three-dimensional glyph. Appropriate placement of these glyphs in the domain of a flow field makes it possible to depict vortical features present in the flow. We demonstrate how topological analysis of this novel glyph-based representation of vortex features can reveal vortex characteristics that lie beyond the capabilities of visualization techniques that consider vortex direction and magnitude information only.

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Acknowledgements

This work was partially supported by the Materials Design Institute, funded by the UC Davis/LANL Research Collaboration (LANL Agreement No. 75782-001-09). It was also supported by the NSF under contracts IIS 0916289 and IIS 1018097, the Office of Advanced Scientific Computing Research, Office of Science, of the US DOE under Contract No. DE-FC02-06ER25780 through the SciDAC programs VACET, and contract DE-FC02-12ER26072, SDAV Institute. We thank Simon Stegmaier for making available his software [16].

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Authors and Affiliations

  1. Department of Computer Science, Institute for Data Analysis and Visualization, University of California, Davis, CA, 95616-8562, USA

    Sohail Shafii, Harald Obermaier, Bernd Hamann & Kenneth I. Joy

Authors
  1. Sohail Shafii
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  2. Harald Obermaier
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  3. Bernd Hamann
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  4. Kenneth I. Joy
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Correspondence to Sohail Shafii .

Editor information

Editors and Affiliations

  1. Center for Applied Scientific Computing, Lawrence Livermore National Laboratory, Livermore, California, USA

    Peer-Timo Bremer

  2. Comparative Visualization Group, Konrad-Zuse-Zentrum für Informationstechnik, Berlin, Germany

    Ingrid Hotz

  3. School of Computing and SCI Institute, University of Utah, Salt Lake City, Utah, USA

    Valerio Pascucci

  4. Department of Computer Science, ETH Zürich, Zürich, Switzerland

    Ronald Peikert

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Shafii, S., Obermaier, H., Hamann, B., Joy, K.I. (2014). Topological Features in Glyph-Based Corotation Visualization. In: Bremer, PT., Hotz, I., Pascucci, V., Peikert, R. (eds) Topological Methods in Data Analysis and Visualization III. Mathematics and Visualization. Springer, Cham. https://doi.org/10.1007/978-3-319-04099-8_17

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