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Topological Representations of Vector Fields

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Shape Analysis and Structuring

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

This chapter gives an overview on topological methods for vector field processing. After introducing topological features for 2D and 3D vector fields, we discuss how to extract and use them as visualization tools for complex flow phenomena. We do so both for static and dynamic fields. Finally, we introduce further applications of topological methods for compressing, simplifying, comparing, and constructing vector fields.

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Author information

Authors and Affiliations

  1. Bielefeld University, Germany

    Holger Theisel

  2. INRIA Sophia-Antipolis, France

    Christian Rössl

  3. Zuse Institute Berlin (ZIB), Germany

    Tino Weinkauf

Authors
  1. Holger Theisel
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  2. Christian Rössl
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  3. Tino Weinkauf
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Editor information

Editors and Affiliations

  1. Department of Computer and Information Sciences (DISI), University of Genova, Via Dodecaneso, 35, 16146, Genova, Italy

    Leila De Floriani

  2. Department of Computer Science, University of Maryland, College Park, MD 20740, USA

    Leila De Floriani

  3. Istituto per la Matematica Applicata e le Tecnologie Informatiche, Consiglio Nazionale delle Ricerche, Via De Marini, 6, 16149, Genova, Italy

    Michela Spagnuolo

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Theisel, H., Rössl, C., Weinkauf, T. (2008). Topological Representations of Vector Fields. In: De Floriani, L., Spagnuolo, M. (eds) Shape Analysis and Structuring. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-33265-7_7

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