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Localizing Vector Field Topology

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Data Visualization

Abstract

The topology of vector fields offers a well known way to show a “condensed” view of the stream line behavior of a vector field. The global structure of a field can be shown without time-consuming user interaction. With regard to large data visualization, one encounters a major drawback: the necessity to analyze a whole data set, even when interested in only a small region. We show that one can localize the topology concept by including the boundary in the topology analysis. The idea is demonstrated for a turbulent swirling jet simulation example. Our concept works for all planar, piecewise analytic vector fields on bounded domains.

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© 2003 Springer Science+Business Media Dordrecht

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Scheuermann, G., Hamann, B., Joy, K.I., Kollmann, W. (2003). Localizing Vector Field Topology. In: Post, F.H., Nielson, G.M., Bonneau, GP. (eds) Data Visualization. The Springer International Series in Engineering and Computer Science, vol 713. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1177-9_2

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  • DOI: https://doi.org/10.1007/978-1-4615-1177-9_2

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5430-7

  • Online ISBN: 978-1-4615-1177-9

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