Summary
Streamline predicates are simply boolean functions on the set of all streamlines in a flow field. A characteristic set of a streamline predicate is the set of all streamlines fulfilling the predicate. If streamline predicates are defined based on asymptotic behavior, the characteristic sets become α- or ω-basins. Using boolean algebra on the streamline predicates, we obtain the usual flow topology. We show that these considerations allow us to generalize flow topology to flow structure definitions. These flow structure definitions can be flexibly adapted to typical analysis tasks arising in flow studies and taylored to the users' needs
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Salzbrunn, T., Scheuermann, G. (2007). Streamline Predicates as Flow Topology Generalization. In: Hauser, H., Hagen, H., Theisel, H. (eds) Topology-based Methods in Visualization. Mathematics and Visualization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70823-0_5
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DOI: https://doi.org/10.1007/978-3-540-70823-0_5
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