Topological Flow Volume Extraction from Time-Surface Maps

title="Topological Flow Volume Extraction from Time-Surface Maps",
journal="Computer Aided Geometric Design",
author="Harald Obermaier AND Martin Hering-Bertram AND Hans Hagen ",
keywords="path line, volume, topology, surface, flow transfer function, Lagrangian interpolation",
abstract="The input-output behavior or flow transfer function of typical mixing processes is highly relevant to the analysis of the dynamic system and its mixing quality. We aim to visualize this behavior by extracting topologically relevant flow volumes from statistics accumulated during particle traversal of the flow field. To guarantee a sufficiently dense sampling of the flow field, we use adaptive time-surfaces for the computation of these trajectory statistics. The proposed volume extraction technique operates in parameter space of the computed time-surfaces and facilitates fast extraction of boundary geometry at different levels of detail. This effectively speeds up path-volume creation in pre-sampled flow fields by replacing expensive numerical integration of trajectories by interpolation in sets of pre-computed flow trajectories. Our results visualize flow transfer functions in the form of volumes for extrema of different time-surface statistics and demonstrate their benefit for flow analysis.",
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