@article{Obermaier:2012:TFV,
| title | = | "Topological Flow Volume Extraction from Time-Surface Maps", |
| journal | = | "Computer Aided Geometric Design", |
| author | = | "Harald
Obermaier AND Martin
Hering-Bertram AND Hans
Hagen ", |
| year | = | "2012", |
| keywords | = | "path line, volume, topology, surface, flow transfer function, Lagrangian interpolation", |
| url | = | "http://www.sciencedirect.com/science/article/pii/S0167839612000441", |
| publisher | = | "Elsevier", |
| 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.", |
