Static Visualization of Unsteady Flows by Flow Steadification

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dc.contributor.authorWolligandt, Steveen_US
dc.contributor.authorWilde, Thomasen_US
dc.contributor.authorRössl, Christianen_US
dc.contributor.authorTheisel, Holgeren_US
dc.contributor.editorKrüger, Jens and Niessner, Matthias and Stückler, Jörgen_US
dc.date.accessioned2020-09-27T18:14:11Z
dc.date.available2020-09-27T18:14:11Z
dc.date.issued2020
dc.description.abstractFinding static visual representations of time-varying phenomena is a standard problem in visualization. We are interested in unsteady flow data, i.e., we want to find a static visualization - one single still image - that shows as much of the global behavior of particle trajectories (path lines) as possible. We propose a new approach, which we call steadification: given a time-dependent flow field v, we construct a new steady vector field w such that the stream lines of w correspond to the path lines of v. With this, the temporal behavior of v can be visualized by using standard methods for steady vector field visualization. We present a formal description as a constraint optimization that can be mapped to finding a set cover, a NP-hard problem that is solved approximately and fairly efficiently by a greedy algorithm. As an application, we introduce the first 2D image-based flow visualization technique that shows the behavior of path lines in a static visualization, even if the path lines have a significantly different behavior than stream lines.en_US
dc.description.sectionheadersFlow Visualization
dc.description.seriesinformationVision, Modeling, and Visualization
dc.identifier.doi10.2312/vmv.20201192
dc.identifier.isbn978-3-03868-123-6
dc.identifier.pages99-106
dc.identifier.urihttps://doi.org/10.2312/vmv.20201192
dc.identifier.urihttps://diglib.eg.org:443/handle/10.2312/vmv20201192
dc.publisherThe Eurographics Associationen_US
dc.titleStatic Visualization of Unsteady Flows by Flow Steadificationen_US
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