Static Visualization of Unsteady Flows by Flow Steadification

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Date
2020
Authors
Wolligandt, Steve
Wilde, Thomas
Rössl, Christian
Theisel, Holger
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association
Abstract
Finding 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.
Description

        
@inproceedings{
10.2312:vmv.20201192
,
booktitle = {
Vision, Modeling, and Visualization
},
editor = {
Krüger, Jens and Niessner, Matthias and Stückler, Jörg
},
title = {{
Static Visualization of Unsteady Flows by Flow Steadification
}},
author = {
Wolligandt, Steve
 and 
Wilde, Thomas
 and 
Rössl, Christian
 and 
Theisel, Holger
},
year = {
2020
},
publisher = {
The Eurographics Association
},
ISBN = {
978-3-03868-123-6
},
DOI = {
10.2312/vmv.20201192
}
}
Citation
URI
https://doi.org/10.2312/vmv.20201192
 https://diglib.eg.org:443/handle/10.2312/vmv20201192
Collections
VMV2020