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Topological Methods for 2D Time-Dependent Vector Fields Based on Stream Lines and Path Lines
Zuse Institute Berlin. (Visualization and Data Analysis)ORCID iD: 0000-0002-1498-9062
2005 (English)In: IEEE Transactions on Visualization and Computer Graphics, Vol. 11, no 4, 383-394 p.Article in journal (Refereed) PublishedText
Abstract [en]

This paper describes approaches to topologically segmenting 2D time-dependent vector fields. For this class of vector fields, two important classes of lines exist: stream lines and path lines. Because of this, two segmentations are possible: either concerning the behavior of stream lines, or of path lines. While topological features based on stream lines are well established, we introduce path line oriented topology as a new visualization approach in this paper. As a contribution to stream line oriented topology we introduce new methods to detect global bifurcations like saddle connections and cyclic fold bifurcations as well as a method to tracking all isolated closed stream lines. To get the path line oriented topology we segment the vector field into areas of attracting, repelling and saddle-like behavior of the path lines. We compare both kinds of topologies and apply them to a number of test data sets.

Place, publisher, year, edition, pages
IEEE Computer Society, 2005. Vol. 11, no 4, 383-394 p.
Keyword [en]
flow visualization, vector field topology, bifurcations, stream lines, path lines
National Category
Computer Science
Research subject
Computer Science; SRA - E-Science (SeRC)
URN: urn:nbn:se:kth:diva-184751DOI: 10.1109/TVCG.2005.68ISI: 000228988200004PubMedID: 16138549OAI: diva2:916759

QC 20160406

Available from: 2016-04-04 Created: 2016-04-04 Last updated: 2016-04-06Bibliographically approved

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Weinkauf, Tino
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