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Topological Methods for 2D Time-Dependent Vector Fields Based on Stream Lines and Path Lines Corresponding Publication
Logo 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. H. Theisel, T. Weinkauf, H.-C. Hege, H.-P. Seidel
Topological Methods for 2D Time-Dependent Vector Fields Based on Stream Lines and Path Lines
IEEE Transactions on Visualization and Computer Graphics 11(4), July - August 2005
[slideshow]
2D time-dependent flow at a cavity. Stream line oriented topology of the first 100 time steps. Cover image of EuroVis06 Proceedings.
2D time-dependent flow at a cavity. Stream line oriented topology of the first 100 time steps. Cover image of EuroVis06 Proceedings.
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