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Stream Line and Path Line Oriented Topology for 2D Time-Dependent Vector Fields Corresponding Publication
Logo Topological methods aim at the segmentation of a vector field into areas of different flow behavior. For 2D time-dependent vector fields, two such segmentations are possible: either concerning the behavior of stream lines, or of path lines. While stream line oriented topology is 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. 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 data sets. H. Theisel, T. Weinkauf, H.-C. Hege, H.-P. Seidel
Stream Line and Path Line Oriented Topology for 2D Time-Dependent Vector Fields
Proc. IEEE Visualization 2004, Austin, U.S.A., October 10 - 15, 2004
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ANoiseDetail
ANoiseDetail
ANoiseLICExplain
ANoiseLICExplain
ANoiseNoEvents
ANoiseNoEvents
ANoiseStreamTopo
ANoiseStreamTopo
BlueSkyClosedStreamlines
BlueSkyClosedStreamlines
BlueSkyConnection
BlueSkyConnection
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BlueSkyLIC
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BlueSkySepSurfaces
CyclicFoldLIC256
CyclicFoldLIC256
CyclicFoldSurface
CyclicFoldSurface
Cylinder2DPathISL
Cylinder2DPathISL
Cylinder2DPathTopo
Cylinder2DPathTopo
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Cylinder2DStreamISL
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Cylinder2DStreamTopoDetail
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Cylinder2DStreamTopoLIC
ExtractSaddleConnection
ExtractSaddleConnection
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ExtractSaddleConnectionSepSurfOpaque
PathSectors
PathSectors
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SCDefSC
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SCDefSurfaces
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SimpleFeatures
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SimpleFeaturesSepSurf
StreamPathDiff_LIC_t0
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StreamPathDiff_Pathlines
StreamPathDiff_Pathlines
StreamPathDiff_Streamlines
StreamPathDiff_Streamlines
TrackingCSLSConnector
TrackingCSLSConnector
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TrackingCSLSSurfaces
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