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Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields Corresponding Publication
Logo One of the reasons that topological methods have a limited popularity for the visualization of complex 3D flow fields is the fact that such topological structures contain a number of separating stream surfaces. Since these stream surfaces tend to hide each other as well as other topological features, for complex 3D topologies the visualizations become cluttered and hardly interpretable. This paper proposes to use particular stream lines called saddle connectors instead of separating stream surfaces and to depict single surfaces only on user demand. We discuss properties and computational issues of saddle connectors and apply these methods to complex flow data. We show that the use of saddle connectors makes topological skeletons available as a valuable visualization tool even for topologically complex 3D flow data. H. Theisel, T. Weinkauf, H.-C. Hege, H.-P. Seidel
Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields
Proc. IEEE Visualization 2003, Seattle, U.S.A., October 19 - 24, 2003
[slideshow]
Flow behind a circular cylinder. 13 critical points and 9 saddle connectors have been detected and visualized. Additional LIC planes have been placed to show the correspondence between the skeleton and the flow.
Flow behind a circular cylinder. 13 critical points and 9 saddle connectors have been detected and visualized. Additional LIC planes have been placed to show the correspondence between the skeleton and the flow.
Topological skeleton including separation surfaces of the electrostatic field around the benzene molecule. Cover image of Vis03 Proceedings.
Topological skeleton including separation surfaces of the electrostatic field around the benzene molecule. Cover image of Vis03 Proceedings.
Topological skeleton including saddle connectors of the electrostatic field around the benzene molecule. Cover image of Vis03 Proceedings.
Topological skeleton including saddle connectors of the electrostatic field around the benzene molecule. Cover image of Vis03 Proceedings.
AModeAusschnitt
AModeAusschnitt
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AModeBlueGradient
BenzeneTeaserIcons
BenzeneTeaserIcons
BenzeneTopoSCFront
BenzeneTopoSCFront
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ClosedSepCurveSurf
Collapsing
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FirstSCRibbon
FirstSCRibbon
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NoIntersection
RepellingSaddleSep
RepellingSaddleSep
SCDefSC
SCDefSC
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SCDefSurfaces
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SchnittRibbonBefore
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SchnittRibbonFound
SchnittRibbonOverview
SchnittRibbonOverview
SchnittRibbonSC
SchnittRibbonSC
TwoIntersections
TwoIntersections
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