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Topological Construction and Visualization of Higher Order 3D Vector Fields Corresponding Publication
Logo We present the first algorithm for constructing 3D vector fields based on their topological skeleton. The skeleton itself is modeled by interactively moving a number of control polygons. Then a piecewise linear vector field is automatically constructed which has the same topological skeleton as modeled before. This approach is based on a complete segmentation of the areas around critical points into sectors of different flow behavior. Based on this, we present the first approach to visualizing higher order critical points of 3D vector fields. T. Weinkauf, H. Theisel, H.-C. Hege, H.-P. Seidel
Topological Construction and Visualization of Higher Order 3D Vector Fields
Computer Graphics Forum (Proc. Eurographics) 23(3), September 2004
[slideshow]
Separation surfaces of a modeled vector field, which has been constructed using 3 saddle points and a number of saddle connectors.
Separation surfaces of a modeled vector field, which has been constructed using 3 saddle points and a number of saddle connectors.
Modeled topological skeleton surrounded by tetraeders of the automatically generated piecewise linear vector field containing the modeled topology.
Modeled topological skeleton surrounded by tetraeders of the automatically generated piecewise linear vector field containing the modeled topology.
AttractingNodeIcon
AttractingNodeIcon
BubbleSkeleton
BubbleSkeleton
BubbleSortISLLIC
BubbleSortISLLIC
BubbleSortSkeleton
BubbleSortSkeleton
Connectors
Connectors
CubicCurveTheorem
CubicCurveTheorem
GCPCollection_0_1
GCPCollection_0_1
GCPCollection_0_4
GCPCollection_0_4
GCPCollection_1_1
GCPCollection_1_1
GCPCollection_1_2
GCPCollection_1_2
GCPCollection_2_0
GCPCollection_2_0
GCPCollection_5_0
GCPCollection_5_0
GCPCollection_Face
GCPCollection_Face
InoutCurves
InoutCurves
ModellingConnIconWithPoints
ModellingConnIconWithPoints
ModellingConnSkeleton
ModellingConnSkeleton
ModellingGCPIconElliptic
ModellingGCPIconElliptic
ModellingGCPIconHyperbolic
ModellingGCPIconHyperbolic
ModellingGCPSkeletonWS
ModellingGCPSkeletonWS
ModellingGCPSurfaces
ModellingGCPSurfaces
RotorDesign
RotorDesign
RotorGrid
RotorGrid
RotorGridTetGen
RotorGridTetGen
RotorSCISL
RotorSCISL
RotorSepSurfTop
RotorSepSurfTop
Sectors2D
Sectors2D
Sectors3D_1
Sectors3D_1
Sectors3D_2
Sectors3D_2
Subdivision
Subdivision
SubdivisionConnFine
SubdivisionConnFine
SubdivisionConnIntersection
SubdivisionConnIntersection
TetraExplainAll
TetraExplainAll
TetraExplainElliptic
TetraExplainElliptic
TetraExplainHyperbolic
TetraExplainHyperbolic
TetraExplainParabolic
TetraExplainParabolic
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