Visualizing Vector Field Topology in Fluid Flows
IEEE Computer Graphics and Applications
A tool for visualizing the topology of three-dimensional vector fields
VIS '91 Proceedings of the 2nd conference on Visualization '91
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A topology simplification method for 2D vector fields
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Hierarchical morse complexes for piecewise linear 2-manifolds
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Continuous topology simplification of planar vector fields
Proceedings of the conference on Visualization '01
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
Topology Preserving Top-Down Compression of 2D Vector Fields Using Bintree and Triangular Quadtrees
IEEE Transactions on Visualization and Computer Graphics
Combining Topological Simplification and Topology Preserving Compression for 2D Vector Fields
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Comparative Flow Visualization
IEEE Transactions on Visualization and Computer Graphics
Vorticity Based Flow Analysis and Visualization for Pelton Turbine Design Optimization
VIS '04 Proceedings of the conference on Visualization '04
Stream Line and Path Line Oriented Topology for 2D Time-Dependent Vector Fields
VIS '04 Proceedings of the conference on Visualization '04
Topological Methods for 2D Time-Dependent Vector Fields Based on Stream Lines and Path Lines
IEEE Transactions on Visualization and Computer Graphics
Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Segmentation of Discrete Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Proceedings of the 2006 ACM symposium on Solid and physical modeling
A Topological Approach to Simplification of Three-Dimensional Scalar Functions
IEEE Transactions on Visualization and Computer Graphics
Understanding the Structure of the Turbulent Mixing Layer in Hydrodynamic Instabilities
IEEE Transactions on Visualization and Computer Graphics
Computer-Aided Design
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Galilean invariant extraction and iconic representation of vortex core lines
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Vector and tensor field topology simplification on irregular grids
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
Boundary switch connectors for topological visualization of complex 3D vector fields
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Path line oriented topology for periodic 2D time-dependent vector fields
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Energy-scale aware feature extraction for flow visualization
EuroVis'11 Proceedings of the 13th Eurographics / IEEE - VGTC conference on Visualization
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Visualization of topological information of a vector field can provide useful information on the structure of the field. However, in turbulent flows standard critical point visualization will result in a cluttered image which is difficult to interpret. This paper presents a technique for collapsing topologics. The governing idea is to classify the importance of the critical points in the topology. By only displaying the more important critical points, a simplified depiction of the topology can be provided. Flow consistency is maintained when collapsing the topology, resulting in a visualization which is consistent with the original topology. We apply the collapsing topology technique to a turbulent flow field.