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Selective visualization of vortices in hydrodynamic flows
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Construction of vector field hierarchies
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Simplified representation of vector fields
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The “parallel vectors” operator: a vector field visualization primitive
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Anisotropic nonlinear diffusion in flow visualization
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Geometric verification of swirling features in flow fields
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Feature Extraction and Iconic Visualization
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Visualizing Vector Field Topology in Fluid Flows
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Interactive feature specification for focus+context visualization of complex simulation data
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Topological Segmentation in Three-Dimensional Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Flow Field Clustering via Algebraic Multigrid
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Exploring Connectivity of the Brain's White Matter with Dynamic Queries
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)
Topological Visualization of Brain Diffusion MRI Data
IEEE Transactions on Visualization and Computer Graphics
Efficient construction of flow structures
VIIP '07 The Seventh IASTED International Conference on Visualization, Imaging and Image Processing
Nearly Recurrent Components in 3D Piecewise Constant Vector Fields
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Parallel particle advection and FTLE computation for time-varying flow fields
SC '12 Proceedings of the International Conference on High Performance Computing, Networking, Storage and Analysis
Supporting exploratory analysis with the select & slice table
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Predicates are functions that return Boolean values. They are an essential tool in computer science. A close look at flow feature definitions reveals that they can be seen as point predicates that tell if a specific feature exists at a certain point. Besides the information about features, scientists and engineers like to know the overall behavior of all streamlines in the flow, typically in the connection with the important features in their application domain. We call this a structure definition for the flow. A successful example for a structure definition is flow topology. In this paper, we present streamline predicates as functions that tell the user about the connection between streamlines and features selected by the user. This means answers to questions like: Which streamlines flow through a given vortex, separation bubble, or shock wave? It can be shown that streamline predicates may refine flow topology so that it also reveals questions about vortices in 3D.