IEEE Transactions on Visualization and Computer Graphics · 2001 · 143 citations · 14 references
Geometric ModelingEngineeringClosed StreamlinesGeometric FlowNatural SciencesFluid MechanicsFeature Detection AlgorithmsAerodynamicsTopological Data AnalysisTopological RepresentationComputer SciencePlanar FlowsFlow MeasurementMultiphase FlowEdge DetectionComputational GeometryComputational TopologyConventional Topology
The analysis and visualization of flows is a central problem in visualization. Topology-based methods have gained increasing interest in recent years. This article describes a method for the detection of closed streamlines in flows. It is based on a special treatment of cases where a streamline reenters a cell to prevent infinite cycling during streamline calculation. The algorithm checks for possible exits of a loop of crossed edges and detects structurally stable closed streamlines. These global features are not detected by conventional topology and feature detection algorithms.
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William H. Press, Saul A. Teukolsky, William T. Vetterling et al. · 1994 · 15.3K citations
Mathematical Programming, Numerical Analysis, Electrical Engineering +11