Topology and mechanics with computer graphics
Advances in Applied Mathematics
A new algorithm for the numerical approximation of an invariant curve
SIAM Journal on Scientific and Statistical Computing
Visualizing the behavior of higher dimensional dynamical systems
VIS '97 Proceedings of the 8th conference on Visualization '97
Automatic detection of open and closed separation and attachment lines
Proceedings of the conference on Visualization '98
Vector fields simplification — a case study of visualizing climate modeling and simulation data sets
Proceedings of the conference on Visualization '00
On the Approximation of Complicated Dynamical Behavior
SIAM Journal on Numerical Analysis
Proceedings of the conference on Visualization '01
Visualizing Nonlinear Vector Field Topology
IEEE Transactions on Visualization and Computer Graphics
Detection and Visualization of Closed Streamlines in Planar Flows
IEEE Transactions on Visualization and Computer Graphics
Visualizing Vector Field Topology in Fluid Flows
IEEE Computer Graphics and Applications
Qualitative Analysis of Invariant Tori in a Dynamical System
VIS '95 Proceedings of the 6th conference on Visualization '95
A tool for visualizing the topology of three-dimensional vector fields
VIS '91 Proceedings of the 2nd conference on Visualization '91
Constructing stream surfaces in steady 3D vector fields
VIS '92 Proceedings of the 3rd conference on Visualization '92
Detection and Visualization of Defects in 3D Unstructured Models of Nematic Liquid Crystals
IEEE Transactions on Visualization and Computer Graphics
Topologically relevant stream surfaces for flow visualization
Proceedings of the 25th Spring Conference on Computer Graphics
A Quantized Boundary Representation of 2D Flows
Computer Graphics Forum
Structure-accentuating dense flow visualization
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Closed stream lines in uncertain vector fields
Proceedings of the 27th Spring Conference on Computer Graphics
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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 3D 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 faces and detects structurally stable closed streamlines. These global features are not detected by conventional topology and feature detection algorithms.