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
Numerical Recipes in C: The Art of Scientific Computing
Numerical Recipes in C: The Art of Scientific Computing
On the Approximation of Complicated Dynamical Behavior
SIAM Journal on Numerical Analysis
Visualizing Nonlinear Vector Field Topology
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
Interactive 3D flow visualization using a streamrunner
CHI '02 Extended Abstracts on Human Factors in Computing Systems
Locating closed streamlines in 3D vector fields
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Continuous topology simplification of planar vector fields
Proceedings of the conference on Visualization '01
ACM SIGGRAPH 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
Topological Segmentation in Three-Dimensional Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Bicubic subdivision-surface wavelets for large-scale isosurface representation and visualization
SCCG '03 Proceedings of the 19th spring conference on Computer graphics
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)
Vector field design on surfaces
ACM Transactions on Graphics (TOG)
An Advanced Evenly-Spaced Streamline Placement Algorithm
IEEE Transactions on Visualization and Computer Graphics
Vector Field Editing and Periodic Orbit Extraction Using Morse Decomposition
IEEE Transactions on Visualization and Computer Graphics
Robust Loop Detection for Interactively Placing Evenly Spaced Streamlines
Computing in Science and Engineering
TADD: a computational framework for data analysis using discrete Morse theory
ICMS'10 Proceedings of the Third international congress conference on Mathematical software
Magnetic Flux Topology of 2D Point Dipoles
Computer Graphics Forum
A Quantized Boundary Representation of 2D Flows
Computer Graphics Forum
Nearly Recurrent Components in 3D Piecewise Constant Vector Fields
Computer Graphics Forum
Galilean invariant extraction and iconic representation of vortex core lines
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC 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
Hierarchical vortex regions in swirling flow
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
Stable morse decompositions for piecewise constant vector fields on surfaces
EuroVis'11 Proceedings of the 13th 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 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.