Vector field analysis and synthesis using three-dimensional phase portraits
Graphical Models and Image Processing
Visualization of scalar topology for structural enhancement
Proceedings of the conference on Visualization '98
Feature comparisons of vector fields using earth mover's distance
Proceedings of the conference on Visualization '98
Feature comparisons of 3-D vector fields using earth mover's distance
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Collapsing flow topology using area metrics
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Topology preserving compression of 2D vector fields
Proceedings of the conference on Visualization '00
A topology simplification method for 2D vector fields
Proceedings of the conference on Visualization '00
Hierarchical morse complexes for piecewise linear 2-manifolds
SCG '01 Proceedings of the seventeenth annual symposium on Computational geometry
A tetrahedra-based stream surface algorithm
Proceedings of the conference on Visualization '01
Continuous topology simplification of planar vector fields
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
Topology-Preserving Smoothing of Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Visualizing Vector Field Topology in Fluid Flows
IEEE Computer Graphics and Applications
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
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
VIS '93 Proceedings of the 4th conference on Visualization '93
Stream surface generation for fluid flow solutions on curvilinear grids
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
Topology-based visualization of time-dependent 2D vector fields
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
Rendering Implicit Flow Volumes
VIS '04 Proceedings of the conference on Visualization '04
Visualization of Intricate Flow Structures for Vortex Breakdown Analysis
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
Tracking of Vector Field Singularities in Unstructured 3D Time-Dependent Datasets
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
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
Nested OpenMP for efficient computation of 3D critical points in multi-block CFD datasets
Proceedings of the 2006 ACM/IEEE conference on Supercomputing
Computation of Localized Flow for Steady and Unsteady Vector Fields and Its Applications
IEEE Transactions on Visualization and Computer Graphics
Topological Landscapes: A Terrain Metaphor for Scientific Data
IEEE Transactions on Visualization and Computer Graphics
GI '08 Proceedings of graphics interface 2008
Visualizing Katrina - merging computer simulations with observations
PARA'06 Proceedings of the 8th international conference on Applied parallel computing: state of the art in scientific computing
Technical Section: Example-based interactive illustration of multi-field datasets
Computers and Graphics
3D winding number: theory and application to medical imaging
Journal of Biomedical Imaging - Special issue on modern mathematics in biomedical imaging
Topologically relevant stream surfaces for flow visualization
Proceedings of the 25th Spring Conference on Computer Graphics
Segmentation and visualization of multivariate features using feature-local distributions
ISVC'11 Proceedings of the 7th international conference on Advances in visual computing - Volume Part I
Automatic Stream Surface Seeding: A Feature Centered Approach
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
Localized flow analysis of 2D and 3D vector fields
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Galilean invariant extraction and iconic representation of vortex core lines
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Visualization methods for vortex rings and vortex breakdown bubbles
EUROVIS'07 Proceedings of the 9th 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
Structure-accentuating dense flow visualization
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
Technical Section: Surface-based flow visualization
Computers and Graphics
Topology aware stream surfaces
EuroVis'10 Proceedings of the 12th 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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One of the reasons that topological methods have a limited popularity for the visualization of complex 3D flow fields is the fact that such topological structures contain a number of separating stream surfaces. Since these stream surfaces tend to hide each other as well as other topological features, for complex 3D topologies the visualizations become cluttered and hardly interpretable. This paper proposes to use particular stream lines called saddle connectors instead of separating stream surfaces and to depict single surfaces only on user demand. We discuss properties and computational issues of saddle connectors and apply these methods to complex flow data. We show that the use of saddle connectors makes topological skeletons available as a valuable visualization tool even for topologically complex 3D flow data.