Visualization methods and simulation steering for a 3D turbulence model of Lake Erie
I3D '90 Proceedings of the 1990 symposium on Interactive 3D graphics
Interactive analysis of the topology of 4D vector fields
IBM Journal of Research and Development
Computerized Flow Field Analysis: Oriented Texture Fields
IEEE Transactions on Pattern Analysis and Machine Intelligence
Interactive visualization of flow fields
VVS '92 Proceedings of the 1992 workshop on Volume visualization
Singularities in nonuniform tensor fields
VIS '97 Proceedings of the 8th conference on Visualization '97
Visualization of higher order singularities in vector fields
VIS '97 Proceedings of the 8th conference on Visualization '97
Feature comparisons of vector fields using earth mover's distance
Proceedings of the conference on Visualization '98
Wavelets over curvilinear grids
Proceedings of the conference on Visualization '98
Simplified representation of vector fields
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Feature comparisons of 3-D vector fields using earth mover's distance
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Image based flow visualization
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
The Topology of Symmetric, Second-Order 3D Tensor Fields
IEEE Transactions on Visualization and Computer Graphics
Tools for Computing Tangent Curves for Linearly Varying Vector Fields over Tetrahedral Domains
IEEE Transactions on Visualization and Computer Graphics
Visualizing Vector Field Topology in Fluid Flows
IEEE Computer Graphics and Applications
Flow Visualization with Surface Particles
IEEE Computer Graphics and Applications
Automatic Vortex Core Detection
IEEE Computer Graphics and Applications
Vector Field Analysis for Oriented Patterns
IEEE Transactions on Pattern Analysis and Machine Intelligence
Acquisition of Symbolic Description from Flow Fields: A New Approach Based on a Fluid Model
IEEE Transactions on Pattern Analysis and Machine Intelligence
Visualizing Critical Points of Arbitrary Poincaré-Index
Dagstuhl '97, Scientific Visualization
2D Fluid Motion Analysis from a Single Image
CVPR '98 Proceedings of the IEEE Computer Society Conference on Computer Vision and Pattern Recognition
Combining Topological Simplification and Topology Preserving Compression for 2D Vector Fields
PG '03 Proceedings of the 11th Pacific Conference on Computer Graphics and Applications
Surface representations of two- and three-dimensional fluid flow topology
VIS '90 Proceedings of the 1st conference on Visualization '90
FAST: a multi-processed environment for visualization of computational fluid dynamics
VIS '90 Proceedings of the 1st conference on Visualization '90
Techniques for the interactive visualization of volumetric data
VIS '90 Proceedings of the 1st conference on Visualization '90
A tool for visualizing the topology of three-dimensional vector fields
VIS '91 Proceedings of the 2nd conference on Visualization '91
VIS '92 Proceedings of the 3rd conference on Visualization '92
Constructing stream surfaces in steady 3D vector fields
VIS '92 Proceedings of the 3rd conference on Visualization '92
Case study: visualizing classical problems in CFD
VIS '92 Proceedings of the 3rd conference on Visualization '92
A probe for local flow field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
VIS '93 Proceedings of the 4th conference on Visualization '93
Progressive transmission of scientific data using biorthogonal wavelet transform
VIS '94 Proceedings of the conference on Visualization '94
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
Investigating Swirl and Tumble Flow with a Comparison of Visualization Techniques
VIS '04 Proceedings of the conference on Visualization '04
Vorticity Based Flow Analysis and Visualization for Pelton Turbine Design Optimization
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
Topology Visualization of the Optical Power Flow through a Novel C-Shaped Nano-Aperture
VIS '04 Proceedings of the conference on Visualization '04
Visualizing Cortical Waves and Timing from Data
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
Rule-based visualization in the discover computational steering collaboratory
Future Generation Computer Systems
Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Segmentation of Vector Field Using Green Function and Normalized Cut
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Segmentation of Discrete Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Computation of Localized Flow for Steady and Unsteady Vector Fields and Its Applications
IEEE Transactions on Visualization and Computer Graphics
Efficient Visualization of Lagrangian Coherent Structures by Filtered AMR Ridge Extraction
IEEE Transactions on Visualization and Computer Graphics
Topological Visualization of Brain Diffusion MRI Data
IEEE Transactions on Visualization and Computer Graphics
IStar: A Raster Representation for Scalable Image and Volume Data
IEEE Transactions on Visualization and Computer Graphics
Cores of Swirling Particle Motion in Unsteady Flows
IEEE Transactions on Visualization and Computer Graphics
Describing shapes by geometrical-topological properties of real functions
ACM Computing Surveys (CSUR)
Computing the curve-skeletons of images
International Journal of Computer Mathematics
CFD visualisation: challenges of complex 3D and 4D data fields
International Journal of Computational Fluid Dynamics - CFD 2006 Held at Queens University at Kingston, Ontario, Canada, 1519 July 2006
Computing lines of curvature for implicit surfaces
Computer Aided Geometric Design
Rule-based visualization in the Discover computational steering collaboratory
Future Generation Computer Systems
An affine-model-based technique for fast DPIV computation
Image and Vision Computing
Separatrix persistence: extraction of salient edges on surfaces using topological methods
SGP '09 Proceedings of the Symposium on Geometry Processing
Difference of inflow and outflow based 3D streamline placement
Proceedings of the 3rd International Symposium on Visual Information Communication
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
Probabilistic Local Features in Uncertain Vector Fields with Spatial Correlation
Computer Graphics Forum
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
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
Interactive visual exploration of unsteady 3D flows
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
Topology aware stream surfaces
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
Toward a lagrangian vector field topology
EuroVis'10 Proceedings of the 12th Eurographics / IEEE - VGTC conference on Visualization
Hierarchical vortex regions in swirling flow
EuroVis'09 Proceedings of the 11th Eurographics / IEEE - VGTC conference on Visualization
Topological features in 2D symmetric higher-order tensor fields
EuroVis'11 Proceedings of the 13th 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
Design and evaluation of multifield visualisation techniques for 2D vector fields
Proceedings of the 27th Conference on Image and Vision Computing New Zealand
SMI 2013: Steepest descent paths on simplicial meshes of arbitrary dimensions
Computers and Graphics
Multiresolution streamline placement based on control grids
Integrated Computer-Aided Engineering
| Hi-index | 4.10 |
The visualization of physical processes in general and of vector fields in particular is discussed. An approach to visualizing flow topology that is based on the physics and mathematics underlying the physical phenomenon is presented. It involves determining critical points in the flow where the velocity vector vanishes. The critical points, connected by principal lines or planes, determine the topology of the flow. The complexity of the data is reduced without sacrificing the quantitative nature of the data set. By reducing the original vector field to a set of critical points and their connections, a representation of the topology of a two-dimensional vector field is much smaller than the original data set but retains with full precision the information pertinent to the flow topology is obtained. This representation can be displayed as a set of points and tangent curves or as a graph. Analysis (including algorithms), display, interaction, and implementation aspects are discussed.