Calculation of reference frames along a space curve
Graphics gems
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
PixelFlow: high-speed rendering using image composition
SIGGRAPH '92 Proceedings of the 19th annual conference on Computer graphics and interactive techniques
An algorithm for space recognition and time tracking of vorticity tubes in turbulence
CVGIP: Image Understanding
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Tracking a turbulent spot in an immersive environment
I3D '95 Proceedings of the 1995 symposium on Interactive 3D graphics
Parallel Polygon Rendering for Message-Passing Architectures
IEEE Parallel & Distributed Technology: Systems & Technology
A PREDICTOR-CORRECTOR SCHEME FOR VORTEX IDENTIFICATION
A PREDICTOR-CORRECTOR SCHEME FOR VORTEX IDENTIFICATION
FAST: a multi-processed environment for visualization of computational fluid dynamics
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
Visualizing wind velocities by advecting cloud textures
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
Fast volume rendering of compressed data
VIS '93 Proceedings of the 4th conference on Visualization '93
Visualization of time-dependent flow fields
VIS '93 Proceedings of the 4th conference on Visualization '93
Visualization of turbulent flow with particles
VIS '93 Proceedings of the 4th conference on Visualization '93
Vortex tubes in turbulent flows: identification, representation, reconstruction
VIS '94 Proceedings of the conference on Visualization '94
Differential volume rendering: a fast volume visualization technique for flow animation
VIS '94 Proceedings of the conference on Visualization '94
Case study: tokamak plasma turbulence visualization
VIS '94 Proceedings of the conference on Visualization '94
Tracking scalar features in unstructured datasets
Proceedings of the conference on Visualization '98
Proceedings of the conference on Visualization '98
A novel approach to vortex core region detection
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Geometric verification of swirling features in flow fields
Proceedings of the conference on Visualization '02
Feature Extraction and Iconic Visualization
IEEE Transactions on Visualization and Computer Graphics
Tracking and Visualizing Turbulent 3D Features
IEEE Transactions on Visualization and Computer Graphics
Visualizing the Dynamical Behavior of Wonderland
IEEE Computer Graphics and Applications
Automatic Vortex Core Detection
IEEE Computer Graphics and Applications
Visualizing Time-Varying Volume Data
Computing in Science and Engineering
Techniques and Applications of Deformable Surfaces
Dagstuhl '97, Scientific Visualization
Chronovolumes: a direct rendering technique for visualizing time-varying data
VG '03 Proceedings of the 2003 Eurographics/IEEE TVCG Workshop on Volume graphics
Display of Vector Fields Using a Reaction-Diffusion Model
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
Visualization of the Energy-Containing Turbulent Scales
VV '04 Proceedings of the 2004 IEEE Symposium on Volume Visualization and Graphics
Rule-based visualization in the discover computational steering collaboratory
Future Generation Computer Systems
Volume Tracking Using Higher Dimensional Isosurfacing
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
High Dimensional Direct Rendering of Time-Varying Volumetric Data
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Visualization Tools for Vorticity Transport Analysis in Incompressible Flow
IEEE Transactions on Visualization and Computer Graphics
Vortex Visualization for Practical Engineering Applications
IEEE Transactions on Visualization and Computer Graphics
Cores of Swirling Particle Motion in Unsteady Flows
IEEE Transactions on Visualization and Computer Graphics
Computation of rotation minimizing frames
ACM Transactions on Graphics (TOG)
Rule-based visualization in the Discover computational steering collaboratory
Future Generation Computer Systems
Brief notes on vortex identification
FM'11/HMT'11 Proceedings of the 8th WSEAS international conference on fluid mechanics, 8th WSEAS international conference on Heat and mass transfer
Location of tropical cyclone center with intelligent image processing technique
ICMLC'05 Proceedings of the 4th international conference on Advances in Machine Learning and Cybernetics
Galilean invariant extraction and iconic representation of vortex core lines
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Surface techniques for vortex visualization
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Efficient isosurface tracking using precomputed correspondence table
VISSYM'04 Proceedings of the Sixth Joint Eurographics - IEEE TCVG conference on Visualization
Generating time lines with virtual words for time-varying data visualization
Proceedings of the 5th International Symposium on Visual Information Communication and Interaction
Topology-preserving λ2-based vortex core line detection for flow visualization
EuroVis'08 Proceedings of the 10th 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
Visualization and analysis of 3D time-varying simulations with time lines
Journal of Visual Languages and Computing
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We present a method for visualizing unsteady flow by displaying its vortices. The vortices are identified by using a vorticity-predictor pressure-corrector scheme that follows vortex cores. The cross-sections of a vortex at each point along the core can be represented by a Fourier series. A vortex can be faithfully reconstructed from the series as a simple quadrilateral mesh, or its reconstruction can be enhanced to indicate helical motion. The mesh can reduce the representation of the flow features by a factor of one thousand or more compared with the volumetric dataset. With this amount of reduction it is possible to implement an interactive system on a graphics workstation to permit a viewer to examine, in three dimensions, the evolution of the vortical structures in a complex, unsteady flow.