Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
Imaging vector fields using line integral convolution
SIGGRAPH '93 Proceedings of the 20th annual conference on Computer graphics and interactive techniques
Image-guided streamline placement
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Visualization of higher order singularities in vector fields
VIS '97 Proceedings of the 8th conference on Visualization '97
The motion map: efficient computation of steady flow animations
VIS '97 Proceedings of the 8th conference on Visualization '97
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
Visualizing Vector Field Topology in Fluid Flows
IEEE Computer Graphics and Applications
FAST: a multi-processed environment for visualization of computational fluid dynamics
VIS '90 Proceedings of the 1st conference on Visualization '90
Flow volumes for interactive vector field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Texture splats for 3D scalar and vector field visualization
VIS '93 Proceedings of the 4th conference on Visualization '93
Multi-Dimensional Transfer Functions for Interactive 3D Flow Visualization
PG '04 Proceedings of the Computer Graphics and Applications, 12th Pacific Conference
Anisotropic Volume Rendering for Extremely Dense, Thin Line Data
VIS '04 Proceedings of the conference on Visualization '04
Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Dense geometric flow visualization
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
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Vector field visualization approaches can broadly be categorized into approaches that directly visualize local or integrated flow and approaches that analyze the topological structure and visualize extracted features. Our goal was to come up with a method that falls into the first category, yet reveals structural information. We have developed a dense flow visualization method that shows the overall flow behavior while accentuating structural information without performing a topological analysis. Our method is based on a geometry-based flow integration step and a texture-based visual exploration step. The flow integration step generates a density field, which is written into a texture. The density field is generated by tracing particles under the influence of the underlying vector field. When using a quasi-random seeding strategy for initialization, the resulting density is high in attracting regions and low in repelling regions. Density is measured by the number of particles per region accumulated over time. We generate one density field using forward and one using backward propagation. The density fields are explored using texture-based rendering techniques. We generate the two output images separately and blend the results, which allows us to distinguish between inflow and outflow regions. We obtained dense flow visualizations that display the overall flow behavior, emphasize critical and separating regions, and indicate flow direction in the neighborhood of these regions. We have test our method for isolated first-order singularities and real data sets.