Algebraic multigrid theory: The symmetric case
Applied Mathematics and Computation - Second Copper Mountain conference on Multigrid methods Copper Mountain, Colorado
Image-guided streamline placement
SIGGRAPH '96 Proceedings of the 23rd annual conference on Computer graphics and interactive techniques
Applied Numerical Mathematics - Special issue on multilevel methods
The visualization toolkit (2nd ed.): an object-oriented approach to 3D graphics
The visualization toolkit (2nd ed.): an object-oriented approach to 3D graphics
Construction of vector field hierarchies
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Simplified representation of vector fields
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
ACM Computing Surveys (CSUR)
Vortex tracking in scale-space
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Image based flow visualization
Proceedings of the 29th annual conference on Computer graphics and interactive techniques
Algebraic Multigrid Based on Element Interpolation (AMGe)
SIAM Journal on Scientific Computing
Continuous topology simplification of planar vector fields
Proceedings of the conference on Visualization '01
Anisotropic Diffusion in Vector Field Visualization on Euclidean Domains and Surfaces
IEEE Transactions on Visualization and Computer Graphics
A Phase Field Model for Continuous Clustering on Vector Fields
IEEE Transactions on Visualization and Computer Graphics
VISSYM '03 Proceedings of the symposium on Data visualisation 2003
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
An Algebraic Multigrid Method for Linear Elasticity
SIAM Journal on Scientific Computing
Feature sensitive multiscale editing on surfaces
The Visual Computer: International Journal of Computer Graphics
Image Based Flow Visualization for Curved Surfaces
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Clifford Convolution And Pattern Matching On Vector Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
3D IBFV: Hardware-Accelerated 3D Flow Visualization
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
IEEE Transactions on Visualization and Computer Graphics
Visual exploration and evaluation of climate-related simulation data
Proceedings of the 39th conference on Winter simulation: 40 years! The best is yet to come
Parallel hierarchical visualization of large time-varying 3D vector fields
Proceedings of the 2007 ACM/IEEE conference on Supercomputing
Interactive glyph placement for tensor fields
ISVC'07 Proceedings of the 3rd international conference on Advances in visual computing - Volume Part I
Technical Section: Example-based interactive illustration of multi-field datasets
Computers and Graphics
Vector field analysis and visualization through variational clustering
EUROVIS'05 Proceedings of the Seventh Joint Eurographics / IEEE VGTC conference on Visualization
Segmentation of flow fields using pattern matching
EUROVIS'06 Proceedings of the Eighth Joint Eurographics / IEEE VGTC conference on Visualization
| Hi-index | 0.00 |
We present a novel multiscale approach for flow visualization. We define a local alignment tensor that encodes a measure for alignment to the direction of a given flow field. This tensor induces an anisotropic differential operator on the flow domain, which is discretized with a standard finite element technique. The entries of the corresponding stiffness matrix represent the anisotropically weighted couplings of adjacent nodes of the domain mesh. We use an algebraic multigrid algorithm to generate a hierarchy of fine to coarse descriptions for the above coupling data. This hierarchy comprises a set of coarse grid nodes, a multiscale of basis functions and their corresponding supports. We use these supports to obtain a multilevel decomposition of the flow structure. Standard streamline icons are used to visualize this decomposition at any user-selected level of detail. The method provides a single framework for vector field decomposition independent on the domain dimension or mesh type. Applications are shown in 2D, for flow fields on curved surfaces, and for 3D volumetric flow fields.