Multivariate statistical methods: a primer
Multivariate statistical methods: a primer
The design and analysis of spatial data structures
The design and analysis of spatial data structures
VIS '97 Proceedings of the 8th conference on Visualization '97
Wavelets over curvilinear grids
Proceedings of the conference on Visualization '98
Efficient Streamline, Streamribbon, and Streamtube Constructions on Unstructured Grids
IEEE Transactions on Visualization and Computer Graphics
Visualizing and Modeling Scattered Multivariate Data
IEEE Computer Graphics and Applications
A level-set method for flow visualization
Proceedings of the conference on Visualization '00
Topology preserving compression of 2D vector fields
Proceedings of the conference on Visualization '00
A continuous clustering method for vector fields
Proceedings of the conference on Visualization '00
A topology simplification method for 2D vector fields
Proceedings of the conference on Visualization '00
Best quadratic spline approximation for hierarchical visualization
VISSYM '02 Proceedings of the symposium on Data Visualisation 2002
Topology-Preserving Smoothing of Vector Fields
IEEE Transactions on Visualization and Computer Graphics
A Phase Field Model for Continuous Clustering on Vector Fields
IEEE Transactions on Visualization and Computer Graphics
Comparison of Remote Visualization Strategies for Interactive Exploration of Large Data Sets
IPDPS '01 Proceedings of the 15th International Parallel & Distributed Processing Symposium
Topology Preserving Top-Down Compression of 2D Vector Fields Using Bintree and Triangular Quadtrees
IEEE Transactions on Visualization and Computer Graphics
Comparative Flow Visualization
IEEE Transactions on Visualization and Computer Graphics
Flow Field Clustering via Algebraic Multigrid
VIS '04 Proceedings of the conference on Visualization '04
Hierarchical Clustering for Unstructured Volumetric Scalar Fields
Proceedings of the 14th IEEE Visualization 2003 (VIS'03)
Hierarchical clustering of large volumetric datasets
GRAPHITE '05 Proceedings of the 3rd international conference on Computer graphics and interactive techniques in Australasia and South East Asia
Segmentation of Discrete Vector Fields
IEEE Transactions on Visualization and Computer Graphics
IEEE Transactions on Visualization and Computer Graphics
Parallel hierarchical visualization of large time-varying 3D vector fields
Proceedings of the 2007 ACM/IEEE conference on Supercomputing
Manifold learning of vector fields
ISNN'06 Proceedings of the Third international conference on Advances in Neural Networks - Volume Part I
Visualization of 4D Blood-Flow Fields by Spatiotemporal Hierarchical Clustering
Computer Graphics Forum
Vector and tensor field topology simplification on irregular grids
EGVISSYM'01 Proceedings of the 3rd Joint Eurographics - IEEE TCVG conference on Visualization
| Hi-index | 0.00 |
We present a method for the hierarchical representation of vector fields. Our approach is based on iterative refinement using clustering and principal component analysis. The input to our algorithm is a discrete set of points with associated vectors. The algorithm generates a top-down segmentation of the discrete field by splitting clusters of points. We measure the error of the various approximation levels by measuring the discrepancy between streamlines generated by the original discrete field and its approximations based on much smaller discrete data sets. Our method assumes no particular structure of the field, nor does it require any topological connectivity information. It is possible to generate multiresolution representations of vector fields using this approach.