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
Visualizing diffusion tensor images of the mouse spinal cord
Proceedings of the conference on Visualization '98
Simplified representation of vector fields
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Interactive exploration of volume line integral convolution based on 3D-texture mapping
VIS '99 Proceedings of the conference on Visualization '99: celebrating ten years
Quantitative comparative evaluation of 2D vector field visualization methods
Proceedings of the conference on Visualization '01
A Phase Field Model for Continuous Clustering on Vector Fields
IEEE Transactions on Visualization and Computer Graphics
PG '02 Proceedings of the 10th Pacific Conference on Computer Graphics and Applications
Discrete multiscale vector field decomposition
ACM SIGGRAPH 2003 Papers
Texture Synthesis for 3D Shape Representation
IEEE Transactions on Visualization and Computer Graphics
A tool for visualizing the topology of three-dimensional vector fields
VIS '91 Proceedings of the 2nd conference on Visualization '91
Strategies for interactive exploration of 3D flow using evenly-spaced illuminated streamlines
SCCG '03 Proceedings of the 19th spring conference on Computer graphics
Variational shape approximation
ACM SIGGRAPH 2004 Papers
Flow Field Clustering via Algebraic Multigrid
VIS '04 Proceedings of the conference on Visualization '04
Centroidal Voronoi Tessellation Based Algorithms for Vector Fields Visualization and Segmentation
VIS '04 Proceedings of the conference on Visualization '04
Compression of time varying isosurfaces
GI '06 Proceedings of Graphics Interface 2006
On centroidal voronoi tessellation—energy smoothness and fast computation
ACM Transactions on Graphics (TOG)
Technical Section: Example-based interactive illustration of multi-field datasets
Computers and Graphics
Parallel computing 2D Voronoi diagrams using untransformed sweepcircles
Computer-Aided Design
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Scientific computing is an increasingly crucial component of research in various disciplines. Despite its potential, exploration of the results is an often laborious task, owing to excessively large and verbose datasets output by typical simulation runs. Several approaches have been proposed to analyze, classify, and simplify such data to facilitate an informative visualization and deeper understanding of the underlying system. However, traditional methods leave much room for improvement. In this article we investigate the visualization of large vector fields, departing from accustomed processing algorithms by casting vector field simplification as a variational partitioning problem. Adopting an iterative strategy, we introduce the notion of vector "proxies" to minimize the distortion error of our simplification by clustering the dataset into multiple best-fitting characteristic regions. This error driven approach can be performed with respect to various similarity metrics, offering a convenient set of tools to design clear and succinct representations of high dimensional datasets. We illustrate the bene fits of such tools through visualization experiments of three-dimensional vector fields.