Abstract | ||
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We introduce an approach to visualize stationary 2D vector fields with global uncertainty obtained by considering the transport of local uncertainty in the flow. For this, we extend the concept of vector field topology to uncertain vector fields by considering the vector field as a density distribution function. By generalizing the concepts of stream lines and critical points we obtain a number of density fields representing an uncertain topological segmentation. Their visualization as height surfaces gives insight into both the flow behavior and its uncertainty. We present a Monte Carlo approach where we integrate probabilistic particle paths, which lead to the segmentation of topological features. Moreover, we extend our algorithms to detect saddle points and present efficient implementations. Finally, we apply our technique to a number of real and synthetic test data sets. |
Year | DOI | Venue |
---|---|---|
2010 | 10.1111/j.1467-8659.2009.01604.x | COMPUTER GRAPHICS FORUM |
Field | DocType | Volume |
Topology,Monte Carlo method,Weak topology,Saddle point,Segmentation,Vector field,Computer science,Vector flow,Test data,Probabilistic logic | Journal | 29.0 |
Issue | ISSN | Citations |
2.0 | 0167-7055 | 35 |
PageRank | References | Authors |
1.25 | 7 | 4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Mathias Otto | 1 | 80 | 4.72 |
Tobias Germer | 2 | 147 | 8.02 |
Hans-Christian Hege | 3 | 1319 | 102.92 |
Holger Theisel | 4 | 1479 | 99.18 |