Visualization of 4D Vector Field Topology

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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
The Eurographics Association and John Wiley & Sons Ltd.
Abstract
In this paper, we present an approach to the topological analysis of four-dimensional vector fields. In analogy to traditional 2D and 3D vector field topology, we provide a classification and visual representation of critical points, together with a technique for extracting their invariant manifolds. For effective exploration of the resulting four-dimensional structures, we present a 4D camera that provides concise representation by exploiting projection degeneracies, and a 4D clipping approach that avoids self-intersection in the 3D projection. We exemplify the properties and the utility of our approach using specific synthetic cases.
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CCS Concepts Human

        
@article{
10.1111:cgf.13421
, journal = {Computer Graphics Forum}, title = {{
Visualization of 4D Vector Field Topology
}}, author = {
Hofmann, Lutz
 and
Rieck, Bastian
 and
Sadlo, Filip
}, year = {
2018
}, publisher = {
The Eurographics Association and John Wiley & Sons Ltd.
}, ISSN = {
1467-8659
}, DOI = {
10.1111/cgf.13421
} }
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