Visualization of 4D Vector Field Topology
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Date
2018
Authors
Hofmann, Lutz
Rieck, Bastian
Sadlo, Filip
Rieck, Bastian
Sadlo, Filip
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.
Description
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}
}