Finite Time Steady Vector Field Topology

Friederici, A.; Günther, T.; Rössl, C.; Theisel, H.

Finite Time Steady Vector Field Topology

Files

001-002.pdf (5.64 MB)

Date

2016

Authors

Friederici, A.
Günther, T.
Rössl, C.
Theisel, H.

Publisher

The Eurographics Association

Abstract

Vector Field Topology describes the asymptotic behavior of a flow in a vector field, i.e., the behavior for an integration time converging towards infinity. For some applications, a segmentation of the flow into areas of similar behavior for a finite integration time is desired. We introduce an approach for a finite-time segmentation of a steady vector field and equip the separatrices with additional information on how the separation evolves at each point with ongoing integration time. We analyze this behavior and its distribution along a separatrix, and provide a visual encoding for the 2D and 3D case. The result is an augmented topological skeleton. We demonstrate the approach on several artificial and simulated vector fields.

        @inproceedings{10.2312:vmv.20161457
,
booktitle = {Vision, Modeling & Visualization
},
editor = {Oleg Lobachev
},
title = {{Finite Time Steady Vector Field Topology
}},
author = {Friederici, A. and 
Günther, T. and 
Rössl, C. and 
Theisel, H.
},
year = {2016
},
publisher = {The Eurographics Association
},
ISBN = {978-3-03868-025-3
},
DOI = {10.2312/vmv.20161457
}
}