Path Line Oriented Topology for Periodic 2D Time-Dependent Vector Fields

Shi, K.; Theisel, H.; Weinkauf, T.; Hauser, H.; Hege, H.-C.; Seidel, H.-P.

Path Line Oriented Topology for Periodic 2D Time-Dependent Vector Fields

Files

139-146.pdf (961.1 KB)

Date

2006

Authors

Shi, K.
Theisel, H.
Weinkauf, T.
Hauser, H.
Hege, H.-C.
Seidel, H.-P.

Publisher

The Eurographics Association

Abstract

This paper presents an approach to extracting a path line oriented topological segmentation for periodic 2D timedependent vector fields. Topological methods aiming in capturing the asymptotic behavior of path lines rarely exist because path lines are usually only defined over a fixed time-interval, making statements about their asymptotic behavior impossible. For the data class of periodic vector fields, this restriction does not apply any more. Our approach detects critical path lines as well as basins from which the path lines converge to the critical ones. We demonstrate our approach on a number of test data sets.

        @inproceedings{:10.2312/VisSym/EuroVis06/139-146
,
booktitle = {EUROVIS - Eurographics /IEEE VGTC Symposium on Visualization
},
editor = {Beatriz Sousa Santos and Thomas Ertl and Ken Joy
},
title = {{Path Line Oriented Topology for Periodic 2D Time-Dependent Vector Fields
}},
author = {Shi, K. and 
Theisel, H. and 
Weinkauf, T. and 
Hauser, H. and 
Hege, H.-C. and 
Seidel, H.-P.
},
year = {2006
},
publisher = {The Eurographics Association
},
ISSN = {1727-5296
},
ISBN = {3-905673-31-2
},
DOI = {/10.2312/VisSym/EuroVis06/139-146
}
}