This is a talk about an approach to extracting a path line oriented
topological segmentation for periodic 2D time-dependent 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. This approach detects critical path
lines as well as basins from which the path lines.