Friederici, A.Günther, T.Rössl, C.Theisel, H.Oleg Lobachev2017-09-252017-09-252016978-3-03868-025-3https://doi.org/10.2312/vmv.20161457https://diglib.eg.org:443/handle/10.2312/vmv20161457Vector 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.10.2312/vmv.201614571-2