TY - CHAP A1 - Theisel, Holger A1 - Sahner, Jan A1 - Weinkauf, Tino A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Extraction of parallel vector surfaces in 3D time-dependent fields and application to vortex core line tracking T2 - Proc. IEEE Visualization 2005 Y1 - 2005 SP - 559 EP - 566 CY - Minneapolis, USA ER - TY - GEN A1 - Shi, Kuangyu A1 - Theisel, Holger A1 - Weinkauf, Tino A1 - Hauser, Helwig A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Extracting separation surfaces of path line oriented topology in periodic 2D time-dependent vector fields Y1 - 2007 SP - 75 EP - 82 ER - TY - JOUR A1 - Weinkauf, Tino A1 - Sahner, Jan A1 - Theisel, Holger A1 - Hege, Hans-Christian T1 - Cores of Swirling Particle Motion in Unsteady Flows JF - IEEE Transactions on Visualization and Computer Graphics (Proceedings Visualization 2007) Y1 - 2007 U6 - https://doi.org/10.1109/TVCG.2007.70545 VL - 13 IS - 6 SP - 1759 EP - 1766 ER - TY - CHAP A1 - Weinkauf, Tino A1 - Theisel, Holger A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Boundary switch connectors for topological visualization of complex 3D vector fields T2 - Proc. Joint Eurographics - IEEE TCVG Symposium on Visualization (VisSym ’04) Y1 - 2004 SP - 183 EP - 192 CY - Konstanz, Germany ER - TY - JOUR A1 - Weinkauf, Tino A1 - Hege, Hans-Christian A1 - Theisel, Holger T1 - Advected Tangent Curves: A General Scheme for Characteristic Curves of Flow Fields JF - Computer Graphics Forum N2 - We present the first general scheme to describe all four types of characteristic curves of flow fields – stream, path, streak, and time lines – as tangent curves of a derived vector field. Thus, all these lines can be obtained by a simple integration of an autonomous ODE system. Our approach draws on the principal ideas of the recently introduced tangent curve description of streak lines. We provide the first description of time lines as tangent curves of a derived vector field, which could previously only be constructed in a geometric manner. Furthermore, our scheme gives rise to new types of curves. In particular, we introduce advected stream lines as a parameter-free variant of the time line metaphor. With our novel mathematical description of characteristic curves, a large number of feature extraction and analysis tools becomes available for all types of characteristic curves, which were previously only available for stream and path lines. We will highlight some of these possible applications including the computation of time line curvature fields and the extraction of cores of swirling advected stream lines. Y1 - 2012 U6 - https://doi.org/10.1111/j.1467-8659.2012.03063.x VL - 31 IS - 2pt4 SP - 825 EP - 834 ER - TY - CHAP A1 - Weinkauf, Tino A1 - Sahner, Jan A1 - Theisel, Holger A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - A unified feature extraction architecture T2 - Active Flow Control Y1 - 2007 U6 - https://doi.org/10.1007/978-3-540-71439-2_8 SP - 119 EP - 133 PB - Springer Berlin/Heidelberg ER -