@article{ReininghausKastenWeinkaufetal.2012, author = {Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid}, title = {Efficient Computation of Combinatorial Feature Flow Fields}, volume = {18}, journal = {Transactions on Visualization and Computer Graphics}, number = {9}, doi = {10.1109/TVCG.2011.269}, pages = {1563 -- 1573}, year = {2012}, language = {en} } @article{LarameeErlebacherGarthetal.2008, author = {Laramee, Robert S. and Erlebacher, Gordon and Garth, Christoph and Schafhitzel, Tobias and Theisel, Holger and Tricoche, Xavier and Weinkauf, Tino and Weiskopf, Daniel}, title = {Applications of Texture-Based Flow Visualization}, volume = {2}, journal = {Engineering Applications of Computational Fluid Mechanics}, number = {3}, pages = {264 -- 274}, year = {2008}, language = {en} } @article{WeinkaufGuenther2009, author = {Weinkauf, Tino and G{\"u}nther, David}, title = {Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods}, volume = {28}, journal = {Computer Graphics Forum (Proc. SGP'09)}, number = {5}, doi = {10.1111/j.1467-8659.2009.01528.x}, pages = {1519 -- 1528}, year = {2009}, language = {en} } @article{ShiWeinkaufTheiseletal.2008, author = {Shi, Kuangyu and Weinkauf, Tino and Theisel, Holger and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Visualizing Transport Structures of Time-Dependent Flow Fields}, journal = {IEEE Computer Graphics and Applications}, doi = {10.1109/MCG.2008.106}, pages = {24 -- 35}, year = {2008}, language = {en} } @article{WeinkaufSahnerTheiseletal.2007, author = {Weinkauf, Tino and Sahner, Jan and Theisel, Holger and Hege, Hans-Christian}, title = {Cores of Swirling Particle Motion in Unsteady Flows}, volume = {13}, journal = {IEEE Transactions on Visualization and Computer Graphics (Proceedings Visualization 2007)}, number = {6}, doi = {10.1109/TVCG.2007.70545}, pages = {1759 -- 1766}, year = {2007}, language = {en} } @article{HegeWeinkaufProhaskaetal.2005, author = {Hege, Hans-Christian and Weinkauf, Tino and Prohaska, Steffen and Hutanu, Andrei}, title = {Towards distributed visualization and analysis of large flow data}, volume = {48 (2)}, journal = {JSME International Journal, Series B}, pages = {241 -- 246}, year = {2005}, language = {en} } @article{TheiselWeinkaufHegeetal.2005, author = {Theisel, Holger and Weinkauf, Tino and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Topological methods for 2D time-dependent vector fields based on stream lines and path lines}, volume = {11}, journal = {IEEE Transactions on Visualization and Computer Graphics}, number = {4}, doi = {10.1109/TVCG.2005.68}, year = {2005}, language = {en} } @article{WeinkaufTheiselHegeetal.2006, author = {Weinkauf, Tino and Theisel, Holger and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Topological structures in two-parameter-dependent 2D vector fields}, volume = {25 (3)}, journal = {Computer Graphics Forum}, doi = {10.1111/j.1467-8659.2006.00980.x}, pages = {607 -- 616}, year = {2006}, language = {en} } @article{WeinkaufHegeTheisel2012, author = {Weinkauf, Tino and Hege, Hans-Christian and Theisel, Holger}, title = {Advected Tangent Curves: A General Scheme for Characteristic Curves of Flow Fields}, volume = {31}, journal = {Computer Graphics Forum}, number = {2pt4}, doi = {10.1111/j.1467-8659.2012.03063.x}, pages = {825 -- 834}, year = {2012}, abstract = {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.}, language = {en} }