@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}, series = {Computer Graphics Forum}, 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} } @phdthesis{Weinkauf2008, author = {Weinkauf, Tino}, title = {Extraction of Topological Structures in 2D and 3D Vector Fields}, year = {2008}, language = {en} } @inproceedings{WeinkaufTheisel2002, author = {Weinkauf, Tino and Theisel, Holger}, title = {Curvature Measures of 3D Vector Fields and their Applications}, series = {Journal of WSCG}, volume = {10}, booktitle = {Journal of WSCG}, editor = {Skala, V{\´a}clav}, doi = {10.1109/TPAMI.2006.36}, pages = {507 -- 514}, year = {2002}, language = {en} } @inproceedings{WeinkaufTheisel2002, author = {Weinkauf, Tino and Theisel, Holger}, title = {Vector Field Metrics Based on Distance Measures of First Order Critical Points}, series = {Journal of WSCG, Short Communication Papers}, volume = {10}, booktitle = {Journal of WSCG, Short Communication Papers}, editor = {Skala, V{\´a}clav}, pages = {121 -- 128}, year = {2002}, language = {en} } @inproceedings{OlbrichWeinkaufMerzkyetal.2002, author = {Olbrich, Stephan and Weinkauf, Tino and Merzky, Andr{\´e} and Knipp, Harald and Hege, Hans-Christian and Pralle, Helmut}, title = {L{\"o}sungsans{\"a}tze zur Visualisierung im High Performance Computing und Networking Kontext}, series = {Zukunft der Netze - Die Verletzbarkeit meistern.}, booktitle = {Zukunft der Netze - Die Verletzbarkeit meistern.}, editor = {Knop, J. von}, address = {D{\"u}sseldorf, Germany}, pages = {269 -- 279}, year = {2002}, language = {en} } @inproceedings{WeinkaufHegeNoacketal.2003, author = {Weinkauf, Tino and Hege, Hans-Christian and Noack, Bernd and Schlegel, Michael and Dillmann, Andreas}, title = {Coherent structures in a transitional flow around a backward-facing step}, series = {Physics of Fluids}, volume = {15}, booktitle = {Physics of Fluids}, editor = {Ajaev, V. and Willis, D.}, pages = {S3}, year = {2003}, language = {en} } @inproceedings{TheiselWeinkaufHegeetal.2003, author = {Theisel, Holger and Weinkauf, Tino and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields}, series = {Proc. IEEE Visualization 2003}, booktitle = {Proc. IEEE Visualization 2003}, address = {Seattle}, doi = {10.1109/VISUAL.2003.1250376}, pages = {225 -- 232}, year = {2003}, language = {en} } @inproceedings{WeinkaufTheiselHegeetal.2004, author = {Weinkauf, Tino and Theisel, Holger and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Boundary switch connectors for topological visualization of complex 3D vector fields}, series = {Proc. Joint Eurographics - IEEE TCVG Symposium on Visualization (VisSym '04)}, booktitle = {Proc. Joint Eurographics - IEEE TCVG Symposium on Visualization (VisSym '04)}, address = {Konstanz, Germany}, pages = {183 -- 192}, year = {2004}, language = {en} } @inproceedings{WeinkaufTheiselHegeetal.2004, author = {Weinkauf, Tino and Theisel, Holger and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Topological construction and visualization of higher order 3D vector fields}, series = {Computer Graphics Forum}, volume = {23(3)}, booktitle = {Computer Graphics Forum}, address = {Grenoble, France}, doi = {10.1109/VISUAL.2005.1532842}, pages = {469 -- 478}, year = {2004}, language = {en} } @inproceedings{TheiselWeinkaufHegeetal.2004, author = {Theisel, Holger and Weinkauf, Tino and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Stream line and path line oriented topology for 2D time-dependent vector fields}, series = {Proc. IEEE Visualization 2004}, booktitle = {Proc. IEEE Visualization 2004}, address = {Austin, U.S.A.}, doi = {10.1109/VIS.2004.99}, pages = {321 -- 328}, year = {2004}, language = {en} }