@incollection{TheiselWeinkauf2007, author = {Theisel, Holger and Weinkauf, Tino}, title = {On the Applicability of Topological Methods for Complex Flow Data}, booktitle = {Topology-based Methods in Visualization}, publisher = {Springer}, doi = {10.1007/978-3-540-70823-0_8}, pages = {105 -- 120}, year = {2007}, language = {en} } @inproceedings{WeinkaufSahnerTheiseletal.2007, author = {Weinkauf, Tino and Sahner, Jan and Theisel, Holger and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {A unified feature extraction architecture}, booktitle = {Active Flow Control}, publisher = {Springer Berlin/Heidelberg}, doi = {10.1007/978-3-540-71439-2_8}, pages = {119 -- 133}, 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} } @inproceedings{ShiTheiselWeinkaufetal.2006, author = {Shi, Kuangyu and Theisel, Holger and Weinkauf, Tino and Hauser, Helwig and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Path line oriented topology for periodic 2D time-dependent vector fields}, booktitle = {Proc. Eurographics / IEEE VGTC Symposium on Visualization}, address = {Lisbon, Portugal}, pages = {139 -- 146}, year = {2006}, 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} } @inproceedings{WeinkaufTheiselShietal.2005, author = {Weinkauf, Tino and Theisel, Holger and Shi, Kuangyu and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Topological simplification of 3D vector fields and extracting higher order critical points}, booktitle = {Proc. IEEE Visualization 2005}, address = {Minneapolis, USA}, pages = {631 -- 638}, year = {2005}, language = {en} } @inproceedings{SahnerWeinkaufHege2005, author = {Sahner, Jan and Weinkauf, Tino and Hege, Hans-Christian}, title = {Galilean invariant extraction and iconic representation of vortex core lines}, booktitle = {Proc. Eurographics / IEEE VGTC Symposium on Visualization (EuroVis '05)}, editor = {Brodlie, K. and Duke, D. and Joy, K.}, address = {Leeds, UK}, doi = {10.2312/VisSym/EuroVis05/151-160}, pages = {151 -- 160}, year = {2005}, language = {en} } @inproceedings{TheiselSahnerWeinkaufetal.2005, author = {Theisel, Holger and Sahner, Jan and Weinkauf, Tino and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Extraction of parallel vector surfaces in 3D time-dependent fields and application to vortex core line tracking}, booktitle = {Proc. IEEE Visualization 2005}, address = {Minneapolis, USA}, pages = {559 -- 566}, year = {2005}, language = {en} } @misc{PetzWeinkaufStreckwalletal.2006, author = {Petz, Christoph and Weinkauf, Tino and Streckwall, Heinrich and Salvatore, Franceso and Noack, Bernd R. and Hege, Hans-Christian}, title = {Vortex Structures at a Rotating Ship Propeller}, publisher = {Presented at the 24th Annual Gallery of Fluid Motion exhibit, held at the 59th Annual Meeting of the American Physical Society, Division of Fluid Dynamics, Tampa Bay}, 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} }