@misc{ReininghausKastenWeinkaufetal.2011, author = {Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid}, title = {Combinatorial Feature Flow Fields: Tracking Critical Points in Discrete Scalar Fields}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-12151}, number = {11-02}, year = {2011}, abstract = {We propose a combinatorial algorithm to track critical points of 2D time-dependent scalar fields. Existing tracking algorithms such as Feature Flow Fields apply numerical schemes utilizing derivatives of the data, which makes them prone to noise and involve a large number of computational parameters. In contrast, our method is robust against noise since it does not require derivatives, interpolation, and numerical integration. Furthermore, we propose an importance measure that combines the spatial persistence of a critical point with its temporal evolution. This leads to a time-aware feature hierarchy, which allows us to discriminate important from spurious features. Our method requires only a single, easy-to-tune computational parameter and is naturally formulated in an out-of-core fashion, which enables the analysis of large data sets. We apply our method to a number of data sets and compare it to the stabilized continuous Feature Flow Field tracking algorithm.}, language = {en} } @inproceedings{HegeWeinkaufProhaskaetal.2004, author = {Hege, Hans-Christian and Weinkauf, Tino and Prohaska, Steffen and Hutanu, Andrei}, title = {Distributed visualization and analysis of fluid dynamics data}, booktitle = {Proc. Fourth International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration}, address = {Sendai, Japan}, pages = {145 -- 150}, 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}, booktitle = {Proc. IEEE Visualization 2004}, address = {Austin, U.S.A.}, doi = {10.1109/VIS.2004.99}, pages = {321 -- 328}, 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}, volume = {23(3)}, booktitle = {Computer Graphics Forum}, address = {Grenoble, France}, doi = {10.1109/VISUAL.2005.1532842}, pages = {469 -- 478}, year = {2004}, 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}, booktitle = {Zukunft der Netze - Die Verletzbarkeit meistern.}, editor = {Knop, J. von}, address = {D{\"u}sseldorf, Germany}, pages = {269 -- 279}, 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}, volume = {10}, booktitle = {Journal of WSCG, Short Communication Papers}, editor = {Skala, V{\´a}clav}, pages = {121 -- 128}, year = {2002}, language = {en} } @inproceedings{WeinkaufTheisel2002, author = {Weinkauf, Tino and Theisel, Holger}, title = {Curvature Measures of 3D Vector Fields and their Applications}, 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{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}, booktitle = {Proc. Joint Eurographics - IEEE TCVG Symposium on Visualization (VisSym '04)}, address = {Konstanz, Germany}, pages = {183 -- 192}, year = {2004}, 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}, booktitle = {Proc. IEEE Visualization 2003}, address = {Seattle}, doi = {10.1109/VISUAL.2003.1250376}, pages = {225 -- 232}, year = {2003}, 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}, volume = {15}, booktitle = {Physics of Fluids}, editor = {Ajaev, V. and Willis, D.}, pages = {S3}, year = {2003}, language = {en} } @phdthesis{Weinkauf2008, author = {Weinkauf, Tino}, title = {Extraction of Topological Structures in 2D and 3D Vector Fields}, year = {2008}, language = {en} } @misc{ReininghausGuentherHotzetal.2012, author = {Reininghaus, Jan and G{\"u}nther, David and Hotz, Ingrid and Weinkauf, Tino and Seidel, Hans Peter}, title = {Combinatorial Gradient Fields for 2D Images with Empirically Convergent Separatrices}, arxiv = {http://arxiv.org/abs/1208.6523v1}, year = {2012}, language = {en} } @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} } @inproceedings{GuentherMcGuireWalteretal.2010, author = {G{\"u}nther, David and McGuire, Patrick C. and Walter, Sebastian and Weinkauf, Tino and Hege, Hans-Christian}, title = {Extraction of Valley Networks in Mars Elevation Maps}, volume = {5}, booktitle = {Proc. European Planetary Science Congress}, pages = {EPSC2010 -- 216}, year = {2010}, language = {en} } @misc{GuentherReininghausProhaskaetal.2012, author = {G{\"u}nther, David and Reininghaus, Jan and Prohaska, Steffen and Weinkauf, Tino and Hege, Hans-Christian}, title = {Efficient Computation of a Hierarchy of Discrete 3D Gradient Vector Fields}, journal = {Topological Methods in Data Analysis and Visualization II}, editor = {Peikert, Ronny and Hauser, Helwig and Carr, Hamish}, publisher = {Springer}, doi = {10.1007/978-3-642-23175-9_2}, pages = {15 -- 29}, year = {2012}, language = {en} } @incollection{TheiselWeinkauf2008, author = {Theisel, Holger and Weinkauf, Tino}, title = {Morphological Representations of Vector Fields}, booktitle = {Shape Analysis and Structuring}, publisher = {Springer}, doi = {10.1007/978-3-540-33265-7}, year = {2008}, 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} } @incollection{KastenWeinkaufPetzetal.2010, author = {Kasten, Jens and Weinkauf, Tino and Petz, Christoph and Hotz, Ingrid and Noack, Bernd R. and Hege, Hans-Christian}, title = {Extraction of Coherent Structures from Natural and Actuated Flows}, volume = {108}, booktitle = {Active Flow Control II}, publisher = {Springer, Berlin}, isbn = {978-3-642-11734-3}, doi = {10.1007/978-3-642-11735-0_24}, pages = {373 -- 387}, year = {2010}, 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} } @inproceedings{vonFunckWeinkaufTheiseletal.2008, author = {von Funck, Wolfram and Weinkauf, Tino and Theisel, Holger and Hege, Hans-Christian}, title = {Smoke Surfaces: An Interactive Flow Visualization Technique Inspired by Real-World Flow Experiments}, volume = {14}, booktitle = {IEEE Transactions on Visualization and Computer Graphics (Proceedings Visualization 2008)}, number = {6}, doi = {10.1109/TVCG.2008.163}, pages = {1396 -- 1403}, year = {2008}, language = {en} } @inproceedings{ShiTheiselWeinkaufetal.2008, author = {Shi, Kuangyu and Theisel, Holger and Weinkauf, Tino and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Finite-Time Transport Structures of Flow Fields}, booktitle = {Proc. IEEE Pacific Visualization 2008}, address = {Kyoto, Japan}, doi = {10.1109/PACIFICVIS.2008.4475460}, pages = {63 -- 70}, year = {2008}, language = {en} } @inproceedings{WeinkaufSahnerGuentheretal.2008, author = {Weinkauf, Tino and Sahner, Jan and G{\"u}nther, Bert and Theisel, Holger and Hege, Hans-Christian and Thiele, Frank}, title = {Feature-based Analysis of a Multi-Parameter Flow Simulation}, booktitle = {Proc. of 19th Simulation and Visualization Conference (SimVis 2008)}, address = {Magdeburg, Germany}, pages = {237 -- 251}, year = {2008}, language = {en} } @misc{ShiTheiselWeinkaufetal.2007, author = {Shi, Kuangyu and Theisel, Holger and Weinkauf, Tino and Hauser, Helwig and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Extracting separation surfaces of path line oriented topology in periodic 2D time-dependent vector fields}, pages = {75 -- 82}, year = {2007}, language = {en} } @inproceedings{ShiTheiselHauseretal.2009, author = {Shi, Kuangyu and Theisel, Holger and Hauser, Helwig and Weinkauf, Tino and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields}, booktitle = {Topology-Based Methods in Visualization II}, publisher = {Springer}, address = {Berlin}, doi = {10.1007/978-3-540-88606-8_6}, pages = {75 -- 88}, year = {2009}, language = {en} } @misc{SahnerWeinkaufTeuberetal.2007, author = {Sahner, Jan and Weinkauf, Tino and Teuber, Nathalie and Hege, Hans-Christian}, title = {Vortex and strain skeletons in Eulerian and Lagrangian frames}, doi = {10.1109/TVCG.2007.1053}, pages = {980 -- 990}, year = {2007}, language = {en} } @incollection{WeinkaufTheiselHegeetal.2007, author = {Weinkauf, Tino and Theisel, Holger and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Feature Flow Fields in Out-of-Core Settings}, booktitle = {Topology-based Methods in Visualization}, publisher = {Springer}, pages = {51 -- 64}, year = {2007}, 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} } @inproceedings{GuentherThielePetzetal.2007, author = {G{\"u}nther, Bert and Thiele, Frank and Petz, Ralf and Nitsche, Wolfgang and Sahner, Jan and Weinkauf, Tino and Hege, Hans-Christian}, title = {Control of Separation on the Flap of a Three-Element High-Lift Configuration}, booktitle = {45th AIAA Aerospace Sciences Meeting and Exhibit}, address = {Reno, NV, U.S.A.}, year = {2007}, language = {en} } @inproceedings{TheiselWeinkaufHegeetal.2004, author = {Theisel, Holger and Weinkauf, Tino and Hege, Hans-Christian and Seidel, Hans-Peter}, title = {Grid-independent detection of closed stream lines in 2D vector fields}, booktitle = {Proc. Vision, Modeling and Visualization 2004}, address = {Stanford, U.S.A.}, pages = {421 -- 428}, year = {2004}, language = {en} } @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} }