TY - GEN A1 - Reininghaus, Jan A1 - Kasten, Jens A1 - Weinkauf, Tino A1 - Hotz, Ingrid T1 - Combinatorial Feature Flow Fields: Tracking Critical Points in Discrete Scalar Fields N2 - 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. T3 - ZIB-Report - 11-02 KW - data analysis KW - feature detection KW - time-varying data KW - topology-based techniques Y1 - 2011 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-12151 ER - TY - CHAP A1 - Hege, Hans-Christian A1 - Weinkauf, Tino A1 - Prohaska, Steffen A1 - Hutanu, Andrei T1 - Distributed visualization and analysis of fluid dynamics data T2 - Proc. Fourth International Symposium on Advanced Fluid Information and Transdisciplinary Fluid Integration Y1 - 2004 SP - 145 EP - 150 CY - Sendai, Japan ER - TY - CHAP A1 - Theisel, Holger A1 - Weinkauf, Tino A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Stream line and path line oriented topology for 2D time-dependent vector fields T2 - Proc. IEEE Visualization 2004 Y1 - 2004 U6 - https://doi.org/10.1109/VIS.2004.99 SP - 321 EP - 328 CY - Austin, U.S.A. ER - TY - CHAP A1 - Weinkauf, Tino A1 - Theisel, Holger A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Topological construction and visualization of higher order 3D vector fields T2 - Computer Graphics Forum Y1 - 2004 U6 - https://doi.org/10.1109/VISUAL.2005.1532842 VL - 23(3) SP - 469 EP - 478 CY - Grenoble, France ER - TY - CHAP A1 - Olbrich, Stephan A1 - Weinkauf, Tino A1 - Merzky, André A1 - Knipp, Harald A1 - Hege, Hans-Christian A1 - Pralle, Helmut ED - Knop, J. von T1 - Lösungsansätze zur Visualisierung im High Performance Computing und Networking Kontext T2 - Zukunft der Netze - Die Verletzbarkeit meistern. Y1 - 2002 SP - 269 EP - 279 CY - Düsseldorf, Germany ER - TY - CHAP A1 - Weinkauf, Tino A1 - Theisel, Holger ED - Skala, Václav T1 - Vector Field Metrics Based on Distance Measures of First Order Critical Points T2 - Journal of WSCG, Short Communication Papers Y1 - 2002 VL - 10 SP - 121 EP - 128 ER - TY - CHAP A1 - Weinkauf, Tino A1 - Theisel, Holger ED - Skala, Václav T1 - Curvature Measures of 3D Vector Fields and their Applications T2 - Journal of WSCG Y1 - 2002 UR - http://www.zib.de/weinkauf/ U6 - https://doi.org/10.1109/TPAMI.2006.36 VL - 10 SP - 507 EP - 514 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 - CHAP A1 - Theisel, Holger A1 - Weinkauf, Tino A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Saddle Connectors - An Approach to Visualizing the Topological Skeleton of Complex 3D Vector Fields T2 - Proc. IEEE Visualization 2003 Y1 - 2003 U6 - https://doi.org/10.1109/VISUAL.2003.1250376 SP - 225 EP - 232 CY - Seattle ER - TY - CHAP A1 - Weinkauf, Tino A1 - Hege, Hans-Christian A1 - Noack, Bernd A1 - Schlegel, Michael A1 - Dillmann, Andreas ED - Ajaev, V. ED - Willis, D. T1 - Coherent structures in a transitional flow around a backward-facing step T2 - Physics of Fluids Y1 - 2003 VL - 15 SP - S3 ER - TY - THES A1 - Weinkauf, Tino T1 - Extraction of Topological Structures in 2D and 3D Vector Fields Y1 - 2008 ER - TY - GEN A1 - Reininghaus, Jan A1 - Günther, David A1 - Hotz, Ingrid A1 - Weinkauf, Tino A1 - Seidel, Hans Peter T1 - Combinatorial Gradient Fields for 2D Images with Empirically Convergent Separatrices Y1 - 2012 UR - http://arxiv.org/abs/1208.6523 ER - TY - JOUR A1 - Reininghaus, Jan A1 - Kasten, Jens A1 - Weinkauf, Tino A1 - Hotz, Ingrid T1 - Efficient Computation of Combinatorial Feature Flow Fields JF - Transactions on Visualization and Computer Graphics Y1 - 2012 U6 - https://doi.org/10.1109/TVCG.2011.269 VL - 18 IS - 9 SP - 1563 EP - 1573 ER - TY - CHAP A1 - Günther, David A1 - McGuire, Patrick C. A1 - Walter, Sebastian A1 - Weinkauf, Tino A1 - Hege, Hans-Christian T1 - Extraction of Valley Networks in Mars Elevation Maps T2 - Proc. European Planetary Science Congress Y1 - 2010 VL - 5 SP - EPSC2010 EP - 216 ER - TY - GEN A1 - Günther, David A1 - Reininghaus, Jan A1 - Prohaska, Steffen A1 - Weinkauf, Tino A1 - Hege, Hans-Christian ED - Peikert, Ronny ED - Hauser, Helwig ED - Carr, Hamish T1 - Efficient Computation of a Hierarchy of Discrete 3D Gradient Vector Fields T2 - Topological Methods in Data Analysis and Visualization II Y1 - 2012 U6 - https://doi.org/10.1007/978-3-642-23175-9_2 SP - 15 EP - 29 PB - Springer ER - TY - CHAP A1 - Theisel, Holger A1 - Weinkauf, Tino T1 - Morphological Representations of Vector Fields T2 - Shape Analysis and Structuring Y1 - 2008 U6 - https://doi.org/10.1007/978-3-540-33265-7 PB - Springer ER - TY - JOUR A1 - Laramee, Robert S. A1 - Erlebacher, Gordon A1 - Garth, Christoph A1 - Schafhitzel, Tobias A1 - Theisel, Holger A1 - Tricoche, Xavier A1 - Weinkauf, Tino A1 - Weiskopf, Daniel T1 - Applications of Texture-Based Flow Visualization JF - Engineering Applications of Computational Fluid Mechanics Y1 - 2008 UR - http://www.cs.swan.ac.uk/~csbob/research/application/ VL - 2 IS - 3 SP - 264 EP - 274 ER - TY - CHAP A1 - Kasten, Jens A1 - Weinkauf, Tino A1 - Petz, Christoph A1 - Hotz, Ingrid A1 - Noack, Bernd R. A1 - Hege, Hans-Christian T1 - Extraction of Coherent Structures from Natural and Actuated Flows T2 - Active Flow Control II Y1 - 2010 SN - 978-3-642-11734-3 U6 - https://doi.org/10.1007/978-3-642-11735-0_24 VL - 108 SP - 373 EP - 387 PB - Springer, Berlin ER - TY - JOUR A1 - Weinkauf, Tino A1 - Günther, David T1 - Separatrix Persistence: Extraction of Salient Edges on Surfaces Using Topological Methods JF - Computer Graphics Forum (Proc. SGP’09) Y1 - 2009 U6 - https://doi.org/10.1111/j.1467-8659.2009.01528.x VL - 28 IS - 5 SP - 1519 EP - 1528 ER - TY - JOUR A1 - Shi, Kuangyu A1 - Weinkauf, Tino A1 - Theisel, Holger A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Visualizing Transport Structures of Time-Dependent Flow Fields JF - IEEE Computer Graphics and Applications Y1 - 2008 U6 - https://doi.org/10.1109/MCG.2008.106 SP - 24 EP - 35 ER - TY - CHAP A1 - von Funck, Wolfram A1 - Weinkauf, Tino A1 - Theisel, Holger A1 - Hege, Hans-Christian T1 - Smoke Surfaces: An Interactive Flow Visualization Technique Inspired by Real-World Flow Experiments T2 - IEEE Transactions on Visualization and Computer Graphics (Proceedings Visualization 2008) Y1 - 2008 U6 - https://doi.org/10.1109/TVCG.2008.163 VL - 14 IS - 6 SP - 1396 EP - 1403 ER - TY - CHAP A1 - Shi, Kuangyu A1 - Theisel, Holger A1 - Weinkauf, Tino A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Finite-Time Transport Structures of Flow Fields T2 - Proc. IEEE Pacific Visualization 2008 Y1 - 2008 U6 - https://doi.org/10.1109/PACIFICVIS.2008.4475460 SP - 63 EP - 70 CY - Kyoto, Japan ER - TY - CHAP A1 - Weinkauf, Tino A1 - Sahner, Jan A1 - Günther, Bert A1 - Theisel, Holger A1 - Hege, Hans-Christian A1 - Thiele, Frank T1 - Feature-based Analysis of a Multi-Parameter Flow Simulation T2 - Proc. of 19th Simulation and Visualization Conference (SimVis 2008) Y1 - 2008 SP - 237 EP - 251 CY - Magdeburg, Germany 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 - CHAP A1 - Shi, Kuangyu A1 - Theisel, Holger A1 - Hauser, Helwig A1 - Weinkauf, Tino A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Path Line Attributes - an Information Visualization Approach to Analyzing the Dynamic Behavior of 3D Time-Dependent Flow Fields T2 - Topology-Based Methods in Visualization II Y1 - 2009 U6 - https://doi.org/10.1007/978-3-540-88606-8_6 SP - 75 EP - 88 PB - Springer CY - Berlin ER - TY - GEN A1 - Sahner, Jan A1 - Weinkauf, Tino A1 - Teuber, Nathalie A1 - Hege, Hans-Christian T1 - Vortex and strain skeletons in Eulerian and Lagrangian frames Y1 - 2007 U6 - https://doi.org/10.1109/TVCG.2007.1053 SP - 980 EP - 990 ER - TY - CHAP A1 - Weinkauf, Tino A1 - Theisel, Holger A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Feature Flow Fields in Out-of-Core Settings T2 - Topology-based Methods in Visualization Y1 - 2007 SP - 51 EP - 64 PB - Springer 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 - Günther, Bert A1 - Thiele, Frank A1 - Petz, Ralf A1 - Nitsche, Wolfgang A1 - Sahner, Jan A1 - Weinkauf, Tino A1 - Hege, Hans-Christian T1 - Control of Separation on the Flap of a Three-Element High-Lift Configuration T2 - 45th AIAA Aerospace Sciences Meeting and Exhibit Y1 - 2007 CY - Reno, NV, U.S.A. ER - TY - CHAP A1 - Theisel, Holger A1 - Weinkauf, Tino A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Grid-independent detection of closed stream lines in 2D vector fields T2 - Proc. Vision, Modeling and Visualization 2004 Y1 - 2004 SP - 421 EP - 428 CY - Stanford, U.S.A. ER - TY - CHAP A1 - Theisel, Holger A1 - Weinkauf, Tino T1 - On the Applicability of Topological Methods for Complex Flow Data T2 - Topology-based Methods in Visualization Y1 - 2007 U6 - https://doi.org/10.1007/978-3-540-70823-0_8 SP - 105 EP - 120 PB - Springer 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 - TY - JOUR A1 - Hege, Hans-Christian A1 - Weinkauf, Tino A1 - Prohaska, Steffen A1 - Hutanu, Andrei T1 - Towards distributed visualization and analysis of large flow data JF - JSME International Journal, Series B Y1 - 2005 VL - 48 (2) SP - 241 EP - 246 ER - TY - JOUR A1 - Theisel, Holger A1 - Weinkauf, Tino A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Topological methods for 2D time-dependent vector fields based on stream lines and path lines JF - IEEE Transactions on Visualization and Computer Graphics Y1 - 2005 U6 - https://doi.org/10.1109/TVCG.2005.68 VL - 11 IS - 4 ER - TY - CHAP A1 - Shi, Kuangyu A1 - Theisel, Holger A1 - Weinkauf, Tino A1 - Hauser, Helwig A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Path line oriented topology for periodic 2D time-dependent vector fields T2 - Proc. Eurographics / IEEE VGTC Symposium on Visualization Y1 - 2006 SP - 139 EP - 146 CY - Lisbon, Portugal ER - TY - JOUR A1 - Weinkauf, Tino A1 - Theisel, Holger A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Topological structures in two-parameter-dependent 2D vector fields JF - Computer Graphics Forum Y1 - 2006 U6 - https://doi.org/10.1111/j.1467-8659.2006.00980.x VL - 25 (3) SP - 607 EP - 616 ER - TY - CHAP A1 - Weinkauf, Tino A1 - Theisel, Holger A1 - Shi, Kuangyu A1 - Hege, Hans-Christian A1 - Seidel, Hans-Peter T1 - Topological simplification of 3D vector fields and extracting higher order critical points T2 - Proc. IEEE Visualization 2005 Y1 - 2005 SP - 631 EP - 638 CY - Minneapolis, USA ER - TY - CHAP A1 - Sahner, Jan A1 - Weinkauf, Tino A1 - Hege, Hans-Christian ED - Brodlie, K. ED - Duke, D. ED - Joy, K. T1 - Galilean invariant extraction and iconic representation of vortex core lines T2 - Proc. Eurographics / IEEE VGTC Symposium on Visualization (EuroVis ’05) Y1 - 2005 U6 - https://doi.org/10.2312/VisSym/EuroVis05/151-160 SP - 151 EP - 160 CY - Leeds, UK ER - 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 - Petz, Christoph A1 - Weinkauf, Tino A1 - Streckwall, Heinrich A1 - Salvatore, Franceso A1 - Noack, Bernd R. A1 - Hege, Hans-Christian T1 - Vortex Structures at a Rotating Ship Propeller Y1 - 2006 PB - 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 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 -