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 -