TY - JOUR A1 - Günther, Tobias A1 - Kuhn, Alexander A1 - Hege, Hans-Christian A1 - Gross, Markus A1 - Theisel, Holger T1 - Progressive Monte Carlo rendering of atmospheric flow features across scales JF - Physical Review Fluids N2 - To improve existing weather prediction and reanalysis capabilities, high-resolution and multi-modal climate data becomes an increasingly important topic. The advent of increasingly dense numerical simulation of atmospheric phenomena, provides new means to better understand dynamic processes and to visualize structural flow patterns that remain hidden otherwise. In the presented illustrations we demonstrate an advanced technique to visualize multiple scales of dense flow fields and Lagrangian patterns therein, simulated by state-of-the-art simulation models for each scale. They provide a deeper insight into the structural differences and patterns that occur on each scale and highlight the complexity of flow phenomena in our atmosphere. This paper is associated with a poster winner of a 2016 APS/DFD Milton van Dyke Award for work presented at the DFD Gallery of Fluid Motion. The original poster is available from the Gallery of Fluid Motion, https://doi.org/10.1103/APS.DFD.2016.GFM.P0030 Y1 - 2017 U6 - https://doi.org/10.1103/PhysRevFluids.2.090502 VL - 2 SP - 09050-1 EP - 09050-3 ER - TY - JOUR A1 - Günther, Tobias A1 - Kuhn, Alexander A1 - Hege, Hans-Christian A1 - Theisel, Holger T1 - MCFTLE: Monte Carlo Rendering of Finite-Time Lyapunov Exponent Fields JF - Computer Graphics Forum Y1 - 2016 U6 - https://doi.org/10.1111/cgf.12914 N1 - By mistake the fourth author Hans-Christian Hege has been ommitted in the journal publication VL - 35 IS - 3 SP - 381 EP - 390 ER - TY - GEN A1 - Günther, Tobias A1 - Kuhn, Alexander A1 - Hege, Hans-Christian A1 - Gross, Markus A1 - Theisel, Holger T1 - Progressive Monte-Carlo Rendering of Atmospheric Flow Features Across Scales T2 - 69th Annual Meeting of the APS Division of Fluid Dynamics, Gallery of Fluid Motion, Nov 20-22, 2016, Portland, OR, USA. N2 - To improve existing weather prediction and reanalysis capabilities, high-resolution and multi-modal climate data becomes an increasingly important topic. The advent of increasingly dense numerical simulation of atmospheric phenomena, provides new means to better understand dynamic processes and to visualize structural flow patterns that remain hidden otherwise. In the presented illustrations we demonstrate an advanced technique to visualize multiple scales of dense flow fields and Lagrangian patterns therein, simulated by state-of-the-art simulation models for each scale. They provide a deeper insight into the structural differences and patterns that occur on each scale and highlight the complexity of flow phenomena in our atmosphere. Y1 - 2016 U6 - https://doi.org/10.1103/APS.DFD.2016.GFM.P0030 ER - TY - CHAP A1 - Kuhn, Alexander A1 - Lindow, Norbert A1 - Günther, Tobias A1 - Wiebel, Alexander A1 - Theisel, Holger A1 - Hege, Hans-Christian T1 - Trajectory Density Projection for Vector Field Visualization T2 - EuroVis 2013, short papers. M. Hlawitschka, Tino Weinkauf (eds.) Y1 - 2013 UR - http://vc.cs.ovgu.de/files/publications/2013/Kuhn_2013_EUROVIS.pdf U6 - https://doi.org/10.2312/PE.EuroVisShort.EuroVisShort2013.031-035 SP - 31 EP - 35 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 - TY - JOUR A1 - Otto, Mathias A1 - Germer, Tobias A1 - Hege, Hans-Christian A1 - Theisel, Holger T1 - Uncertain 2D Vector Field Topology JF - Comput. Graph. Forum Y1 - 2010 U6 - https://doi.org/10.1111/j.1467-8659.2009.01604.x VL - 29 SP - 347 EP - 356 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 - 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 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 - 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 -