@article{KuhnEngelkeRoessletal.2014, author = {Kuhn, Alexander and Engelke, Wito and R{\"o}ssl, Christian and Hadwiger, Markus and Theisel, Holger}, title = {Time Line Cell Tracking for the Approximation of Lagrangian Coherent Structures with Subgrid Accuracy}, volume = {33}, journal = {Computer Graphics Forum}, publisher = {Wiley Blackwell}, issn = {0934-5892}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-43990}, pages = {222 -- 234}, year = {2014}, language = {en} } @article{OeltzeLehmannKuhnetal.2014, author = {Oeltze, Steffen and Lehmann, Dirk J. and Kuhn, Alexander and Janiga, G{\´a}bor and Theisel, Holger and Preim, Bernhard}, title = {Blood Flow Clustering and Applications in Virtual Stenting of Intracranial Aneurysms}, volume = {20}, journal = {IEEE Transactions on Visualization and Computer Graphics, 2014}, number = {5}, organization = {Otto-von-Guericke-Universit{\"a}t Magdeburg}, issn = {0934-5892}, doi = {10.1109/TVCG.2013.2297914}, pages = {686 -- 701}, year = {2014}, language = {en} } @misc{GuentherKuhnHegeetal.2016, author = {G{\"u}nther, Tobias and Kuhn, Alexander and Hege, Hans-Christian and Theisel, Holger}, title = {MCFTLE: Monte Carlo Rendering of Finite-Time Lyapunov Exponent Fields}, issn = {1438-0064}, doi = {10.1111/cgf.12914}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-59054}, year = {2016}, abstract = {Traditionally, Lagrangian fields such as finite-time Lyapunov exponents (FTLE) are precomputed on a discrete grid and are ray casted afterwards. This, however, introduces both grid discretization errors and sampling errors during ray marching. In this work, we apply a progressive, view-dependent Monte Carlo-based approach for the visualization of such Lagrangian fields in time-dependent flows. Our ap- proach avoids grid discretization and ray marching errors completely, is consistent, and has a low memory consumption. The system provides noisy previews that con- verge over time to an accurate high-quality visualization. Compared to traditional approaches, the proposed system avoids explicitly predefined fieldline seeding structures, and uses a Monte Carlo sampling strategy named Woodcock tracking to distribute samples along the view ray. An acceleration of this sampling strategy requires local upper bounds for the FTLE values, which we progressively acquire during the rendering. Our approach is tailored for high-quality visualizations of complex FTLE fields and is guaranteed to faithfully represent detailed ridge surface structures as indicators for Lagrangian coherent structures (LCS). We demonstrate the effectiveness of our approach by using a set of analytic test cases and real-world numerical simulations.}, language = {en} } @article{GuentherKuhnHegeetal.2017, author = {G{\"u}nther, Tobias and Kuhn, Alexander and Hege, Hans-Christian and Gross, Markus and Theisel, Holger}, title = {Progressive Monte Carlo rendering of atmospheric flow features across scales}, volume = {2}, journal = {Physical Review Fluids}, doi = {10.1103/PhysRevFluids.2.090502}, pages = {09050-1 -- 09050-3}, year = {2017}, abstract = {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}, language = {en} } @inproceedings{KuhnLindowGuentheretal.2013, author = {Kuhn, Alexander and Lindow, Norbert and G{\"u}nther, Tobias and Wiebel, Alexander and Theisel, Holger and Hege, Hans-Christian}, title = {Trajectory Density Projection for Vector Field Visualization}, booktitle = {EuroVis 2013, short papers. M. Hlawitschka, Tino Weinkauf (eds.)}, doi = {10.2312/PE.EuroVisShort.EuroVisShort2013.031-035}, pages = {31 -- 35}, year = {2013}, language = {en} } @article{GuentherKuhnKutzetal.2013, author = {G{\"u}nther, Tobias and Kuhn, Alexander and Kutz, Benjamin and Theisel, Holger}, title = {Mass-Dependent Integral Curves in Unsteady Vector Fields}, volume = {32}, journal = {Computer Graphics Forum}, doi = {10.1111/cgf.12108}, pages = {211 -- 220}, year = {2013}, 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} } @article{OttoGermerHegeetal.2010, author = {Otto, Mathias and Germer, Tobias and Hege, Hans-Christian and Theisel, Holger}, title = {Uncertain 2D Vector Field Topology}, volume = {29}, journal = {Comput. Graph. Forum}, doi = {10.1111/j.1467-8659.2009.01604.x}, pages = {347 -- 356}, year = {2010}, 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} }