@article{KastenReininghausHotzetal.2016, author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Daviller, Guillaume and Morzyński, Marek}, title = {Acceleration feature points of unsteady shear flows}, series = {Archives of Mechanics}, volume = {68}, journal = {Archives of Mechanics}, number = {1}, pages = {55 -- 80}, year = {2016}, abstract = {A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.}, language = {en} } @inproceedings{KuhnEngelkeFlatkenetal., author = {Kuhn, Alexander and Engelke, Wito and Flatken, Markus and Hege, Hans-Christian and Hotz, Ingrid}, title = {Topology-based Analysis for Multimodal Atmospheric Data of Volcano Eruptions}, series = {Topological Methods in Data Analysis and Visualization IV}, booktitle = {Topological Methods in Data Analysis and Visualization IV}, publisher = {Springer}, address = {Cham, Schweiz}, doi = {10.1007/978-3-319-44684-4_2}, pages = {35 -- 50}, language = {en} } @incollection{HlawitschkaHotzKratzetal.2014, author = {Hlawitschka, Mario and Hotz, Ingrid and Kratz, Andrea and Marai, G. Elisabeta and Moreno, Rodrigo and Scheuermann, Gerik and Stommel, Markus and Wiebel, Alexander and Zhang, Eugene}, title = {Top Challenges in the Visualization of Engineering Tensor Fields}, series = {Visualization and Processing of Tensors and Higher-Order Descriptors for Multi-Field Data}, booktitle = {Visualization and Processing of Tensors and Higher-Order Descriptors for Multi-Field Data}, editor = {Westin, Carl-Frederic and Burgeth, Bernhard and Vilanova, Anna}, publisher = {Springer}, pages = {3 -- 15}, year = {2014}, language = {en} } @misc{KastenReininghausHotzetal., author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Daviller, Guillaume and Morzyński, Marek}, title = {Acceleration feature points of unsteady shear flows}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-58397}, abstract = {A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.}, language = {en} } @misc{KastenHotzHege, author = {Kasten, Jens and Hotz, Ingrid and Hege, Hans-Christian}, title = {On the Elusive Concept of Lagrangian Coherent Structures}, series = {Topological Methods in Data Analysis and Visualization II}, journal = {Topological Methods in Data Analysis and Visualization II}, editor = {Peikert, Ronald and Hauser, Helwig and Carr, Hamish and Fuchs, Raphael}, publisher = {Springer}, doi = {10.1007/978-3-642-23175-9_14}, pages = {207 -- 220}, language = {en} } @article{ZobelReininghausHotz2011, author = {Zobel, Valentin and Reininghaus, Jan and Hotz, Ingrid}, title = {Generalized Heat Kernel Signature}, series = {Journal of WSCG, International Conference on Computer Graphics, Visualization and Computer Vision}, journal = {Journal of WSCG, International Conference on Computer Graphics, Visualization and Computer Vision}, pages = {93 -- 100target}, year = {2011}, language = {en} } @misc{KastenReininghausOberleithneretal.2010, author = {Kasten, Jens and Reininghaus, Jan and Oberleithner, Kilian and Hotz, Ingrid and Noack, Bernd and Hege, Hans-Christian}, title = {Flow over a Cavity - Evolution of the Vortex Skeleton}, publisher = {Visualization at 28th Annual Gallery of Fluid Motion exhibit, held at the 63th Annual Meeting of the American Physical Society, Division of Fluid Dynamics (Long Beach, CA, USA, November 21-23, 2010).}, year = {2010}, language = {en} } @article{KastenPetzHotzetal.2010, author = {Kasten, Jens and Petz, Christoph and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Tadmor, Gilead}, title = {Lagrangian Feature Extraction of the Cylinder Wake}, series = {Physics of Fluids}, volume = {22}, journal = {Physics of Fluids}, number = {9}, doi = {10.1063/1.3483220}, pages = {091108}, year = {2010}, language = {en} } @inproceedings{KratzKettlitzHotz2011, author = {Kratz, Andrea and Kettlitz, Nino and Hotz, Ingrid}, title = {Particle-Based Anisotropic Sampling for Two-Dimensional Tensor Field Visualization}, series = {Vision Modeling and Visualization (VMV'11)}, booktitle = {Vision Modeling and Visualization (VMV'11)}, publisher = {Eurographics Association target}, pages = {145 -- 152}, year = {2011}, language = {en} } @misc{KratzMeyerHotz2011, author = {Kratz, Andrea and Meyer, Bj{\"o}rn and Hotz, Ingrid}, title = {A Visual Approach to Analysis of Stress Tensor Fields}, series = {Scientific Visualization: Interactions, Features, Metaphors}, volume = {2}, journal = {Scientific Visualization: Interactions, Features, Metaphors}, editor = {Hagen, Hans}, publisher = {Schloss Dagstuhl-Leibniz-Zentrum fuer Informatik}, address = {Dagstuhl, Germany}, doi = {10.4230/DFU.Vol2.SciViz.2011.188}, pages = {188 -- 211}, year = {2011}, language = {en} } @incollection{HotzSreevalsanNairHamann2010, author = {Hotz, Ingrid and Sreevalsan-Nair, Jaya and Hamann, Bernd}, title = {Tensor Field Reconstruction Based on Eigenvector and Eigenvalue Interpolation}, series = {Scientific Visualization: Advanced Concepts}, volume = {1}, booktitle = {Scientific Visualization: Advanced Concepts}, editor = {Hagen, Hans}, publisher = {Schloss Dagstuhl Leibniz-Zentrum fuer Informatik}, isbn = {978-3-939897-19-4}, doi = {10.4230/DFU.SciViz.2010.110}, pages = {110 -- 123}, year = {2010}, language = {en} } @misc{KastenHotzNoacketal.2011, author = {Kasten, Jens and Hotz, Ingrid and Noack, Bernd and Hege, Hans-Christian}, title = {On the Extraction of Long-living Features in Unsteady Fluid Flows}, series = {Topological Methods in Data Analysis and Visualization}, journal = {Topological Methods in Data Analysis and Visualization}, editor = {Pascucci, Valerio and Tricoche, Xavier and Hagen, Hans and Tierny, Julien}, publisher = {Springer}, address = {Berlin}, isbn = {978-3-642-15013-5}, doi = {10.1007/978-3-642-15014-2_10}, pages = {115 -- 126}, year = {2011}, language = {en} } @article{ReininghausLoewenHotz2011, author = {Reininghaus, Jan and L{\"o}wen, Christian and Hotz, Ingrid}, title = {Fast Combinatorial Vector Field Topology}, series = {IEEE Trans. Computer Graphics and Visualization}, volume = {17}, journal = {IEEE Trans. Computer Graphics and Visualization}, number = {10}, pages = {1433 -- 1443}, year = {2011}, language = {en} } @inproceedings{HegeHotzMunzner2009, author = {Hege, Hans-Christian and Hotz, Ingrid and Munzner, Tamara}, title = {Euro Vis 2009 - Eurographics/IEEE-VGTC Symposium on Visualization}, series = {Comput. Graphics. Forum}, volume = {28}, booktitle = {Comput. Graphics. Forum}, year = {2009}, language = {en} } @incollection{AuerSreevalsanNairZobeletal.2009, author = {Auer, Cornelia and Sreevalsan-Nair, Jaya and Zobel, Valentin and Hotz, Ingrid}, title = {2D Tensor Field Segmentation}, series = {Scientific Visualization: Interactions, Features, Metaphors}, volume = {2}, booktitle = {Scientific Visualization: Interactions, Features, Metaphors}, editor = {Hagen, Hans}, publisher = {Schloss Dagstuhl-Leibniz-Zentrum f{\"u}r Informatik}, doi = {10.4230/DFU.Vol2.SciViz.2011.17}, pages = {17 -- 35}, year = {2009}, language = {en} } @inproceedings{KastenPetzHotzetal.2009, author = {Kasten, Jens and Petz, Christoph and Hotz, Ingrid and Noack, Bernd R. and Hege, Hans-Christian}, title = {Localized Finite-time Lyapunov Exponent for Unsteady Flow Analysis}, series = {Vision Modeling and Visualization}, volume = {1}, booktitle = {Vision Modeling and Visualization}, editor = {Magnor, Marcus and Rosenhahn, Bodo and Theisel, Holger}, publisher = {Universit{\"a}t Magdeburg, Inst. f. Simulation u. Graph.}, isbn = {978-3-9804874-8-1}, pages = {265 -- 274}, year = {2009}, language = {en} } @inproceedings{KastenZoufahlHegeetal., author = {Kasten, Jens and Zoufahl, Andre and Hege, Hans-Christian and Hotz, Ingrid}, title = {Analysis of Vortex Merge Graphs}, series = {VMV 2012: Vision, Modeling and Visualization}, booktitle = {VMV 2012: Vision, Modeling and Visualization}, publisher = {Eurographics Association}, doi = {10.2312/PE/VMV/VMV12/111-118}, pages = {111 -- 118}, language = {en} } @article{GuentherReininghausWagneretal.2012, author = {G{\"u}nther, David and Reininghaus, Jan and Wagner, Hubert and Hotz, Ingrid}, title = {Efficient Computation of 3D Morse-Smale Complexes and Persistent Homology using Discrete Morse Theory}, series = {The Visual Computer}, volume = {28}, journal = {The Visual Computer}, number = {10}, doi = {10.1007/s00371-012-0726-8}, pages = {959 -- 969}, year = {2012}, language = {en} } @inproceedings{KastenHotzNoacketal.2012, author = {Kasten, Jens and Hotz, Ingrid and Noack, Bernd and Hege, Hans-Christian}, title = {Vortex Merge Graphs in Two-dimensional Unsteady Flow Fields}, series = {EuroVis - Short Papers}, booktitle = {EuroVis - Short Papers}, publisher = {Eurographics Association}, address = {Vienna, Austria}, doi = {10.2312/PE/EuroVisShort/EuroVisShort2012/001-005}, pages = {1 -- 5}, year = {2012}, language = {en} } @misc{ReininghausHotz2012, author = {Reininghaus, Jan and Hotz, Ingrid}, title = {Computational Discrete Morse Theory for Divergence-Free 2D Vector Fields}, series = {Topological Methods in Data Analysis and Visualization. Theory, Algorithms, and Applications. (TopoInVis 2011)}, journal = {Topological Methods in Data Analysis and Visualization. Theory, Algorithms, and Applications. (TopoInVis 2011)}, editor = {Peikert, Ronald and Carr, Hamish and Hauser, Helwig}, publisher = {Springer}, pages = {3 -- 14}, year = {2012}, language = {en} }