@phdthesis{Kasten2012, author = {Kasten, Jens}, title = {Lagrangian feature extraction in two-dimensional unsteady flows}, year = {2012}, language = {en} } @phdthesis{Reininghaus2012, author = {Reininghaus, Jan}, title = {Computational discrete Morse theory}, year = {2012}, language = {en} } @masterthesis{vandenBruck2009, type = {Bachelor Thesis}, author = {van den Bruck, Nils}, title = {Techniken zur Artefaktreduktion f{\"u}r GPU-basiertes Ray Casting}, year = {2009}, language = {en} } @misc{Kettlitz2011, type = {Master Thesis}, author = {Kettlitz, Nino}, title = {Anisotropes Sampling in der Tensorfeldvisualisierung}, year = {2011}, language = {de} } @masterthesis{Retzlaff2011, type = {Bachelor Thesis}, author = {Retzlaff, Michelle}, title = {Brushing and Linking Methods by the Example of Tensor Visualization}, year = {2011}, language = {en} } @misc{Zobel2010, type = {Master Thesis}, author = {Zobel, Valentin}, title = {Spectral Analysis of the Hodge Laplacian on Discrete Manifolds}, year = {2010}, language = {en} } @misc{Loewen2009, type = {Master Thesis}, author = {L{\"o}wen, Christian}, title = {Parallele Berechnung kombinatorischer Vektorfelder mit CUDA}, year = {2009}, language = {de} } @book{OPUS4-4176, title = {EuroVis 2009}, editor = {Hege, Hans-Christian and Hotz, Ingrid and Munzner, Tamara}, publisher = {Blackwell Publishing}, year = {2009}, language = {en} } @phdthesis{Kratz2013, author = {Kratz, Andrea}, title = {Three-Dimensional Second-Order Tensor Fields: Exploratory Visualization and Anisotropic Sampling}, school = {Freie Universit{\"a}t Berlin}, pages = {XIV, 157 S.}, year = {2013}, abstract = {Tensors provide a powerful mathematical language to describe physical phenomena. Consequently, they have a long tradition in physics and appear in various application areas, either as intermediate product or as output of simulations or measurements. The potential of tensors to describe complex anisotropic behavior, however, concurrently complicates their interpretation. The central research question of this thesis is how three-dimensional tensor fields of second order are visualized effectively so that, as a long term goal, their interpretation becomes easier. The focus of this thesis lies on the class of indefinite tensors. The methods that are proposed in this thesis fall into two main categories: (1.) the interactive exploration of the three-dimensional tensor data, and (2.) the geometric reduction of the data to two-dimensional planes or triangulated surfaces. In both cases, possible visualization approaches are presented. For interactive exploration of the data, we propose to combine diagram views with three-dimensional hybrid visualizations. We show that this facilitates familiarizing with the data and leads to exciting analytic queries. If a geometric data reduction is possible, we focus on glyph- and texture-based methods. In this context, the thesis is concerned with methods to improve their quality. Therefore, we propose two algorithms for the efficient creation of anisotropic sample distributions. Moreover, we present a novel visualization method that works on planar slices as well as on triangulated surfaces. The basic idea of this method is to use anisotropic sample distributions for the efficient computation of anisotropic Voronoi cells, which then are used as base elements for texture mapping. Hence, the usage of textures to encode the tensor's various degrees of freedom becomes possible. We evaluate our methods for the interactive exploration on stress tensor fields from structure simulations. To show the ffectiveness of novel visualization methods, various datasets are presented.}, language = {en} } @misc{ReininghausGuentherHotzetal.2012, author = {Reininghaus, Jan and G{\"u}nther, David and Hotz, Ingrid and Weinkauf, Tino and Seidel, Hans Peter}, title = {Combinatorial Gradient Fields for 2D Images with Empirically Convergent Separatrices}, arxiv = {http://arxiv.org/abs/1208.6523v1}, year = {2012}, language = {en} } @inproceedings{KastenZoufahlHegeetal.2012, author = {Kasten, Jens and Zoufahl, Andre and Hege, Hans-Christian and Hotz, Ingrid}, title = {Analysis of Vortex Merge Graphs}, booktitle = {VMV 2012: Vision, Modeling and Visualization}, publisher = {Eurographics Association}, doi = {10.2312/PE/VMV/VMV12/111-118}, pages = {111 -- 118}, year = {2012}, 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}, 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}, 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}, 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} } @article{ReininghausKastenWeinkaufetal.2012, author = {Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid}, title = {Efficient Computation of Combinatorial Feature Flow Fields}, volume = {18}, journal = {Transactions on Visualization and Computer Graphics}, number = {9}, doi = {10.1109/TVCG.2011.269}, pages = {1563 -- 1573}, year = {2012}, language = {en} } @inproceedings{AuerKastenKratzetal.2013, author = {Auer, Cornelia and Kasten, Jens and Kratz, Andrea and Zhang, Eugene and Hotz, Ingrid}, title = {Automatic, Tensor-Guided Illustrative Vector Field Visualization}, booktitle = {Proc. IEEE Pacific Visualization Symposium 2013}, address = {Sydney, Australia}, doi = {10.1109/PacificVis.2013.6596154}, pages = {265 -- 275}, year = {2013}, language = {en} } @article{KratzAuerStommeletal.2013, author = {Kratz, Andrea and Auer, Cornelia and Stommel, Markus and Hotz, Ingrid}, title = {Visualization and Analysis of Second-Order Tensors: Moving Beyond the Symmetric Positive-Definite Case}, volume = {1}, journal = {Computer Graphics Forum - State of the Art Reports}, doi = {10.1111/j.1467-8659.2012.03231.x}, pages = {49 -- 74}, year = {2013}, language = {en} } @article{GuentherReininghausWagneretal.2011, author = {G{\"u}nther, David and Reininghaus, Jan and Wagner, Hubert and Hotz, Ingrid}, title = {Memory-Efficient Computation of Persistent Homology for 3D Images using Discrete Morse Theory}, journal = {Proc. Sibgrapi - Conference on Graphics, Patterns and Images}, publisher = {Kluwer Academic Publishers}, year = {2011}, language = {en} } @inproceedings{BoyerBronsteinBronsteinetal.2011, author = {Boyer, Edmond and Bronstein, Alexander and Bronstein, Michael and Bustos, Benjamin and Darom, Tal and Horaud, Radu and Hotz, Ingrid and Keller, Yosi and Keustermans, Johannes and Kovnatsky, Artiom and Litman, Roee and Reininghaus, Jan and Sipiran, Ivan and Smeets, Dirk and Suetens, Paul and Vandermeulen, Dirk and Zaharescu, Andrei and Zobel, Valentin}, title = {SHREC 2011: robust feature detection and description benchmark}, booktitle = {Proc. Eurographics 2011 Workshop on 3D Object Retrieval (3DOR'11)}, publisher = {Eurographics Association}, doi = {10.2312/3DOR/3DOR11/079-088 target}, pages = {71 -- 78}, year = {2011}, language = {en} } @inproceedings{AuerHotz2011, author = {Auer, Cornelia and Hotz, Ingrid}, title = {Complete Tensor Field Topology on 2D Triangulated Manifolds embedded in 3D}, volume = {30}, booktitle = {Computer Graphics Forum (EuroVis'11)}, number = {3 target}, pages = {831 -- 840}, year = {2011}, language = {en} } @inproceedings{AuerStripfKratzetal.2012, author = {Auer, Cornelia and Stripf, Claudia and Kratz, Andrea and Hotz, Ingrid}, title = {Glyph- and Texture-based Visualization of Segmented Tensor Fields}, booktitle = {GRAPP/IVAPP Proc. Int. Conf. on Computer Graphics Theory and Applications and Int. Conf. on Information Visualization Theory and Applications}, publisher = {SciTePress}, isbn = {978-989-8565-02-0}, doi = {10.5220/0003857106700677}, pages = {670 -- 677}, year = {2012}, language = {en} } @article{ReininghausKotavaGuentheretal.2011, author = {Reininghaus, Jan and Kotava, N. and G{\"u}nther, David and Kasten, Jens and Hagen, Hans and Hotz, Ingrid}, title = {A Scale Space Based Persistence Measure for Critical Points in 2D Scalar Fields}, volume = {17}, journal = {Visualization and Computer Graphics, IEEE Transactions on}, number = {12}, doi = {10.1109/TVCG.2011.159}, pages = {2045 -- 2052}, 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}, 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}, 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}, volume = {17}, journal = {IEEE Trans. Computer Graphics and Visualization}, number = {10}, pages = {1433 -- 1443}, 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} } @inproceedings{ReininghausGuentherHotzetal.2010, author = {Reininghaus, Jan and G{\"u}nther, David and Hotz, Ingrid and Prohaska, Steffen and Hege, Hans-Christian}, title = {TADD: A Computational Framework for Data Analysis Using Discrete Morse Theory}, volume = {6327}, booktitle = {Mathematical Software - ICMS 2010}, publisher = {Springer}, doi = {10.1007/978-3-642-15582-6_35}, pages = {198 -- 208}, year = {2010}, language = {en} } @article{HegeKastenHotz2011, author = {Hege, Hans-Christian and Kasten, Jens and Hotz, Ingrid}, title = {Distillation and Visualization of Spatiotemporal Structures in Turbulent Flow Fields}, volume = {318}, journal = {J. Phys.}, edition = {6}, doi = {10.1088/1742-6596/318/6/062009}, pages = {062009}, year = {2011}, language = {en} } @misc{GuentherReininghausProhaskaetal.2012, author = {G{\"u}nther, David and Reininghaus, Jan and Prohaska, Steffen and Weinkauf, Tino and Hege, Hans-Christian}, title = {Efficient Computation of a Hierarchy of Discrete 3D Gradient Vector Fields}, journal = {Topological Methods in Data Analysis and Visualization II}, editor = {Peikert, Ronny and Hauser, Helwig and Carr, Hamish}, publisher = {Springer}, doi = {10.1007/978-3-642-23175-9_2}, pages = {15 -- 29}, year = {2012}, language = {en} } @misc{KastenHotzHege2012, author = {Kasten, Jens and Hotz, Ingrid and Hege, Hans-Christian}, title = {On the Elusive Concept of Lagrangian Coherent Structures}, 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}, year = {2012}, language = {en} } @article{ZobelReininghausHotz2011, author = {Zobel, Valentin and Reininghaus, Jan and Hotz, Ingrid}, title = {Generalized Heat Kernel Signature}, journal = {Journal of WSCG, International Conference on Computer Graphics, Visualization and Computer Vision}, pages = {93 -- 100target}, year = {2011}, language = {en} } @misc{KratzHadwigerHotz2011, author = {Kratz, Andrea and Hadwiger, Markus and Hotz, Ingrid}, title = {Improved Visual Exploration and Hybrid Rendering of Stress Tensor Fields via Shape-Space Clustering.}, publisher = {Poster presentation at the IEEE VisWeek 2011, Providence}, 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}, 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} } @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}, volume = {22}, journal = {Physics of Fluids}, number = {9}, doi = {10.1063/1.3483220}, pages = {091108}, year = {2010}, language = {en} } @misc{ReininghausHotz2011, author = {Reininghaus, Jan and Hotz, Ingrid}, title = {Combinatorial 2D Vector Field Topology Extraction and Simplification}, journal = {Topological Methods in Data Analysis and Visualization}, editor = {Pascucci, Valerio and Tricoche, Xavier and Hagen, Hans and Tierny, Julien}, publisher = {Springer}, isbn = {978-3-642-15013-5}, doi = {10.1007/978-3-642-15014-2_9}, pages = {103 -- 114}, year = {2011}, language = {en} } @incollection{KastenWeinkaufPetzetal.2010, author = {Kasten, Jens and Weinkauf, Tino and Petz, Christoph and Hotz, Ingrid and Noack, Bernd R. and Hege, Hans-Christian}, title = {Extraction of Coherent Structures from Natural and Actuated Flows}, volume = {108}, booktitle = {Active Flow Control II}, publisher = {Springer, Berlin}, isbn = {978-3-642-11734-3}, doi = {10.1007/978-3-642-11735-0_24}, pages = {373 -- 387}, year = {2010}, language = {en} } @misc{SreevalsanNairAuerHamannetal.2011, author = {Sreevalsan-Nair, Jaya and Auer, Cornelia and Hamann, Bernd and Hotz, Ingrid}, title = {Eigenvector-based Interpolation and Segmentation of 2D Tensor Fields}, journal = {Topological Methods in Data Analysis and Visualization}, editor = {Pascucci, Valerio and Tricoche, Xavier and Hagen, Hans and Tierny, Julien}, publisher = {Springer}, isbn = {978-3-642-15013-5}, doi = {10.1007/978-3-642-15014-2_12}, pages = {139 -- 150}, 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}, 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}, 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}, 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} }