@misc{RosanwoPetzProhaskaetal., author = {Rosanwo, Olufemi and Petz, Christoph and Prohaska, Steffen and Hotz, Ingrid and Hege, Hans-Christian}, title = {Dual Streamline Seeding - Method and Implementation}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-11032}, number = {08-49}, abstract = {This work introduces a novel streamline seeding technique based on dual streamlines that are orthogonal to the vector field, instead of tangential. The greedy algorithm presented here produces a net of orthogonal streamlines that is iteratively refined resulting in good domain coverage and a high degree of continuity and uniformity. The algorithm is easy to implement and efficient, and it naturally extends to curved surfaces.}, language = {en} } @misc{KratzMeyerHotz2010, author = {Kratz, Andrea and Meyer, Bj{\"o}rn and Hotz, Ingrid}, title = {A Visual Approach to Analysis of Stress Tensor Fields}, doi = {/10.4230/DFU.Vol2.SciViz.2011.188}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-11915}, number = {10-26}, year = {2010}, abstract = {We present a visual approach for the exploration of stress tensor fields. Therefore, we introduce the idea of multiple linked views to tensor visualization. In contrast to common tensor visualization methods that only provide a single view to the tensor field, we pursue the idea of providing various perspectives onto the data in attribute and object space. Especially in the context of stress tensors, advanced tensor visualization methods have a young tradition. Thus, we propose a combination of visualization techniques domain experts are used to with statistical views of tensor attributes. The application of this concept to tensor fields was achieved by extending the notion of shape space. It provides an intuitive way of finding tensor invariants that represent relevant physical properties. Using brushing techniques, the user can select features in attribute space, which are mapped to displayable entities in a three-dimensional hybrid visualization in object space. Volume rendering serves as context, while glyphs encode the whole tensor information in focus regions. Tensorlines can be included to emphasize directionally coherent features in the tensor field. We show that the benefit of such a multi-perspective approach is manifold. Foremost, it provides easy access to the complexity of tensor data. Moreover, including wellknown analysis tools, such as Mohr diagrams, users can familiarize themselves gradually with novel visualization methods. Finally, by employing a focus-driven hybrid rendering, we significantly reduce clutter, which was a major problem of other three-dimensional tensor visualization methods.}, language = {en} } @misc{ReininghausKastenWeinkaufetal., author = {Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid}, title = {Combinatorial Feature Flow Fields: Tracking Critical Points in Discrete Scalar Fields}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-12151}, number = {11-02}, abstract = {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.}, 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}, series = {J. Phys.}, volume = {318}, journal = {J. Phys.}, edition = {6}, doi = {10.1088/1742-6596/318/6/062009}, pages = {062009}, year = {2011}, language = {en} } @article{KratzBaumHotz2013, author = {Kratz, Andrea and Baum, Daniel and Hotz, Ingrid}, title = {Anisotropic Sampling of Planar and Two-Manifold Domains for Texture Generation and Glyph Distribution}, series = {Transactions on Visualization and Computer Graphics (TVCG)}, volume = {19}, journal = {Transactions on Visualization and Computer Graphics (TVCG)}, doi = {10.1109/TVCG.2013.83}, pages = {1782 -- 1794}, 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}, series = {Computer Graphics Forum - State of the Art Reports}, 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} } @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}, series = {GRAPP/IVAPP Proc. Int. Conf. on Computer Graphics Theory and Applications and Int. Conf. on Information Visualization Theory and Applications}, 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{KastenReininghausHotzetal.2011, author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian}, title = {Two-Dimensional Time-Dependent Vortex Regions Based on the Acceleration Magnitude}, series = {IEEE Transactions on Visualization and Computer Graphics}, volume = {17}, journal = {IEEE Transactions on Visualization and Computer Graphics}, number = {12}, pages = {2080 -- 2087target}, year = {2011}, 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}, series = {Visualization and Computer Graphics, IEEE Transactions on}, 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} } @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}, series = {Proc. Sibgrapi - Conference on Graphics, Patterns and Images}, 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}, series = {Proc. Eurographics 2011 Workshop on 3D Object Retrieval (3DOR'11)}, 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}, series = {Computer Graphics Forum (EuroVis'11)}, volume = {30}, booktitle = {Computer Graphics Forum (EuroVis'11)}, number = {3 target}, pages = {831 -- 840}, year = {2011}, 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}, series = {Mathematical Software - ICMS 2010}, 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} } @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}, series = {Active Flow Control II}, 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}, 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}, isbn = {978-3-642-15013-5}, doi = {10.1007/978-3-642-15014-2_12}, pages = {139 -- 150}, year = {2011}, language = {en} } @misc{ZobelReininghausHotz2013, author = {Zobel, Valentin and Reininghaus, Jan and Hotz, Ingrid}, title = {Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature}, series = {Topological Methods in Data Analysis and Visualization III}, journal = {Topological Methods in Data Analysis and Visualization III}, address = {Davis, CA, USA}, pages = {249 -- 262}, year = {2013}, 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}, series = {Proc. IEEE Pacific Visualization Symposium 2013}, booktitle = {Proc. IEEE Pacific Visualization Symposium 2013}, address = {Sydney, Australia}, doi = {10.1109/PacificVis.2013.6596154}, pages = {265 -- 275}, year = {2013}, language = {en} } @inproceedings{RosanwoPetzProhaskaetal.2009, author = {Rosanwo, Olufemi and Petz, Christoph and Prohaska, Steffen and Hotz, Ingrid and Hege, Hans-Christian}, title = {Dual Streamline Seeding}, series = {Proceedings of the IEEE Pacific Visualization Symposium}, booktitle = {Proceedings of the IEEE Pacific Visualization Symposium}, editor = {Eades, Peter and Ertl, Thomas and Shen, Han-Wei}, address = {Beijing, China}, pages = {9 -- 16}, year = {2009}, language = {en} } @misc{ReininghausHotz2011, author = {Reininghaus, Jan and Hotz, Ingrid}, title = {Combinatorial 2D Vector Field Topology Extraction and Simplification}, 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}, isbn = {978-3-642-15013-5}, doi = {10.1007/978-3-642-15014-2_9}, pages = {103 -- 114}, year = {2011}, language = {en} } @inproceedings{EngelkeKuhnFlatkenetal.2015, author = {Engelke, Wito and Kuhn, Alexander and Flatken, Markus and Chen, Fang and Hege, Hans-Christian and Gerndt, Andreas and Hotz, Ingrid}, title = {Atmospheric Impact of Volcano Eruptions}, series = {Proceedings IEEE SciVis 2014}, booktitle = {Proceedings IEEE SciVis 2014}, year = {2015}, abstract = {The analysis of data that captures volcanic eruptions and their atmospheric aftermath plays an important role for domain experts to gain a deeper understanding of the volcanic eruption and their consequences for atmosphere, climate and air traffic. Thereby, one major challenge is to extract and combine the essential information, which is spread over various, mostly sparse data sources. This requires a careful integration of each data set with its strength and limitations. The sparse, but more reliable measurement data is mainly used to calibrate the more dense simulation data. This work combines a collection of visualization approaches into an exploitative framework. The goal is to support the domain experts to build a complete picture of the situation. But it is also important to understand the individual data sources, the wealth of their information and the quality of the simulation results. All presented methods are designed for direct interaction with the data from different perspectives rather than the sole generation of some final images.}, language = {en} } @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} } @article{ReininghausKastenWeinkaufetal.2012, author = {Reininghaus, Jan and Kasten, Jens and Weinkauf, Tino and Hotz, Ingrid}, title = {Efficient Computation of Combinatorial Feature Flow Fields}, series = {Transactions on Visualization and Computer Graphics}, volume = {18}, journal = {Transactions on Visualization and Computer Graphics}, number = {9}, doi = {10.1109/TVCG.2011.269}, pages = {1563 -- 1573}, year = {2012}, 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}, year = {2012}, language = {en} } @inproceedings{KratzSchoeneichZobeletal., author = {Kratz, Andrea and Sch{\"o}neich, Marc and Zobel, Valentin and Burgeth, Bernhard and Scheuermann, Gerik and Hotz, Ingrid and Stommel, Markus}, title = {Tensor Visualization Driven Mechanical Component Design}, series = {Proc. IEEE Pacific Visualization Symposium 2014}, booktitle = {Proc. IEEE Pacific Visualization Symposium 2014}, doi = {10.1109/PacificVis.2014.51}, pages = {145 -- 152}, language = {en} } @article{SchoeneichStommelKratzetal., author = {Sch{\"o}neich, Marc and Stommel, Markus and Kratz, Andrea and Zobel, Valentin and Scheuermann, Gerik and Hotz, Ingrid and Burgeth, Bernhard}, title = {Optimization strategy for the design of ribbed plastic components}, series = {International Journal of Plastics Technology}, journal = {International Journal of Plastics Technology}, number = {10}, pages = {160 -- 175}, language = {en} } @misc{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}, issn = {1438-0064}, doi = {10.1007/978-3-319-44684-4_2}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-57043}, abstract = {Many scientific applications deal with data from a multitude of different sources, e.g., measurements, imaging and simulations. Each source provides an additional perspective on the phenomenon of interest, but also comes with specific limitations, e.g. regarding accuracy, spatial and temporal availability. Effectively combining and analyzing such multimodal and partially incomplete data of limited accuracy in an integrated way is challenging. In this work, we outline an approach for an integrated analysis and visualization of the atmospheric impact of volcano eruptions. The data sets comprise observation and imaging data from satellites as well as results from numerical particle simulations. To analyze the clouds from the volcano eruption in the spatiotemporal domain we apply topological methods. Extremal structures reveal structures in the data that support clustering and comparison. We further discuss the robustness of those methods with respect to different properties of the data and different parameter setups. Finally we outline open challenges for the effective integrated visualization using topological methods.}, language = {en} } @misc{KratzReininghausHadwigeretal.2011, author = {Kratz, Andrea and Reininghaus, Jan and Hadwiger, Markus and Hotz, Ingrid}, title = {Adaptive Screen-Space Sampling for Volume Ray-Casting}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-12446}, number = {11-04}, year = {2011}, abstract = {This work is concerned with adaptive screen-space sampling for volume ray-casting. The goal is to reduce the number of rays being cast into the scene and, thus, the overall number of sampling points. We guarantee reliable images through explicit error control using an error estimator that is founded in the field of finite element methods (FEM). FEM theory further provides a well-founded theory to prove the efficiency of the presented algorithm via convergence analysis. We, therefore, compare the convergence behavior of our method against uniform subdivisions and a refinement scheme that was presented in the context of CPU volume ray-casting. Minimizing the number of sampling points is of interest for rendering large datasets where each evaluation might need an expensive decompression. Furthermore, with increasing screen resolutions high-resolution images are created more efficiently with our method.}, 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} }