@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} }