TY - GEN A1 - Kratz, Andrea A1 - Meyer, Björn A1 - Hotz, Ingrid T1 - A Visual Approach to Analysis of Stress Tensor Fields N2 - 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. T3 - ZIB-Report - 10-26 KW - Visualisierung KW - Datenanalyse KW - Tensorfelder Y1 - 2010 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-11915 ER - TY - JOUR A1 - Kratz, Andrea A1 - Baum, Daniel A1 - Hotz, Ingrid T1 - Anisotropic Sampling of Planar and Two-Manifold Domains for Texture Generation and Glyph Distribution JF - Transactions on Visualization and Computer Graphics (TVCG) Y1 - 2013 U6 - https://doi.org/10.1109/TVCG.2013.83 VL - 19 SP - 1782 EP - 1794 ER - TY - JOUR A1 - Kratz, Andrea A1 - Auer, Cornelia A1 - Stommel, Markus A1 - Hotz, Ingrid T1 - Visualization and Analysis of Second-Order Tensors: Moving Beyond the Symmetric Positive-Definite Case JF - Computer Graphics Forum - State of the Art Reports Y1 - 2013 U6 - https://doi.org/10.1111/j.1467-8659.2012.03231.x VL - 1 SP - 49 EP - 74 ER - TY - CHAP A1 - Auer, Cornelia A1 - Stripf, Claudia A1 - Kratz, Andrea A1 - Hotz, Ingrid T1 - Glyph- and Texture-based Visualization of Segmented Tensor Fields T2 - GRAPP/IVAPP Proc. Int. Conf. on Computer Graphics Theory and Applications and Int. Conf. on Information Visualization Theory and Applications Y1 - 2012 SN - 978-989-8565-02-0 U6 - https://doi.org/10.5220/0003857106700677 SP - 670 EP - 677 PB - SciTePress ER - TY - CHAP A1 - Auer, Cornelia A1 - Kasten, Jens A1 - Kratz, Andrea A1 - Zhang, Eugene A1 - Hotz, Ingrid T1 - Automatic, Tensor-Guided Illustrative Vector Field Visualization T2 - Proc. IEEE Pacific Visualization Symposium 2013 Y1 - 2013 U6 - https://doi.org/10.1109/PacificVis.2013.6596154 SP - 265 EP - 275 CY - Sydney, Australia ER - TY - JOUR A1 - Redemann, Stefanie A1 - Baumgart, Johannes A1 - Lindow, Norbert A1 - Shelley, Michael A1 - Nazockdast, Ehssan A1 - Kratz, Andrea A1 - Prohaska, Steffen A1 - Brugués, Jan A1 - Fürthauer, Sebastian A1 - Müller-Reichert, Thomas T1 - C. elegans chromosomes connect to centrosomes by anchoring into the spindle network JF - Nature Communications N2 - The mitotic spindle ensures the faithful segregation of chromosomes. Here we combine the first large-scale serial electron tomography of whole mitotic spindles in early C. elegans embryos with live-cell imaging to reconstruct all microtubules in 3D and identify their plus- and minus-ends. We classify them as kinetochore (KMTs), spindle (SMTs) or astral microtubules (AMTs) according to their positions, and quantify distinct properties of each class. While our light microscopy and mutant studies show that microtubules are nucleated from the centrosomes, we find only a few KMTs directly connected to the centrosomes. Indeed, by quantitatively analysing several models of microtubule growth, we conclude that minus-ends of KMTs have selectively detached and depolymerized from the centrosome. In toto, our results show that the connection between centrosomes and chromosomes is mediated by an anchoring into the entire spindle network and that any direct connections through KMTs are few and likely very transient. Y1 - 2017 U6 - https://doi.org/10.1038/ncomms15288 VL - 8 IS - 15288 ER - TY - CHAP A1 - Kratz, Andrea A1 - Kettlitz, Nino A1 - Hotz, Ingrid T1 - Particle-Based Anisotropic Sampling for Two-Dimensional Tensor Field Visualization T2 - Vision Modeling and Visualization (VMV’11) Y1 - 2011 SP - 145 EP - 152 PB - Eurographics Association target ER - TY - GEN A1 - Kratz, Andrea A1 - Meyer, Björn A1 - Hotz, Ingrid ED - Hagen, Hans T1 - A Visual Approach to Analysis of Stress Tensor Fields T2 - Scientific Visualization: Interactions, Features, Metaphors Y1 - 2011 UR - http://drops.dagstuhl.de/opus/volltexte/2011/3296 U6 - https://doi.org/10.4230/DFU.Vol2.SciViz.2011.188 VL - 2 SP - 188 EP - 211 PB - Schloss Dagstuhl–Leibniz-Zentrum fuer Informatik CY - Dagstuhl, Germany ER - TY - CHAP A1 - Kratz, Andrea A1 - Schöneich, Marc A1 - Zobel, Valentin A1 - Burgeth, Bernhard A1 - Scheuermann, Gerik A1 - Hotz, Ingrid A1 - Stommel, Markus T1 - Tensor Visualization Driven Mechanical Component Design T2 - Proc. IEEE Pacific Visualization Symposium 2014 Y1 - 2014 U6 - https://doi.org/10.1109/PacificVis.2014.51 SP - 145 EP - 152 ER - TY - JOUR A1 - Schöneich, Marc A1 - Stommel, Markus A1 - Kratz, Andrea A1 - Zobel, Valentin A1 - Scheuermann, Gerik A1 - Hotz, Ingrid A1 - Burgeth, Bernhard T1 - Optimization strategy for the design of ribbed plastic components JF - International Journal of Plastics Technology Y1 - 2014 IS - 10 SP - 160 EP - 175 ER -