TY - THES A1 - Kasten, Jens T1 - Lagrangian feature extraction in two-dimensional unsteady flows Y1 - 2012 ER - TY - THES A1 - Reininghaus, Jan T1 - Computational discrete Morse theory Y1 - 2012 ER - TY - THES A1 - van den Bruck, Nils T1 - Techniken zur Artefaktreduktion für GPU-basiertes Ray Casting Y1 - 2009 ER - TY - THES A1 - Kettlitz, Nino T1 - Anisotropes Sampling in der Tensorfeldvisualisierung Y1 - 2011 ER - TY - THES A1 - Retzlaff, Michelle T1 - Brushing and Linking Methods by the Example of Tensor Visualization Y1 - 2011 ER - TY - THES A1 - Zobel, Valentin T1 - Spectral Analysis of the Hodge Laplacian on Discrete Manifolds Y1 - 2010 ER - TY - THES A1 - Löwen, Christian T1 - Parallele Berechnung kombinatorischer Vektorfelder mit CUDA Y1 - 2009 ER - TY - BOOK ED - Hege, Hans-Christian ED - Hotz, Ingrid ED - Munzner, Tamara T1 - EuroVis 2009 Y1 - 2009 PB - Blackwell Publishing ER - TY - THES A1 - Kratz, Andrea T1 - Three-Dimensional Second-Order Tensor Fields: Exploratory Visualization and Anisotropic Sampling N2 - 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. KW - visualization KW - tensors of second order KW - exploratory visualization KW - anisotropic sampling of tensor fields Y1 - 2013 UR - http://www.diss.fu-berlin.de/diss/receive/FUDISS_thesis_000000094629 ER - TY - GEN A1 - Reininghaus, Jan A1 - Günther, David A1 - Hotz, Ingrid A1 - Weinkauf, Tino A1 - Seidel, Hans Peter T1 - Combinatorial Gradient Fields for 2D Images with Empirically Convergent Separatrices Y1 - 2012 UR - http://arxiv.org/abs/1208.6523 ER - TY - CHAP A1 - Kasten, Jens A1 - Zoufahl, Andre A1 - Hege, Hans-Christian A1 - Hotz, Ingrid T1 - Analysis of Vortex Merge Graphs T2 - VMV 2012: Vision, Modeling and Visualization Y1 - 2012 U6 - https://doi.org/10.2312/PE/VMV/VMV12/111-118 SP - 111 EP - 118 PB - Eurographics Association ER -