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 - 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 - GEN A1 - Kasten, Jens A1 - Hotz, Ingrid A1 - Hege, Hans-Christian ED - Peikert, Ronald ED - Hauser, Helwig ED - Carr, Hamish ED - Fuchs, Raphael T1 - On the Elusive Concept of Lagrangian Coherent Structures T2 - Topological Methods in Data Analysis and Visualization II Y1 - 2012 U6 - https://doi.org/10.1007/978-3-642-23175-9_14 SP - 207 EP - 220 PB - Springer 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 - TY - JOUR A1 - Günther, David A1 - Reininghaus, Jan A1 - Wagner, Hubert A1 - Hotz, Ingrid T1 - Efficient Computation of 3D Morse-Smale Complexes and Persistent Homology using Discrete Morse Theory JF - The Visual Computer Y1 - 2012 U6 - https://doi.org/10.1007/s00371-012-0726-8 VL - 28 IS - 10 SP - 959 EP - 969 ER - TY - CHAP A1 - Kasten, Jens A1 - Hotz, Ingrid A1 - Noack, Bernd A1 - Hege, Hans-Christian T1 - Vortex Merge Graphs in Two-dimensional Unsteady Flow Fields T2 - EuroVis – Short Papers Y1 - 2012 UR - http://diglib.eg.org/EG/DL/PE/EuroVisShort/EuroVisShort2012/001-005.pdf U6 - https://doi.org/10.2312/PE/EuroVisShort/EuroVisShort2012/001-005 SP - 1 EP - 5 PB - Eurographics Association CY - Vienna, Austria ER - TY - GEN A1 - Reininghaus, Jan A1 - Hotz, Ingrid ED - Peikert, Ronald ED - Carr, Hamish ED - Hauser, Helwig T1 - Computational Discrete Morse Theory for Divergence-Free 2D Vector Fields T2 - Topological Methods in Data Analysis and Visualization. Theory, Algorithms, and Applications. (TopoInVis 2011) Y1 - 2012 SP - 3 EP - 14 PB - Springer ER - TY - JOUR A1 - Reininghaus, Jan A1 - Kasten, Jens A1 - Weinkauf, Tino A1 - Hotz, Ingrid T1 - Efficient Computation of Combinatorial Feature Flow Fields JF - Transactions on Visualization and Computer Graphics Y1 - 2012 U6 - https://doi.org/10.1109/TVCG.2011.269 VL - 18 IS - 9 SP - 1563 EP - 1573 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 - GEN A1 - Reininghaus, Jan A1 - Kasten, Jens A1 - Weinkauf, Tino A1 - Hotz, Ingrid T1 - Combinatorial Feature Flow Fields: Tracking Critical Points in Discrete Scalar Fields N2 - 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. T3 - ZIB-Report - 11-02 KW - data analysis KW - feature detection KW - time-varying data KW - topology-based techniques Y1 - 2011 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:0297-zib-12151 ER -