@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{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} } @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} } @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} } @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} }