@inproceedings{KratzSchoeneichZobeletal., author = {Kratz, Andrea and Sch{\"o}neich, Marc and Zobel, Valentin and Burgeth, Bernhard and Scheuermann, Gerik and Hotz, Ingrid and Stommel, Markus}, title = {Tensor Visualization Driven Mechanical Component Design}, series = {Proc. IEEE Pacific Visualization Symposium 2014}, booktitle = {Proc. IEEE Pacific Visualization Symposium 2014}, doi = {10.1109/PacificVis.2014.51}, pages = {145 -- 152}, language = {en} } @inproceedings{KuhnEngelkeFlatkenetal., author = {Kuhn, Alexander and Engelke, Wito and Flatken, Markus and Hege, Hans-Christian and Hotz, Ingrid}, title = {Topology-based Analysis for Multimodal Atmospheric Data of Volcano Eruptions}, series = {Topological Methods in Data Analysis and Visualization IV}, booktitle = {Topological Methods in Data Analysis and Visualization IV}, publisher = {Springer}, address = {Cham, Schweiz}, doi = {10.1007/978-3-319-44684-4_2}, pages = {35 -- 50}, language = {en} } @misc{KuhnEngelkeFlatkenetal., author = {Kuhn, Alexander and Engelke, Wito and Flatken, Markus and Hege, Hans-Christian and Hotz, Ingrid}, title = {Topology-based Analysis for Multimodal Atmospheric Data of Volcano Eruptions}, issn = {1438-0064}, doi = {10.1007/978-3-319-44684-4_2}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-57043}, abstract = {Many scientific applications deal with data from a multitude of different sources, e.g., measurements, imaging and simulations. Each source provides an additional perspective on the phenomenon of interest, but also comes with specific limitations, e.g. regarding accuracy, spatial and temporal availability. Effectively combining and analyzing such multimodal and partially incomplete data of limited accuracy in an integrated way is challenging. In this work, we outline an approach for an integrated analysis and visualization of the atmospheric impact of volcano eruptions. The data sets comprise observation and imaging data from satellites as well as results from numerical particle simulations. To analyze the clouds from the volcano eruption in the spatiotemporal domain we apply topological methods. Extremal structures reveal structures in the data that support clustering and comparison. We further discuss the robustness of those methods with respect to different properties of the data and different parameter setups. Finally we outline open challenges for the effective integrated visualization using topological methods.}, language = {en} } @inproceedings{ReininghausGuentherHotzetal.2010, author = {Reininghaus, Jan and G{\"u}nther, David and Hotz, Ingrid and Prohaska, Steffen and Hege, Hans-Christian}, title = {TADD: A Computational Framework for Data Analysis Using Discrete Morse Theory}, series = {Mathematical Software - ICMS 2010}, volume = {6327}, booktitle = {Mathematical Software - ICMS 2010}, publisher = {Springer}, doi = {10.1007/978-3-642-15582-6_35}, pages = {198 -- 208}, year = {2010}, 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{ReininghausHotz2011, author = {Reininghaus, Jan and Hotz, Ingrid}, title = {Combinatorial 2D Vector Field Topology Extraction and Simplification}, series = {Topological Methods in Data Analysis and Visualization}, journal = {Topological Methods in Data Analysis and Visualization}, editor = {Pascucci, Valerio and Tricoche, Xavier and Hagen, Hans and Tierny, Julien}, publisher = {Springer}, isbn = {978-3-642-15013-5}, doi = {10.1007/978-3-642-15014-2_9}, pages = {103 -- 114}, year = {2011}, 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} } @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{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} } @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} }