@inproceedings{KuhnEngelkeFlatkenetal.2017, 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}, 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}, year = {2017}, language = {en} } @inproceedings{BaumMahlowLameckeretal.2014, author = {Baum, Daniel and Mahlow, Kristin and Lamecker, Hans and Zachow, Stefan and M{\"u}ller, Johannes and Hege, Hans-Christian}, title = {The Potential of Surface-based Geometric Morphometrics for Evolutionary Studies: An Example using Dwarf Snakes (Eirenis)}, booktitle = {Abstract in DigitalSpecimen 2014}, year = {2014}, abstract = {Geometric morphometrics plays an important role in evolutionary studies. The state-of-the-art in this field are landmark-based methods. Since the landmarks usually need to be placed manually, only a limited number of landmarks are generally used to represent the shape of an anatomical structure. As a result, shape characteristics that cannot be properly represented by small sets of landmarks are disregarded. In this study, we present a method that is free of this limitation. The method takes into account the whole shape of an anatomical structure, which is represented as a surface, hence the term 'surface-based morphometrics'. Correspondence between two surfaces is established by defining a partitioning of the surfaces into homologous surface patches. The first step for the generation of a surface partitioning is to place landmarks on the surface. Subsequently, the landmarks are connected by curves lying on the surface. The curves, called 'surface paths', might either follow specific anatomical features or they can be geodesics, that is, shortest paths on the surface. One important requirement, however, is that the resulting surface path networks are topologically equivalent across all surfaces. Once the surface path networks have been defined, the surfaces are decomposed into patches according to the path networks. This approach has several advantages. One of them is that we can discretize the surface by as many points as desired. Thus, even fine shape details can be resolved if this is of interest for the study. Since a point discretization is used, another advantage is that well-established analysis methods for landmark-based morphometrics can be utilized. Finally, the shapes can be easily morphed into one another, thereby greatly supporting the understanding of shape changes across all considered specimens. To show the potential of the described method for evolutionary studies of biological specimens, we applied the method to the para-basisphenoid complex of the snake genus Eirenis. By using this anatomical structure as example, we present all the steps that are necessary for surface-based morphometrics, including the segmentation of the para-basisphenoid complex from micro-CT data sets. We also show some first results using statistical analysis as well as classification methods based on the presented technique.}, language = {en} } @misc{StoppelHegeWiebel2014, author = {Stoppel, Sergej and Hege, Hans-Christian and Wiebel, Alexander}, title = {Visibility-Driven Depth Determination of Surface Patches in Direct Volume Rendering}, issn = {1438-0064}, doi = {10.2312/eurovisshort.20141164}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-50266}, year = {2014}, abstract = {This paper presents an algorithm called surfseek for selecting surfaces on the most visible features in direct volume rendering (DVR). The algorithm is based on a previously published technique (WYSIWYP) for picking 3D locations in DVR. The new algorithm projects a surface patch on the DVR image, consisting of multiple rays. For each ray the algorithm uses WYSIWYP or a variant of it to find the candidates for the most visible locations along the ray. Using these candidates the algorithm constructs a graph and computes a minimum cut on this graph. The minimum cut represents a very visible but relatively smooth surface. In the last step the selected surface is displayed. We provide examples for the results in real-world dataset as well as in artificially generated datasets.}, language = {en} } @misc{PolthierSullivanZiegleretal.2014, author = {Polthier, Konrad and Sullivan, John and Ziegler, G{\"u}nter M. and Hege, Hans-Christian}, title = {Visualization}, journal = {MATHEON - Mathematics for Key Technologies}, editor = {Deuflhard, Peter and et al.,}, publisher = {European Mathematical Society}, isbn = {978-3-03719-137-8}, doi = {10.4171/137}, pages = {335 -- 339}, year = {2014}, language = {en} } @misc{LameckerHegeTabelowetal.2014, author = {Lamecker, Hans and Hege, Hans-Christian and Tabelow, Karsten and Polzehl, J{\"o}rg}, title = {Image Processing}, journal = {MATHEON - Mathematics for Key Technologies}, editor = {Deuflhard, Peter and et al.,}, publisher = {European Mathematical Society}, doi = {10.4171/137}, pages = {359 -- 376}, year = {2014}, language = {en} } @inproceedings{EngelkeKuhnFlatkenetal.2014, author = {Engelke, Wito and Kuhn, Alexander and Flatken, Markus and Chen, Fang and Hege, Hans-Christian and Gerndt, Andreas and Hotz, Ingrid}, title = {Atmospheric Impact of Volcano Eruptions}, booktitle = {Proceedings IEEE SciVis 2014}, year = {2014}, abstract = {The analysis of data that captures volcanic eruptions and their atmospheric aftermath plays an important role for domain experts to gain a deeper understanding of the volcanic eruption and their consequences for atmosphere, climate and air traffic. Thereby, one major challenge is to extract and combine the essential information, which is spread over various, mostly sparse data sources. This requires a careful integration of each data set with its strength and limitations. The sparse, but more reliable measurement data is mainly used to calibrate the more dense simulation data. This work combines a collection of visualization approaches into an exploitative framework. The goal is to support the domain experts to build a complete picture of the situation. But it is also important to understand the individual data sources, the wealth of their information and the quality of the simulation results. All presented methods are designed for direct interaction with the data from different perspectives rather than the sole generation of some final images.}, language = {en} } @misc{KozlikovaKroneFalketal.2015, author = {Kozlikova, Barbora and Krone, Michael and Falk, Martin and Lindow, Norbert and Baaden, Marc and Baum, Daniel and Viola, Ivan and Parulek, Julius and Hege, Hans-Christian}, title = {Visualization of Biomolecular Structures: State of the Art}, issn = {1438-0064}, doi = {10.2312/eurovisstar.20151112}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-57217}, year = {2015}, abstract = {Structural properties of molecules are of primary concern in many fields. This report provides a comprehensive overview on techniques that have been developed in the fields of molecular graphics and visualization with a focus on applications in structural biology. The field heavily relies on computerized geometric and visual representations of three-dimensional, complex, large, and time-varying molecular structures. The report presents a taxonomy that demonstrates which areas of molecular visualization have already been extensively investigated and where the field is currently heading. It discusses visualizations for molecular structures, strategies for efficient display regarding image quality and frame rate, covers different aspects of level of detail, and reviews visualizations illustrating the dynamic aspects of molecular simulation data. The survey concludes with an outlook on promising and important research topics to foster further success in the development of tools that help to reveal molecular secrets.}, language = {en} } @inproceedings{KozlikovaKroneLindowetal.2015, author = {Kozlikova, Barbora and Krone, Michael and Lindow, Norbert and Falk, Martin and Baaden, Marc and Baum, Daniel and Viola, Ivan and Parulek, Julius and Hege, Hans-Christian}, title = {Visualization of Biomolecular Structures: State of the Art}, booktitle = {EuroVis 2015 STARS Proceedings}, doi = {10.2312/eurovisstar.20151112}, pages = {61 -- 81}, year = {2015}, abstract = {Structural properties of molecules are of primary concern in many fields. This report provides a comprehensive overview on techniques that have been developed in the fields of molecular graphics and visualization with a focus on applications in structural biology. The field heavily relies on computerized geometric and visual representations of three-dimensional, complex, large, and time-varying molecular structures. The report presents a taxonomy that demonstrates which areas of molecular visualization have already been extensively investigated and where the field is currently heading. It discusses visualizations for molecular structures, strategies for efficient display regarding image quality and frame rate, covers different aspects of level of detail, and reviews visualizations illustrating the dynamic aspects of molecular simulation data. The report concludes with an outlook on promising and important research topics to enable further success in advancing the knowledge about interaction of molecular structures.}, language = {en} } @misc{DeuflhardHege2015, author = {Deuflhard, Peter and Hege, Hans-Christian}, title = {Raumtiefe in Malerei und Computergrafik}, journal = {R{\"a}ume - Bilder - Kulturen}, editor = {Lepper, Verena and Deuflhard, Peter and Markschies, Christoph}, publisher = {Walter De Gruyter}, isbn = {978-3-11-035993-0}, pages = {33 -- 46}, year = {2015}, abstract = {Einf{\"u}hrung: Die Tiefenwirkung dreidimensionaler R{\"a}ume in einem zweidimensionalen Bild einzufangen, ist ein Faszinosum nahezu aller Kulturen der Menschheitsgeschichte. Der vorliegende Aufsatz folgt den Spuren dieses Faszinosums, vergleichend in der Malerei und der mathematisierten Computergrafik. Die Entdeckung der Zentralperspektive in der italienischen Renaissance zeigt bereits den engen Zusammenhang von Malerei und Mathematik. Auf der Suche nach Maltechniken, mit denen Raumtiefe bildnerisch dargestellt werden kann, beginnen wir in Kap. 2 mit einem chronologischen Gang durch verschiedene Epochen der europ{\"a}ischen Malerei. Hieraus abgeleitete Prinzipien, soweit sie im Rechner realisierbar scheinen, stellen wir in Kap. 3 am Beispiel moderner Methoden der mathematischen Visualisierung vor.}, language = {de} } @misc{KuhnEngelkeFlatkenetal.2016, 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}, year = {2016}, 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} }