@article{GuentherKuhnHegeetal., author = {G{\"u}nther, Tobias and Kuhn, Alexander and Hege, Hans-Christian and Theisel, Holger}, title = {MCFTLE: Monte Carlo Rendering of Finite-Time Lyapunov Exponent Fields}, series = {Computer Graphics Forum}, volume = {35}, journal = {Computer Graphics Forum}, number = {3}, doi = {10.1111/cgf.12914}, pages = {381 -- 390}, language = {en} } @inproceedings{SagnolHegeWeiser, author = {Sagnol, Guillaume and Hege, Hans-Christian and Weiser, Martin}, title = {Using sparse kernels to design computer experiments with tunable precision}, series = {22nd Intern. Conf. on Computational Statistics - COMPSTAT 2016, Oviedo, Spain, 23-26 August 2016, Proceedings ISBN 978-90-73592-36-0}, booktitle = {22nd Intern. Conf. on Computational Statistics - COMPSTAT 2016, Oviedo, Spain, 23-26 August 2016, Proceedings ISBN 978-90-73592-36-0}, pages = {397 -- 408}, language = {en} } @inproceedings{BaumMahlowLameckeretal., 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)}, series = {Abstract in DigitalSpecimen 2014}, booktitle = {Abstract in DigitalSpecimen 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{GuentherKuhnHegeetal., author = {G{\"u}nther, Tobias and Kuhn, Alexander and Hege, Hans-Christian and Gross, Markus and Theisel, Holger}, title = {Progressive Monte-Carlo Rendering of Atmospheric Flow Features Across Scales}, series = {69th Annual Meeting of the APS Division of Fluid Dynamics, Gallery of Fluid Motion, Nov 20-22, 2016, Portland, OR, USA.}, journal = {69th Annual Meeting of the APS Division of Fluid Dynamics, Gallery of Fluid Motion, Nov 20-22, 2016, Portland, OR, USA.}, doi = {10.1103/APS.DFD.2016.GFM.P0030}, abstract = {To improve existing weather prediction and reanalysis capabilities, high-resolution and multi-modal climate data becomes an increasingly important topic. The advent of increasingly dense numerical simulation of atmospheric phenomena, provides new means to better understand dynamic processes and to visualize structural flow patterns that remain hidden otherwise. In the presented illustrations we demonstrate an advanced technique to visualize multiple scales of dense flow fields and Lagrangian patterns therein, simulated by state-of-the-art simulation models for each scale. They provide a deeper insight into the structural differences and patterns that occur on each scale and highlight the complexity of flow phenomena in our atmosphere.}, language = {en} } @inproceedings{ArltLindowBaumetal., author = {Arlt, Tobias and Lindow, Norbert and Baum, Daniel and Hilger, Andre and Mahnke, Ingo and Hege, Hans-Christian and Lepper, Verena and Siopi, Tzulia and Mahnke, Heinz.Eberhard}, title = {Virtual Access to Hidden Texts - Study of Ancient Papyri}, series = {Eighth Joint BER II and BESSY II User Meeting, Dec 7-9, 2016, Berlin, Germany}, booktitle = {Eighth Joint BER II and BESSY II User Meeting, Dec 7-9, 2016, Berlin, Germany}, abstract = {When physical unfolding/unrolling of papyri is not possible or too dangerous for preserving the precious object, tomographic approaches may be the ap- propriate alternative. Requirements are the resolution and the contrast to distinguish writing and substrate. The steps to be performed are the following: (1) Select the object of interest (archaeological arguments, cultural back- ground of the object, etc.). (2) Find the proper physical procedure, especially with respect to contrast, take the tomographic data, e.g. by absorption x-ray tomography. (3) Apply mathematical unfolding transformations to the tomographic data, in order to obtain a 2d-planar reconstruction of text.}, language = {en} } @inproceedings{KuhnHege, author = {Kuhn, Alexander and Hege, Hans-Christian}, title = {Object-based visualization and evaluation of cloud-resolving simulations}, series = {Book of Abstracts, SCCS 2017 - Scaling Cascades in Complex Systems, Mar 27-29, 2017, Berlin, Germany}, booktitle = {Book of Abstracts, SCCS 2017 - Scaling Cascades in Complex Systems, Mar 27-29, 2017, Berlin, Germany}, abstract = {Recent advances in high-resolution, cloud resolving simulation models pose several challenges towards respective analysis methodologies. To enable efficient comparison and validation of such models efficient, scalable, and informative diagnostic procedures are mandatory. In this talk, an object-based evaluation scheme based on the notion of scalar field topology will be presented. The presentation will cover the application of topological clustering procedures for object identification, tracking, and the retrieval of object-based statistics. The pro-posed methodology is shown to enable an advanced in-depth evaluation and visualization of high cloud-resolving models. Using a newly developed large-scale high-resolution model (i.e., HD(CP)2 ICON), it will be demonstrated that the presented procedures are applicable to assess the model performance compared to measurements (e.g., radar, satellite) and standard operational models (COSMO) at different domains and spatial scales.}, language = {en} } @misc{PolthierSullivanZiegleretal., author = {Polthier, Konrad and Sullivan, John and Ziegler, G{\"u}nter M. and Hege, Hans-Christian}, title = {Visualization}, series = {MATHEON - Mathematics for Key Technologies}, 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}, language = {en} } @misc{LameckerHegeTabelowetal., author = {Lamecker, Hans and Hege, Hans-Christian and Tabelow, Karsten and Polzehl, J{\"o}rg}, title = {Image Processing}, series = {MATHEON - Mathematics for Key Technologies}, journal = {MATHEON - Mathematics for Key Technologies}, editor = {Deuflhard, Peter and et al.,}, publisher = {European Mathematical Society}, doi = {10.4171/137}, pages = {359 -- 376}, language = {en} } @article{KramerNoackBaumetal., author = {Kramer, Tobias and Noack, Matthias and Baum, Daniel and Hege, Hans-Christian and Heller, Eric J.}, title = {Dust and gas emission from cometary nuclei: the case of comet 67P/Churyumov-Gerasimenko}, series = {Advances in Physics: X}, volume = {3}, journal = {Advances in Physics: X}, number = {1}, doi = {10.1080/23746149.2017.1404436}, pages = {1404436}, abstract = {Comets display with decreasing solar distance an increased emission of gas and dust particles, leading to the formation of the coma and tail. Spacecraft missions provide insight in the temporal and spatial variations of the dust and gas sources located on the cometary nucleus. For the case of comet 67P/Churyumov-Gerasimenko (67P/C-G), the long-term obser- vations from the Rosetta mission point to a homogeneous dust emission across the entire illuminated surface. Despite the homogeneous initial dis- tribution, a collimation in jet-like structures becomes visible. We propose that this observation is linked directly to the complex shape of the nucleus and projects concave topographical features into the dust coma. To test this hypothesis, we put forward a gas-dust description of 67P/C-G, where gravitational and gas forces are accurately determined from the surface mesh and the rotation of the nucleus is fully incorporated. The emerging jet-like structures persist for a wide range of gas-dust interactions and show a dust velocity dependent bending.}, language = {en} } @inproceedings{SakuraiHegeKuhnetal., author = {Sakurai, Daisuke and Hege, Hans-Christian and Kuhn, Alexander and Rust, Henning and Kern, Bastian and Breitkopf, Tom-Lukas}, title = {An Application-Oriented Framework for Feature Tracking in Atmospheric Sciences}, series = {Proceedings of 2017 IEEE 7th Symposium on Large Data Analysis and Visualization (LDAV)}, booktitle = {Proceedings of 2017 IEEE 7th Symposium on Large Data Analysis and Visualization (LDAV)}, doi = {10.1109/LDAV.2017.8231857}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-66685}, pages = {96 -- 97}, abstract = {In atmospheric sciences, sizes of data sets grow continuously due to increasing resolutions. A central task is the comparison of spatiotemporal fields, to assess different simulations and to compare simulations with observations. A significant information reduction is possible by focusing on geometric-topological features of the fields or on derived meteorological objects. Due to the huge size of the data sets, spatial features have to be extracted in time slices and traced over time. Fields with chaotic component, i.e. without 1:1 spatiotemporal correspondences, can be compared by looking upon statistics of feature properties. Feature extraction, however, requires a clear mathematical definition of the features - which many meteorological objects still lack. Traditionally, object extractions are often heuristic, defined only by implemented algorithms, and thus are not comparable. This work surveys our framework designed for efficient development of feature tracking methods and for testing new feature definitions. The framework supports well-established visualization practices and is being used by atmospheric researchers to diagnose and compare data.}, language = {en} }