@misc{KastenReininghausHotzetal., author = {Kasten, Jens and Reininghaus, Jan and Hotz, Ingrid and Hege, Hans-Christian and Noack, Bernd and Daviller, Guillaume and Morzyński, Marek}, title = {Acceleration feature points of unsteady shear flows}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-58397}, abstract = {A framework is proposed for extracting features in 2D transient flows, based on the acceleration field to ensure Galilean invariance. The minima of the acceleration magnitude, i.e. a superset of the acceleration zeros, are extracted and discriminated into vortices and saddle points --- based on the spectral properties of the velocity Jacobian. The extraction of topological features is performed with purely combinatorial algorithms from discrete computational topology. The feature points are prioritized with persistence, as a physically meaningful importance measure. These features are tracked in time with a robust algorithm for tracking features. Thus a space-time hierarchy of the minima is built and vortex merging events are detected. The acceleration feature extraction strategy is applied to three two-dimensional shear flows: (1) an incompressible periodic cylinder wake, (2) an incompressible planar mixing layer and (3) a weakly compressible planar jet. The vortex-like acceleration feature points are shown to be well aligned with acceleration zeros, maxima of the vorticity magnitude, minima of pressure field and minima of λ2.}, language = {en} } @misc{SieberKuhnHegeetal., author = {Sieber, Moritz and Kuhn, Alexander and Hege, Hans-Christian and Paschereit, C. Oliver and Oberleithner, Kilian}, title = {A Graphical Representation of the Spectral Proper Orthogonal Decomposition}, series = {68th Annual Meeting of the APS Division of Fluid Dynamics, Gallery of Fluid Motion, Nov 22-24, 2015, Boston, MA, USA.}, journal = {68th Annual Meeting of the APS Division of Fluid Dynamics, Gallery of Fluid Motion, Nov 22-24, 2015, Boston, MA, USA.}, abstract = {We consider the spectral proper orthogonal decomposition (SPOD) for experimental data of a turbulent swirling jet. This newly introduced method combines the advantages of spectral methods, such as Fourier decomposition or dynamic mode decomposition, with the energy-ranked proper orthogonal decomposition (POD). This poster visualizes how the modal energy spectrum transitions from the spectral purity of Fourier space to the sparsity of POD space. The transition is achieved by changing a single parameter - the width of the SPOD filter. Each dot in the 3D space corresponds to an SPOD mode pair, where the size and color indicates its spectral coherence. What we notice is that neither the Fourier nor the POD spectrum achieves a clear separation of the dynamic phenomena. Scanning through the graph from the front plane (Fourier) to the back plane (POD), we observe how three highly coherent SPOD modes emerge from the dispersed Fourier spectrum and later branch out into numerous POD modes. The spatial properties of these three individual SPOD modes are displayed in the back of the graph using line integral convolution colored by vorticity. The first two modes correspond to single-helical global instabilities that are well known for these flows. Their coexistence, however, has not been observed until now. The third mode is of double- helical shape and has not been observed so far. For this considered data set and many others, the SPOD is superior in identification of coherent structures in turbulent flows. Hopefully, it gives access to new fluid dynamic phenomena and enriches the available methods.}, language = {en} } @inproceedings{JacomeEggelerPoethkowetal., author = {J{\´a}come, Leonardo Agudo and Eggeler, Gunter and P{\"o}thkow, Kai and Paetsch, Olaf and Hege, Hans-Christian}, title = {Three-Dimensional Characterization of Superdislocation Interactions in the High Temperature and Low Stress Creep Regime of Ni-Base Superalloy Single Crystals}, series = {Proceedings of CREEP 2015 - 13th International Conference on Creep and Fracture of Engineering Materials and Structures, May 31 - June 4, 2015, Toulouse, France}, booktitle = {Proceedings of CREEP 2015 - 13th International Conference on Creep and Fracture of Engineering Materials and Structures, May 31 - June 4, 2015, Toulouse, France}, pages = {16 -- 17}, abstract = {Monocrystaline Ni-base superalloys are the material of choice for first row blades in jet engine gas turbines. Using a novel visualization tool for 3D reconstruction and visualization of dislocation line segments from stereo-pairs of scanning transmission electron microscopies, the superdislocation substructures in Ni-base superalloy LEK 94 (crept to ε = 26\%) are characterized. Probable scenarios are discussed, how these dislocation substructures form.}, language = {en} } @misc{BojarovskiHegeLieetal., author = {Bojarovski, Stefan and Hege, Hans-Christian and Lie, Han Cheng and Weber, Marcus}, title = {Topological analysis and visualization of scalar functions characterizing conformational transitions of molecules on multiple time-scales}, series = {Shape Up 2015 - Exercises in Materials Geometry and Topology, 14-18 Sept. 2015, Berlin, Germany}, journal = {Shape Up 2015 - Exercises in Materials Geometry and Topology, 14-18 Sept. 2015, Berlin, Germany}, abstract = {Molecular processes such as protein folding or ligand-receptor-binding can be understood by analyzing the free energy landscape. Those processes are often metastable, i.e. the molecular systems remain in basins around local minima of the free energy landscape, and in rare cases undergo gauche transitions between metastable states by passing saddle-points of this landscape. By discretizing the configuration space, this can be modeled as a discrete Markov process. One way to compute the transition rates between conformations of a molecular system is by utilizing Transition Path Theory and the concept of committor functions. A fundamental problem from the computational point of view is that many time-scales are involved, ranging from 10^(-14) sec for the fastest motion to 10^(-6) sec or more for conformation changes that cause biological effects. The goal of our work is to provide a better understanding of such transitions in configuration space on various time-scales by analyzing characteristic scalar functions topologically and geometrically. We are developing suitable visualization and interaction techniques to support our analysis. For example, we are analyzing a transition rate indicator function by computing and visualizing its Reeb graph together with the sets of molecular states corresponding to maxima of the transition rate indicator function. A particular challenge is the high dimensionality of the domain which does not allow for a straightforward visualization of the function. The computational topology approach to the analysis of the transition rate indicator functions for a molecular system allows to explore different time scales of the system by utilizing coarser or finer topological partitioning of the function. A specific goal is the development of tools for analyzing the hierarchy of these partitionings. This approach tackles the analysis of a complex and sparse dataset from a different angle than the well-known spectral analysis of Markov State Models.}, language = {en} } @misc{HoerthBaumKnoeteletal., author = {Hoerth, Rebecca M. and Baum, Daniel and Kn{\"o}tel, David and Prohaska, Steffen and Willie, Bettina M. and Duda, Georg and Hege, Hans-Christian and Fratzl, Peter and Wagermaier, Wolfgang}, title = {Registering 2D and 3D Imaging Data of Bone during Healing}, issn = {1438-0064}, url = {http://nbn-resolving.de/urn:nbn:de:0297-zib-53426}, abstract = {Purpose/Aims of the Study: Bone's hierarchical structure can be visualized using a variety of methods. Many techniques, such as light and electron microscopy generate two-dimensional (2D) images, while micro computed tomography (μCT) allows a direct representation of the three-dimensional (3D) structure. In addition, different methods provide complementary structural information, such as the arrangement of organic or inorganic compounds. The overall aim of the present study is to answer bone research questions by linking information of different 2D and 3D imaging techniques. A great challenge in combining different methods arises from the fact that they usually reflect different characteristics of the real structure. Materials and Methods: We investigated bone during healing by means of μCT and a couple of 2D methods. Backscattered electron images were used to qualitatively evaluate the tissue's calcium content and served as a position map for other experimental data. Nanoindentation and X-ray scattering experiments were performed to visualize mechanical and structural properties. Results: We present an approach for the registration of 2D data in a 3D μCT reference frame, where scanning electron microscopies serve as a methodic link. Backscattered electron images are perfectly suited for registration into μCT reference frames, since both show structures based on the same physical principles. We introduce specific registration tools that have been developed to perform the registration process in a semi-automatic way. Conclusions: By applying this routine, we were able to exactly locate structural information (e.g. mineral particle properties) in the 3D bone volume. In bone healing studies this will help to better understand basic formation, remodeling and mineralization processes.}, language = {en} } @article{WilliePapPerkaetal., author = {Willie, Bettina M. and Pap, Thomas and Perka, Carsten and Schmidt, Carsten Oliver and Eckstein, Felix and Arampatzis, Adamantios and Hege, Hans-Christian and Madry, Henning and Vortkamp, Andrea and Duda, Georg}, title = {OVERLOAD - Rolle der Gelenk{\"u}berlastung in der prim{\"a}ren Arthrose - Die Krankheitsprogression verstehen und vermeiden}, series = {Zeitschrift f{\"u}r Rheumatologie}, volume = {74}, journal = {Zeitschrift f{\"u}r Rheumatologie}, doi = {10.1007/s00393-014-1561-2}, pages = {618 -- 621}, abstract = {Intakte Gelenke sind eine Voraussetzung f{\"u}r das Funktionieren des Skeletts und die Mobilit{\"a}t im Lebensalltag. Ein gesunder Bewegungsapparat ist die Grundlage f{\"u}r die Funktionsf{\"a}higkeit des Herz-Kreislauf-Systems wie auch der Immunabwehr. Bewegungs- und Physiotherapie sowie verschiedene Formen der Patientenaktivit{\"a}t stellen essenzielle klinische Ans{\"a}tze in der Behandlung von neurodegenerativen Erkrankungen, Schlaganfall, Diabetes und Krebs dar. Kommt es zu degenerativen Ver{\"a}nderungen von Gelenken, bedeutet dies eine wesentliche Beeintr{\"a}chtigung der Mobilit{\"a}t. N{\"a}chtliche Schmerzen und Schlafst{\"o}rungen treten in fortgeschrittenen Stadien auf und sind besonders belastend. Arthrose wird auch als degenerative Gelenkerkrankung bezeichnet. Sie geht mit Ver{\"a}nderungen in der Struktur und Zusammensetzung des Gelenkknorpels wie auch des verkalkten Knorpels, der subchondralen Kortikalis, der subchondralen Spongiosa, des Meniskus, der Gelenkkapsel und der Synovialis einher, was schließlich zur Degeneration dieser Gewebe f{\"u}hrt, aus denen sich die Synovialgelenke zusammensetzen.}, language = {de} } @article{WilliePapPerkaetal., author = {Willie, Bettina M. and Pap, Thomas and Perka, Carsten and Schmidt, Carsten Oliver and Eckstein, Felix and Arampatzis, Adamantios and Hege, Hans-Christian and Madry, Henning and Vortkamp, Andrea and Duda, Georg}, title = {OVERLOAD of joints and its role in osteoarthritis - Towards understanding and preventing progression of primary osteoarthritis}, series = {Zeitschrift f{\"u}r Rheumatologie}, volume = {76}, journal = {Zeitschrift f{\"u}r Rheumatologie}, number = {Suppl. 1}, doi = {10.1007/s00393-014-1561-2}, pages = {1 -- 4}, abstract = {Intact joints are necessary for skeletal function and mobility in daily life. A healthy musculoskeletal system is the basis for a functional cardiovascular system as well as an intact immune system. Locomotion, physiotherapy, and various forms of patient activity are essential clinical therapies used in the treatment of neurodegeneration, stroke, diabetes, and cancer. Mobility is substantially impaired with degeneration of joints and, in advanced stages, nighttime pain and sleep disturbance are particularly cumbersome. Osteoarthritis (OA) is also known as degenerative joint disease. OA involves structural and compositional changes in the articular cartilage, as well as in the calcified cartilage, subchondral cortical bone, subchondral cancellous bone, meniscus, joint capsular tissue, and synovium; which eventually lead to degeneration of these tissues comprising synovial joints.}, language = {en} }