TY - JOUR A1 - Kasten, Jens A1 - Reininghaus, Jan A1 - Hotz, Ingrid A1 - Hege, Hans-Christian A1 - Noack, Bernd A1 - Daviller, Guillaume A1 - Morzyński, Marek T1 - Acceleration feature points of unsteady shear flows JF - Archives of Mechanics N2 - 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. Y1 - 2016 VL - 68 IS - 1 SP - 55 EP - 80 ER - TY - JOUR A1 - Schöneich, Marc A1 - Stommel, Markus A1 - Kratz, Andrea A1 - Zobel, Valentin A1 - Scheuermann, Gerik A1 - Hotz, Ingrid A1 - Burgeth, Bernhard T1 - Optimization strategy for the design of ribbed plastic components JF - International Journal of Plastics Technology Y1 - 2014 IS - 10 SP - 160 EP - 175 ER - TY - JOUR A1 - Kratz, Andrea A1 - Baum, Daniel A1 - Hotz, Ingrid T1 - Anisotropic Sampling of Planar and Two-Manifold Domains for Texture Generation and Glyph Distribution JF - Transactions on Visualization and Computer Graphics (TVCG) Y1 - 2013 U6 - https://doi.org/10.1109/TVCG.2013.83 VL - 19 SP - 1782 EP - 1794 ER - TY - JOUR A1 - Kratz, Andrea A1 - Auer, Cornelia A1 - Stommel, Markus A1 - Hotz, Ingrid T1 - Visualization and Analysis of Second-Order Tensors: Moving Beyond the Symmetric Positive-Definite Case JF - Computer Graphics Forum - State of the Art Reports Y1 - 2013 U6 - https://doi.org/10.1111/j.1467-8659.2012.03231.x VL - 1 SP - 49 EP - 74 ER - TY - JOUR A1 - Günther, David A1 - Reininghaus, Jan A1 - Wagner, Hubert A1 - Hotz, Ingrid T1 - Efficient Computation of 3D Morse-Smale Complexes and Persistent Homology using Discrete Morse Theory JF - The Visual Computer Y1 - 2012 U6 - https://doi.org/10.1007/s00371-012-0726-8 VL - 28 IS - 10 SP - 959 EP - 969 ER - TY - JOUR A1 - Reininghaus, Jan A1 - Kasten, Jens A1 - Weinkauf, Tino A1 - Hotz, Ingrid T1 - Efficient Computation of Combinatorial Feature Flow Fields JF - Transactions on Visualization and Computer Graphics Y1 - 2012 U6 - https://doi.org/10.1109/TVCG.2011.269 VL - 18 IS - 9 SP - 1563 EP - 1573 ER - TY - JOUR A1 - Hege, Hans-Christian A1 - Kasten, Jens A1 - Hotz, Ingrid T1 - Distillation and Visualization of Spatiotemporal Structures in Turbulent Flow Fields JF - J. Phys. Y1 - 2011 U6 - https://doi.org/10.1088/1742-6596/318/6/062009 VL - 318 SP - 062009 ET - 6 ER - TY - JOUR A1 - Kasten, Jens A1 - Reininghaus, Jan A1 - Hotz, Ingrid A1 - Hege, Hans-Christian T1 - Two-Dimensional Time-Dependent Vortex Regions Based on the Acceleration Magnitude JF - IEEE Transactions on Visualization and Computer Graphics Y1 - 2011 VL - 17 IS - 12 SP - 2080 EP - 2087target ER - TY - JOUR A1 - Reininghaus, Jan A1 - Kotava, N. A1 - Günther, David A1 - Kasten, Jens A1 - Hagen, Hans A1 - Hotz, Ingrid T1 - A Scale Space Based Persistence Measure for Critical Points in 2D Scalar Fields JF - Visualization and Computer Graphics, IEEE Transactions on Y1 - 2011 U6 - https://doi.org/10.1109/TVCG.2011.159 VL - 17 IS - 12 SP - 2045 EP - 2052 ER - TY - JOUR A1 - Günther, David A1 - Reininghaus, Jan A1 - Wagner, Hubert A1 - Hotz, Ingrid T1 - Memory-Efficient Computation of Persistent Homology for 3D Images using Discrete Morse Theory JF - Proc. Sibgrapi – Conference on Graphics, Patterns and Images Y1 - 2011 PB - Kluwer Academic Publishers ER -