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 - GEN A1 - Zobel, Valentin A1 - Reininghaus, Jan A1 - Hotz, Ingrid T1 - Visualization of Two-Dimensional Symmetric Tensor Fields Using the Heat Kernel Signature T2 - Topological Methods in Data Analysis and Visualization III Y1 - 2013 SP - 249 EP - 262 CY - Davis, CA, USA ER - TY - THES A1 - Reininghaus, Jan T1 - Computational discrete Morse theory Y1 - 2012 ER - TY - GEN A1 - Reininghaus, Jan A1 - Günther, David A1 - Hotz, Ingrid A1 - Weinkauf, Tino A1 - Seidel, Hans Peter T1 - Combinatorial Gradient Fields for 2D Images with Empirically Convergent Separatrices Y1 - 2012 UR - http://arxiv.org/abs/1208.6523 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 - GEN A1 - Reininghaus, Jan A1 - Hotz, Ingrid ED - Peikert, Ronald ED - Carr, Hamish ED - Hauser, Helwig T1 - Computational Discrete Morse Theory for Divergence-Free 2D Vector Fields T2 - Topological Methods in Data Analysis and Visualization. Theory, Algorithms, and Applications. (TopoInVis 2011) Y1 - 2012 SP - 3 EP - 14 PB - Springer 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 - GEN A1 - Günther, David A1 - Reininghaus, Jan A1 - Prohaska, Steffen A1 - Weinkauf, Tino A1 - Hege, Hans-Christian ED - Peikert, Ronny ED - Hauser, Helwig ED - Carr, Hamish T1 - Efficient Computation of a Hierarchy of Discrete 3D Gradient Vector Fields T2 - Topological Methods in Data Analysis and Visualization II Y1 - 2012 U6 - https://doi.org/10.1007/978-3-642-23175-9_2 SP - 15 EP - 29 PB - Springer 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 - TY - CHAP A1 - Boyer, Edmond A1 - Bronstein, Alexander A1 - Bronstein, Michael A1 - Bustos, Benjamin A1 - Darom, Tal A1 - Horaud, Radu A1 - Hotz, Ingrid A1 - Keller, Yosi A1 - Keustermans, Johannes A1 - Kovnatsky, Artiom A1 - Litman, Roee A1 - Reininghaus, Jan A1 - Sipiran, Ivan A1 - Smeets, Dirk A1 - Suetens, Paul A1 - Vandermeulen, Dirk A1 - Zaharescu, Andrei A1 - Zobel, Valentin T1 - SHREC 2011: robust feature detection and description benchmark T2 - Proc. Eurographics 2011 Workshop on 3D Object Retrieval (3DOR’11) Y1 - 2011 U6 - https://doi.org/10.2312/3DOR/3DOR11/079-088 target SP - 71 EP - 78 PB - Eurographics Association ER -