Regensburg 2019 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
DY: Fachverband Dynamik und Statistische Physik
DY 50: Poster: Nonlinear Systems, Patterns, Flows ..
DY 50.13: Poster
Donnerstag, 4. April 2019, 15:00–18:00, Poster B2
Minkowski Tensors: Robust and Versatile Shape Descriptors — •Fabian Schaller1,2, Michael Klatt3, and Sebastian Kapfer1 — 1Theoretical Physics, FAU Erlangen-Nürnberg, 91058 Erlangen, Germany — 2Institute of Stochastics, Karlsruhe Institute of Technology (KIT), 76131 Karlsruhe, Germany — 3Department of Physics, Princeton University, Princeton, NJ 08544, USA
Minkowski scalars and tensors are a versatile, sensitive and robust way to quantify shape. Minkowski tensors are explicitly sensitive to anisotropy, relevant for example for elastic moduli or permeability of microstructured materials. Here, we present exemplary applications to real world data and to mathematical models. As examples, we analyze Voronoi and Delaunay tessellations of jammed disk packings and different point patterns. Furthermore we use the Minkowski tensors to analyze objects in gray-scale images. You can explore the possibilities of these shape measures online in our morphometer, an interactive sandbox which will be as well presented at our poster. Further details can be found on our website www.morphometry.org.