Here, we present examples which are analyzed in our 2D online tool morphometer. The structure Analysis of Point patterns and Disk packings is performed by analyzing the Voronoi or Delaunay tessellation of the configuration. To view an example, click on an image below.
Point Patterns
Granular crystal cluster
Hexagonal order in disk packings detected with the irreducible Minkowski index 
of the Voronoi tessellation of the packing.
Quasicrystal
Minkowski structure metrics of higher rank used to detect order and classify structural motifs in a decagonal quasicrystal in 2D.
Point processes
Point processes can be easily analyzed using irreducible Minkowski Tensors. The morphometer has various example point processes implemented.
Image analysis
Gaussian random field
Analysis of gray-scale images by isocontours constructed with the interpolated marching squares algorithm.
Astronomical data
Analysis of gray-scale astronomical images by isocontours constructed with the interpolated marching squares algorithm.
Single Polygons
In the single polygon mode, different shapes can be analyzed with various shape descriptors based on Minkowski tensors.
More examples and details where Minkowski tensors are used in the literature are presented in the References section.