Morphological analysis of 3d atom probe data using Minkowski functionals

Morphological analysis of 3d atom probe data using Minkowski functionals

Morphological analysis of 3d atom probe data using Minkowski functionals 150 150 UKAEA Opendata
UKAEA-CCFE-PR(20)06

Morphological analysis of 3d atom probe data using Minkowski functionals

We present a morphological analysis of atom probe data of nanoscale microstructural features, using methods developed by the astrophysics community to describe the shape of superclusters of galaxies. We describe second-phase regions using Minkowski functionals, representing the regions’ volume, surface area, mean curvature and Euler characteristic. The alloy data in this work show microstructures that can be described as sponge-like, filament-like, plate-like, and sphere-like at different concentration levels, and we find quantitative measurements of these features. To reduce user decision-making in constructing isosurfaces and to enhance the accuracy of the analysis a maximum likelihood based denoising filter was developed. We show that this filter performs significantly better than a simple Gaussian smoothing filter. We also interpolate the data using natural cubic splines, to refine voxel sizes and to refine the surface. We demonstrate that it is possible to find a mathematically well-defined, quantitative description of microstructure from atomistic datasets, to sub-voxel resolution, without user-tuneable parameters.

Collection:
Journals
Journal:
Ultramicroscopy
Publisher:
Elsevier
Published date:
04/01/2020