Generalized Laguerre Mosaics as versatile toolbox for microstructure modelling

The particle based simulation of minerals processing often requires
models of 3D particles, while only insufficiently resolved 3D
information from CT or sufficiently resolved 2D information on the
structure of the material is available. Fitted and simulated
microstructure models can support us with relevant 3D microstructures.

The contribution proposes several steps to generalize 3D
Laguerre mosaics that allow to recreate various typical features of
microstructures with meaningful parameters to the simulation process:
Multiple phases with different abundance, preferred contacts, different
grain sizes, spatial variation of properties, flattened crystallites,
preferred orientation, flat and rounded boundaries, etc.

A special feature of the model is the possibility to change the parameters
gradually for the same simulation, such that one can track the effect
of the parameters visually and for estimation algorithms with lower
variability than with a resimulation.

The same microstructure can be computed for 3D voxel spaces, in 2D
sections and on MPS type patterns for estimation of high order
statistics.