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Table 1 Main morphological descriptors and their properties

From: Statistical methods for mechanical characterization of randomly reinforced media

Function Order Measure Material Sample dimensions
Indicator function Lower Presence of phase Any random media 2D and 3D
Correlation function Higher Spatial correlation Any random media 2D and 3D
Surface correlation functions Higher Interfaces distribution Any random media 2D and 3D
Pore size distribution function Lower Level of porosity Porous media Only 3D
Cluster function Higher Particles clustering Any random media Only 3D
Lineal path function Lower Connectedness of microstructure Any random media 2D and 3D
Chord length distribution function Lower Connectedness of microstructure and particles shape Any random media 2D and 3D
Nearest neighbor functions Lower Particles distribution Particle-reinforced media 2D and 3D
Orientation distribution function Lower Grain orientation, macroscopic texture Polycrystals Only 3D
Misorientation distribution function Lower Orientation of local arrangement of grains Polycrystals Only 3D
Micro-texture function Lower Amount of clustering of orientations and misorientations Polycrystals Only 3D