Directional and Tensorial Extensions of Fractal, Topological, and Minkowski Functional Analysis for Segmented Multiphase 3D Microstructures

Purpose This folder contains the numerical supplementary tables prepared for the manuscript. The files are intended to make the reported phase-level, cut-response and directional/tensorial calculations transparent without adding large numerical tables to the main article. Source data The source X-ray micro-computed tomography volume and segmented phase volumes used as the benchmark dataset are available from Mendeley Data: https://data.mendeley.com/datasets/b5t3rkn5cg/1 Calculation notes The analysis uses four segmented X-ray-density phases. Calculations are reported in voxel units. Topological and connected-component calculations use fixed 26-connectivity for foreground phases. Normalized values are reported per 1,000,000 phase voxels.