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

Published: 22 June 2026| Version 1 | DOI: 10.17632/34h8ygpyvb.1
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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.

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