Computation of the M-tortuosity estimator: a scalable topological descriptor providing a 3D map of mean tortuosities, a set of M-coefficients, of which the histogram is meaningful, and a final scalar value, the M-scalar, assessing the geometric tortuosity of the overall microstructure. This descirptor is based on a Monte Carlo process, handles disconnections and, is applicable on complex multi-scale microstructures.
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