## Stereological Methods: Theoretical foundations |

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A-weighted angle anisotropy areal density average barrier thickness boundary length Buffon's needle coefficients consider convex particles count Cruz-Orive cube curve cylinder defined derived ellipse ellipsoids equation estimate evidently formula frequency Gaussian curvature geometric probability h(dS harmonic mean hence histogram hits integral intercept length isotropic length density matrix mean curvature mean tangent diameter measured needles normal number of intersections number of profiles numerical density object oblate oblate spheroids obtained orientation distribution orthogonal orthogonal complement parallel parameter planar plane section Pr(T preferred orientation probability density function probability measure procedure profile area profile size distribution projected area prolate prolate spheroids radius random plane random section ratio respect S(dS Saltykov sample section plane section thickness set theory shape slice spatial specimen spheroids stereological methods stereological principles structure surface density surface elements test line values volume density Wicksell z-axis