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### Contents

CONTENTS | 9 |

INTRODUCTION | 17 |

MODELS OF STRUCTURAL ELEMENTS AND THEIR MEASURES | 24 |

Copyright | |

6 other sections not shown

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### Common terms and phrases

An_l arbitrary boundary compact sets Congress for Stereology Consequently convex bodies convex ring convex sets corresponding Cruz-Orive curves defined denoted described dimension distribution embedded Euclidean Euler-Poincare characteristic EV(Xn examined example feature set finite geometric Grassmann manifold hitting Xn homeomorphic hypersurface improper convex bodies integral geometry internal structure intersection introduced invariant measures IUR probes kinematic density kinematic measure L"n_r L\_r lattice Lebesgue Lebesgue measure linear subspaces manifold mean curvature mean value Microsc Miles R. E. Minkowski addition Minkowski functionals Minkowski sum n-content n-dimensional object obtain particles planar sections plane point set position and orientation problem Proc procedure projection contents properties quantities r-flat F random closed set ratio reference point relation respect rotation sect segments Similarly spatial specimen statistical Stereology Stiefel manifold structural features subsets surface content theorem three-dimensional topological translation unbiased estimator v-weighted V(Xn variance vector Verlag volume weighted sampling Xn n F