Geometrical Probability and Biological Structures: Buffon’s 200th Anniversary : Proceedings of the Buffon Bicentenary Symposium on Geometrical Probability, Image Analysis, Mathematical Stereology, and Their Relevance to the Determination of Biological Str

Front Matter....Pages N2-XII Opening Speech....Pages 1-2 En Matiere D’Introduction.......Pages 3-28 Buffon and Mathematics....Pages 29-35 The Stereological Analysis of Two-Phase Particles....Pages 37-48 On the Distance Between Points in Polygons....Pages 49-69 Analyse D’Une Population de Cellules Spheriques....Pages 71-75 Etude Morphologique des Fibres Conjonctives sur Biopsies ou Pieces Operatoires....Pages 77-84 Stereological and Topological Analysis of Cirrhotic Livers as a Linkage of Regenerative Nodules Multiply Connected in the Form of Three-Dimensional Network....Pages 85-92 Methode D’Etude des Espaces Intercellulaires de la Granulosa des Follicules Ovariens de Ratte Adulte Cyclique....Pages 93-97 Stereological Uses of the Area Tangent Count....Pages 99-113 The importance of proper model specification in stereology....Pages 115-136 “One, Two, Three,... Infinity”....Pages 137-152 The Foundation of Computational Geometry: Theory and Application of the Point-Lattice-Concept within Modern Structure Analysis....Pages 153-170 The Non-Statistical Nature of Biological Structure and Its Implications on Sampling for Stereology....Pages 171-179 The non-statistical nature of biological structure and its implications in sampling for stereology of liver tissue....Pages 181-184 Sampling Problems in the Kidney....Pages 185-191 Clustering and Layering of Neurons in the Central Nervous System....Pages 193-201 Anisotropy and Distance from the Centre. Probabilistic Models and Statistical Analysis....Pages 203-213 Characteristic Statistical Problems of Stochastic Geometry....Pages 215-234 The Fractal Geometry of Trees and Other Natural Phenomena....Pages 235-249 The Infinitisimal Erosions....Pages 251-269 Needles and Wedges as Tools for Integration....Pages 271-278 Random Processes of Linear Segments and Graphs....Pages 279-294 Statistics of Stationary Oriented Line Poisson Processes in the Plane....Pages 295-299 Automated Cytology....Pages 301-309 Random Processes Simulations on the Texture Analyser....Pages 311-321 Computation of the Histograms of the Number of Edges and Neighbours of Cells in a Tessellation....Pages 323-329 An Indirect Method for Counting Particles in 3-d and 2-d Spaces....Pages 331-338