Ebook: 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 Stru

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Content:
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

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Content:
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
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