Miles / Serra 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 Structures, Held in Paris, June 1977
1978
ISBN: 978-3-642-93089-8
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 23, 340 Seiten, eBook

Reihe: Lecture Notes in Biomathematics

Zielgruppe

Research

Autoren/Hrsg.

Miles, R. E.

Serra, J.

Inhaltsverzeichnis

Opening Speech.- Discours inauguratif.- Historical.- En matière d’introduction.- Buffon and mathematics.- Geometrical Probability (Applied).- The stereological analysis of two-phase particles.- On the distance between points in polygons.- Biological Problems.- Analyse d’une population de cellules sphériques.- Etude morphologique des fibres conjonctives sur biopsies ou pièces opératoires.- Stereological and topological analysis of cirrhotic livers as a linkage of regenerative nodules multiply connected in the form of three-dimensional network.- Méthode d’étude des espaces intercellulaires de la granulosa des follicules ovariens de ratte adulte cyclique.- Mathematical Stereology.- Stereological uses of the area tangent count.- The importance of proper model specification in stereology.- Mathematical Morphology (General).- “One, two, three,... infinity”.- The foundation of computational geometry: theory and application of the point-lattice-concept within modern structure analysis.- Biological Problems II.- The non-statistical nature of biological structure and its implications on sampling for stereology.- The non-statistical nature of biological structure and its implications in sampling for stereology of liver tissue.- Sampling problems in the kidney.- Clustering and layering of neurons in the central nervous system.- Geometrical Statistics.- Anisotropy and distance from the centre probabilistic models and statistical analysis.- Characteristic statistical problems of stochastic geometry.- Epistemology.- The fractal geometry of trees and other natural phenomena.- Les érosions infinitésimales, et les mesures de surface.- Geometrical Probability.- Needles and wedges as tools for integration.- Random processes of linear segments and graphs.- Statistics ofstationary oriented poisson line processes in the plane.- Mathematical Morphology (Applied).- Automated cytology.- Random processes simulations on texture analyser.- Computation of the histograms of the number of edaes and neighbours of cells in a tessellation.- An indirect method for counting particles in 3-d and 2-d spaces.