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TitleGeometrical Probability and Biological Structures: Buffon's 200th Anniversary [electronic resource] : 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 / edited by Roger E. Miles, Jean Serra
ImprintBerlin, Heidelberg : Springer Berlin Heidelberg, 1978
Connect tohttp://dx.doi.org/10.1007/978-3-642-93089-8
Descript XII, 340 p. online resource

CONTENT

Opening Speech -- Discours inauguratif -- Historical -- En matiรจre 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 sphรฉriques -- Etude morphologique des fibres conjonctives sur biopsies ou piรจces opรฉratoires -- Stereological and topological analysis of cirrhotic livers as a linkage of regenerative nodules multiply connected in the form of three-dimensional network -- Mรฉthode d'รฉtude 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) -- โ{128}{156}One, two, three,... infinityโ{128}{157} -- 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 รฉrosions infinitรฉsimales, et les mesures de surface -- Geometrical Probability -- Needles and wedges as tools for integration -- Random processes of linear segments and graphs -- Statistics of stationary 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


Mathematics Applied mathematics Engineering mathematics Mathematics Applications of Mathematics



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