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Technical Stochastic Geometry: Selected Topics

Posted on 2010-05-31




Name:Technical Stochastic Geometry: Selected Topics
ASIN/ISBN:1402081022
Publisher:Springer 2004
Publish Date:1402081022
Pages:221 Pages
File size:3 Mb
Publisher: Springer 2004
Pages: 221 Pages
ISBN: 1402081022
File Size: 3 MB
Other Info: DJVU
   Technical Stochastic Geometry: Selected Topics

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Stochastic Geometry: Selected Topics By Viktor Benes, Jan Rataj

Stochastic geometry, based on current developments in geometry, probability and measure theory, makes possible modeling of two- and three-dimensional random objects with interactions as they appear in the microstructure of materials, biological tissues, macroscopically in soil, geological sediments etc. In combination with spatial statistics it is used for the solution of practical problems such as the description of spatial arrangements and the estimation of object characteristics. A related field is stereology, which makes possible inference on the structures, based on lower-dimensional observations. Unfolding problems for particle systems and extremes of particle characteristics are studied. The reader can learn about current developments in stochastic geometry with mathematical rigor on one hand and find applications to real microstructure analysis in natural and material sciences on the other hand. Audience: This volume is suitable for scientists in mathematics, statistics, natural sciences, physics, engineering (materials), microscopy and image analysis, as well as postgraduate students in probability and statistics.

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