Description
Book SynopsisThis text shows how stochastic geometry can be applied to real structural problems in materials science and technology. It pays particular attention to describing spatial sizes and shapes of grains and particles, developments in stochastic geometry, and relevant computer simulation techniques.
Trade Review"...provides many examples...comprehensive discussions...an introduction to the analysis of two-dimensional and three-dimensional microscopic images...references are comprehensive..." (Short Book Reviews, Vol. 21, No. 2, August 2001)
"There is no book I know in our own field that deals with the subject in anything like the depth and breadth as this one does." (European Journal of Soil Science, No. 52 2001)
"It can be expected that this unusually careful work will soon be acknowledged as an authoritative treatment, and certainly it will remain a major reference of applied stereology in the next two decades at least. Scientific and technical libraries should have multiple copies available." (Ceramics, Vol.45 No.3, 2001)
"...an ideal textbook for a one-semester course...also an excellent reference book..." (Technometrics, February 2002)
Table of ContentsDedication to Günter Bach.
Preface.
Series Preface.
Acknowledgements.
List of Notation.
List of Source Codes.
Introduction.
Methodological Tools.
Statistical Estimation of Basic Characteristics.
Basic Characteristics and Digitalization.
Covariance and Spectral Density.
Size Distribution of Spherical Particles.
Nonspherical Particles of Constant Shape.
Size-Shape Distribution of Particles.
Arrangement of Objects.
Single-Phase Polyhedral Microstructures.
Appendix A: Characteristics of Geometric Objects.
Appendix B: Software Utilities.
References.
Index.
