Statistical Analysis of Microstructures in Materials Science [Hardcover]

The investigation of the origin and formation of microstructures and the effect that microstructure has on the properties of materials are important issues in materials science and technology. Geometrical analysis is often the key to understanding the formation of microstructures and the resulting material properties. The authors make use of mathematical morphology, spatial statistics, image processing, stereology and stochastic geometry to analyze microstructures arising in materials science.
* Quantitative microstructure analysis is one of the most successful experimental techniques in materials science
* Uses examples to demonstrate the techniques
* Program code included enables the reader to apply the numerous algorithms
* Accessible to material scientists with limited statistical knowledge
Primarily aimed at applied materials scientists, the book will also appeal to those working and researching in earth sciences, material technology, mineralogy, petrography, image analysis, cytology and biology.Dedication to G?nter 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.