Ohser / Schladitz 3D Images of Materials Structures

Processing and Analysis
1. Auflage 2009
ISBN: 978-3-527-62831-5
Verlag: Wiley-VCH
Format: PDF
Kopierschutz: Adobe DRM (»Systemvoraussetzungen)

E-Book, Englisch, 325 Seiten, E-Book

Taking and analyzing images of materials' microstructures is essential for quality control, choice and design of all kind of products. Today, the standard method still is to analyze 2D microscopy images. But, insight into the 3D geometry of the microstructure of materials and measuring its characteristics become more and more prerequisites in order to choose and design advanced materials according to desired product properties.

This first book on processing and analysis of 3D images of materials structures describes how to develop and apply efficient and versatile tools for geometric analysis and contains a detailed description of the basics of 3d image analysis.

Autoren/Hrsg.

Ohser, Joachim

Schladitz, Katja

Inhaltsverzeichnis

PERFACE

INTRODUCTION

PRELIMINARIES

General Notation

Characteristics of Sets

Random Sets

Fourier Analysis

LATTICES, ADJACENCY OF LATTICE POINTS, AND IMAGES

Introduction

Point Lattices, Digitizations and Pixel Configurations

Adjacency and Euler Number

The Euler Number of Microstructure Constituents

Image Data

Rendering

IMAGE PROCESSING

Fourier Transform of an Image

Filtering

Segmentation

MEASUREMENT OF INTRINSIC VOLUMES AND RELATED QUANTITIES

Introduction

Intrinsic Volumes

Intrinsic Volume Densities

Directional Analysis

Distances Between Random Sets and Distance Distributions

SPECTRAL ANALYSIS

Introduction

Second-Order Characteristics of a Random Volume Measure

Correlations Between Random Structures

Second-Order Characteristics of Random Surfaces

Second-Order Characteristics of Random Point Fields

MODEL-BASED IMAGE ALANYSIS

Introduction,Motivation

Point Field Models

MacroscopicallyHomogeneous Systems of Non-overlapping Particles

Macroscopically Homogeneous Systems of Overlapping Particles

Macroscopically Homogeneous Fibre Systems

Tessellations

SIMULATION OF MATERIAL PROPERTIES

Introduction

Effective Conductivity of Polycrystals by StochasticHomogenization

Computation of Effective Elastic Moduli of Porous Media by FEM Simulation

REFERENCES

INDEX

Über Autor(innen)

Dr. Katja Schladitz is with Fraunhofer-Institut für Techno- und Wirtschaftsmathematik in Kaiserslautern, Germany, where she coordinates the group working on analysis of 3D images and modelling of microstructures within the image processing department. She has been involved in a number of industrial and academic projects. Her research focuses on application of methods from stochastic geometry to image analysis and modelling materials microstructures.

 

Professor Joachim Ohser holds a Chair at University of Applied Sciences, Darmstadt, Germany, where he is teaching in the field of image processing. He has long experience with characterization and geometric modelling of microstructures. Since 1999 he heads the working group on quantitative microstructural analysis of the German Materials Society (DGM). His research focuses on stochastic and discrete geometry, image analysis and simulation of materials properties.