3D Images of Materials Structures: Processing and Analysis
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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