LEADER 05550nam 2200709Ia 450 001 9910877340703321 005 20200520144314.0 010 $a1-282-30254-X 010 $a9786612302541 010 $a3-527-62830-4 010 $a3-527-62831-2 035 $a(CKB)2550000000003441 035 $a(EBL)481782 035 $a(OCoLC)654787142 035 $a(SSID)ssj0000333791 035 $a(PQKBManifestationID)11297158 035 $a(PQKBTitleCode)TC0000333791 035 $a(PQKBWorkID)10377792 035 $a(PQKB)11225004 035 $a(MiAaPQ)EBC481782 035 $a(PPN)153598840 035 $a(EXLCZ)992550000000003441 100 $a20050616d2009 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$a3D images of materials structures $eprocessing and analysis /$fJoachim Ohser and Katja Schladitz 210 $aWeinheim $cWiley-VCH$dc2009 215 $a1 online resource (343 p.) 300 $aDescription based upon print version of record. 311 $a3-527-31203-X 320 $aIncludes bibliographical references and index. 327 $a3D Images of Materials Structures; Foreword; Contents; Preface; Conventions and Notation; 1 Introduction; 2 Preliminaries; 2.1 General Notation; 2.1.1 Points and Sets in Euclidean Spaces; 2.1.2 Curvatures; 2.1.3 Measures and Measurable Spaces; 2.2 Characteristics of Sets; 2.2.1 The Euler Number and the Integral of Gaussian Curvature; 2.2.2 The Mean Width and the Integral of the Mean Curvature; 2.2.3 Intrinsic Volumes of Convex Bodies; 2.2.4 Additive Extensions on the Convex Ring; 2.2.5 The Principal Kinematic Formulae of Integral Geometry; 2.3 Random Sets; 2.3.1 Definition of Random Sets 327 $a2.3.2 Characteristics of Random Closed Sets2.3.3 Random Point Fields; 2.3.4 Random Tessellations; 2.4 Fourier Analysis; 2.4.1 Measurable Functions; 2.4.2 Fourier Transform; 2.4.3 Bochner's Theorem; 3 Lattices, Adjacency of Lattice Points, and Images; 3.1 Introduction; 3.2 Point Lattices, Digitizations and Pixel Configurations; 3.2.1 Homogeneous Lattices; 3.2.2 Digitization; 3.2.3 Pixel Configurations; 3.3 Adjacency and Euler Number; 3.3.1 Adjacency Systems; 3.3.2 Discretization of Sets with Respect to Adjacency; 3.3.3 Euler Number; 3.3.4 Complementarity; 3.3.5 Multi-grid Convergence 327 $a3.4 The Euler Number of Microstructure Constituents3.4.1 Counting Nodes in Open Foams; 3.4.2 Connectivity of the Fibres in Non-woven Materials; 3.5 Image Data; 3.5.1 The Inverse Lattice; 3.5.2 The Nyquist--Shannon Sampling Theorem; 3.6 Rendering; 3.6.1 Volume Rendering; 3.6.2 Surface Rendering; 4 Image Processing; 4.1 Fourier Transform of an Image; 4.1.1 The Discrete Fourier Transform of a Discrete One-Dimensional Signal; 4.1.2 Fast Fourier Transform; 4.1.3 Extensions to Higher Dimensions; 4.2 Filtering; 4.2.1 Morphological Transforms of Sets; 4.2.2 Linear Filters; 4.2.3 Morphological Filters 327 $a4.2.4 Rank Value Filters4.2.5 Diffusion Filters; 4.2.6 Geodesic Morphological Transforms; 4.2.7 Distance Transforms; 4.2.8 Skeletonization; 4.3 Segmentation; 4.3.1 Binarization; 4.3.2 Connectedness, Connected Components and Labelling; 4.3.3 Watershed Transform; 4.3.4 Further Segmentation Methods; 5 Measurement of Intrinsic Volumes and Related Quantities; 5.1 Introduction; 5.2 Intrinsic Volumes; 5.2.1 Section Lattices and Translation Lattices; 5.2.2 Measurement of Intrinsic Volumes; 5.2.3 Discretization of the Translative Integral; 5.2.4 Discretization of the Integral over all Subspaces 327 $a5.2.5 Shape Factors5.2.6 Edge Correction; 5.3 Intrinsic Volume Densities; 5.3.1 Estimation of Intrinsic Volume Densities for Macroscopically Homogeneous Random Sets; 5.3.2 Characterization of Anisotropy; 5.3.3 Mean Chord Length; 5.3.4 Structure Model Index; 5.3.5 Estimation of the Intrinsic Volume Densities for Macroscopically Homogeneous and Isotropic Random Sets; 5.3.6 Intrinsic Volume Densities of the Solid Matter of Two Natural Porous Structures; 5.4 Directional Analysis; 5.4.1 Inverse Cosine Transform; 5.4.2 Use of Pixel Configurations Carrying Directional Information 327 $a5.4.3 Gradient and Hessian Matrix 330 $aTaking 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 analys 606 $aMicrostructure 606 $aMaterials science 606 $aThree-dimensional imaging 606 $aImage processing$xDigital techniques 606 $aImage analysis 615 0$aMicrostructure. 615 0$aMaterials science. 615 0$aThree-dimensional imaging. 615 0$aImage processing$xDigital techniques. 615 0$aImage analysis. 676 $a541.22 676 $a620.1129902856693 700 $aOhser$b Joachim$01759656 701 $aSchladitz$b Katja$01759657 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910877340703321 996 $a3D images of materials structures$94198253 997 $aUNINA