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3D images of materials structures [[electronic resource] ] : processing and analysis / / Joachim Ohser and Katja Schladitz
| 3D images of materials structures [[electronic resource] ] : processing and analysis / / Joachim Ohser and Katja Schladitz |
| Autore | Ohser Joachim |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2009 |
| Descrizione fisica | 1 online resource (343 p.) |
| Disciplina |
541.22
620.1129902856693 |
| Altri autori (Persone) | SchladitzKatja |
| Soggetto topico |
Microstructure
Materials science Three-dimensional imaging Image processing - Digital techniques Image analysis |
| ISBN |
1-282-30254-X
9786612302541 3-527-62830-4 3-527-62831-2 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
3D 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
2.3.2 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 3.4 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 4.2.4 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 5.2.5 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 5.4.3 Gradient and Hessian Matrix |
| Record Nr. | UNINA-9910139486503321 |
Ohser Joachim
|
||
| Weinheim, : Wiley-VCH, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
3D images of materials structures [[electronic resource] ] : processing and analysis / / Joachim Ohser and Katja Schladitz
| 3D images of materials structures [[electronic resource] ] : processing and analysis / / Joachim Ohser and Katja Schladitz |
| Autore | Ohser Joachim |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2009 |
| Descrizione fisica | 1 online resource (343 p.) |
| Disciplina |
541.22
620.1129902856693 |
| Altri autori (Persone) | SchladitzKatja |
| Soggetto topico |
Microstructure
Materials science Three-dimensional imaging Image processing - Digital techniques Image analysis |
| ISBN |
1-282-30254-X
9786612302541 3-527-62830-4 3-527-62831-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
3D 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
2.3.2 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 3.4 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 4.2.4 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 5.2.5 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 5.4.3 Gradient and Hessian Matrix |
| Record Nr. | UNINA-9910830690203321 |
|
Ohser Joachim
|
||
| Weinheim, : Wiley-VCH, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
3D images of materials structures : processing and analysis / / Joachim Ohser and Katja Schladitz
| 3D images of materials structures : processing and analysis / / Joachim Ohser and Katja Schladitz |
| Autore | Ohser Joachim |
| Pubbl/distr/stampa | Weinheim, : Wiley-VCH, c2009 |
| Descrizione fisica | 1 online resource (343 p.) |
| Disciplina |
541.22
620.1129902856693 |
| Altri autori (Persone) | SchladitzKatja |
| Soggetto topico |
Microstructure
Materials science Three-dimensional imaging Image processing - Digital techniques Image analysis |
| ISBN |
1-282-30254-X
9786612302541 3-527-62830-4 3-527-62831-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
3D 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
2.3.2 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 3.4 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 4.2.4 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 5.2.5 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 5.4.3 Gradient and Hessian Matrix |
| Record Nr. | UNINA-9910877340703321 |
|
Ohser Joachim
|
||
| Weinheim, : Wiley-VCH, c2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||