| Preface by the Series Editor | 7 |
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| Foreword | 8 |
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| Acknowledgments | 9 |
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| Abstract | 10 |
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| Contents | 11 |
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| Chapter 1 Introduction | 15 |
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| 1.1 Motivation | 15 |
| 1.1.1 Segmentation of Medical Image Data | 16 |
| 1.1.2 Automation of the Segmentation Task | 18 |
| 1.1.3 Segmentation Accuracy | 19 |
| 1.2 Scope of this Thesis | 19 |
| 1.2.1 Automated Segmentation with Deformable Models | 19 |
| 1.2.2 Selection of Anatomical Structures and Imaging Modalities | 23 |
| 1.2.3 Contribution | 23 |
| 1.2.4 Topics Not Discussed | 25 |
| 1.3 Structure of this Thesis | 26 |
| Part I The Segmentation Framework | 28 |
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| Chapter 2 Basic Terms and Notation | 29 |
| 2.1 Images, Segmentations, and Surface Meshes | 30 |
| 2.1.1 Three-dimensional Medical Images | 30 |
| 2.1.2 Segmentations of Three-dimensional Medical Images | 30 |
| 2.1.3 Triangle Surface Meshes | 31 |
| 2.1.4 From Segmentations to Surface Meshes and Back | 33 |
| 2.2 Deformable Surface Meshes | 33 |
| 2.2.1 Displacement Fields and Sets of Candidate Displacements | 34 |
| 2.2.2 Appearance Cost | 34 |
| Chapter 3 Deformable Meshes for Automatic Segmentation | 36 |
| 3.1 Statistical Shape Models (SSMs) for Segmentation | 38 |
| 3.1.1 Generation of SSMs | 39 |
| 3.1.2 Prerequisites: Shape Correspondences and Alignment | 40 |
| 3.1.3 Image Segmentation via SSM Deformation | 41 |
| 3.1.4 Initial Shape Detection | 43 |
| 3.1.5 Lack of Image Features: SSMs for Extrapolation | 44 |
| 3.2 A Simple Heuristic Appearance Model | 45 |
| 3.2.1 Appearance Cost Function | 45 |
| 3.2.2 Intensity Parameter Estimation | 46 |
| 3.3 Local Search for Appearance Match | 46 |
| 3.3.1 Unidirectional Displacements | 46 |
| 3.3.2 Optimal Displacement Fields | 47 |
| 3.3.3 Intensity Profiles | 48 |
| 3.4 Shape-constrained Free Mesh Deformations | 48 |
| 3.4.1 Free Deformation within a Narrow Band | 50 |
| 3.4.2 Free Deformation with Bounded Displacement Differences | 51 |
| 3.5 Simultaneous Free Deformations of Multiple Meshes | 54 |
| 3.5.1 Multi-object Graph-based Deformation of Coupled Meshes | 55 |
| 3.5.2 Coupling Adjacent Surface Meshes | 56 |
| 3.6 Conclusion | 60 |
| Chapter 4 Omnidirectional Displacements for Deformable Surfaces (ODDS) | 61 |
| 4.1 The Visibility Problem | 62 |
| 4.2 ODDS: Free Mesh Deformations with All-around Visibility | 63 |
| 4.2.
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