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Part II: 3D Shape Descriptors
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Part II: 3D Shape Descriptors
by Mohammed Bennamoun, Robert B. Fisher, Hedi Tabia, Yulan Guo, Hamid Laga
3D Shape Analysis
Cover
Preface
Acknowledgments
1 Introduction
1.1 Motivation
1.2 The 3D Shape Analysis Problem
1.3 About This Book
1.4 Notation
Part I: Foundations
2 Basic Elements of 3D Geometry and Topology
2.1 Elements of Differential Geometry
2.2 Shape, Shape Transformations, and Deformations
2.3 Summary and Further Reading
3 3D Acquisition and Preprocessing
3.1 Introduction
3.2 3D Acquisition
3.3 Preprocessing 3D Models
3.4 Summary and Further Reading
Part II: 3D Shape Descriptors
4 Global Shape Descriptors
4.1 Introduction
4.2 Distribution‐Based Descriptors
4.3 View‐Based 3D Shape Descriptors
4.4 Spherical Function‐Based Descriptors
4.5 Deep Neural Network‐Based 3D Descriptors
4.6 Summary and Further Reading
5 Local Shape Descriptors
5.1 Introduction
5.2 Challenges and Criteria
5.3 3D Keypoint Detection
5.4 Local Feature Description
5.5 Feature Aggregation Using Bag of Feature Techniques
5.6 Summary and Further Reading
Part III: 3D Correspondence and Registration
6 Rigid Registration
6.1 Introduction
6.2 Coarse Registration
6.3 Fine Registration
6.4 Summary and Further Reading
7 Nonrigid Registration
7.1 Introduction
7.2 Problem Formulation
7.3 Mathematical Tools
7.4 Isometric Correspondence and Registration
7.5 Nonisometric (Elastic) Correspondence and Registration
7.6 Summary and Further Reading
8 Semantic Correspondences
8.1 Introduction
8.2 Mathematical Formulation
8.3 Graph Representation
8.4 Energy Functions for Semantic Labeling
8.5 Semantic Labeling
8.6 Examples
8.7 Summary and Further Reading
Part IV: Applications
9 Examples of 3D Semantic Applications
9.1 Introduction
9.2 Semantics: Shape or Status
9.3 Semantics: Class or Identity
9.4 Semantics: Behavior
9.5 Semantics: Position
9.6 Summary and Further Reading
10 3D Face Recognition
10.1 Introduction
10.2 3D Face Recognition Tasks, Challenges and Datasets
10.3 3D Face Recognition Methods
10.4 Summary
11 Object Recognition in 3D Scenes
11.1 Introduction
11.2 Surface Registration‐Based Object Recognition Methods
11.3 Machine Learning‐Based Object Recognition Methods
11.4 Summary and Further Reading
12 3D Shape Retrieval
12.1 Introduction
12.2 Benchmarks and Evaluation Criteria
12.3 Similarity Measures
12.4 3D Shape Retrieval Algorithms
12.5 Summary and Further Reading
13 Cross‐domain Retrieval
13.1 Introduction
13.2 Challenges and Datasets
13.3 Siamese Network for Cross‐domain Retrieval
13.4 3D Shape‐centric Deep CNN
13.5 Summary and Further Reading
14 Conclusions and Perspectives
References
Index
End User License Agreement
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3 3D Acquisition and Preprocessing
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4 Global Shape Descriptors
Part II
3D Shape Descriptors
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