دانلود کتاب Mathematical Methods for Objects Reconstruction: From 3D Vision to 3D Printing (Springer INdAM Series, 54)

فهرست مطالب :

Preface
Contents
An Overview of Some Mathematical Techniques and Problems Linking 3D Vision to 3D Printing
1 Introduction
2 Modeling with a Single Input Image
2.1 Modelization of the Surface Reflectance
2.2 Some Hints on Theoretical Issues: Viscosity Solutions and Boundary Conditions
2.3 Modelization of the Camera and the Light
3 Modeling with More Input Images
3.1 Photometric Stereo Technique
3.2 Multi-View SfS
4 An Example of Numerical Resolution
5 Moving from 3D Vision to 3D Printing
5.1 Overview
5.2 Front Propagation Problem, Level-set Method and the Eikonal Equation
5.3 Computation of the Signed Distance Function from a Surface
6 Handling Overhangs
6.1 Detecting Overhangs via Front Propagation
6.2 Fixing Overhangs via Level-set Method 1: A Direct Approach
6.3 Fixing Overhangs via Level-set Method 2: Topological Optimization with Shape Derivatives
7 Building Object-Dependent Infill Structures
8 Conclusions
Appendix A: The STL Format
Appendix B: The G-code Format
References
Photometric Stereo with Non-Lambertian Preprocessing and Hayakawa Lighting Estimation for Highly Detailed ShapeReconstruction
1 Introduction
2 Mathematical Setup
3 Photometric Stereo with Known Lighting
4 Hayakawa\'s Lighting Estimation Setup
5 The Oren–Nayar Model
6 Numerical Results
7 Summary and Conclusion
References
Shape-from-Template with Camera Focal Length Estimation
1 Introduction
1.1 Shape-from-Template (SfT)
1.2 Chapter Innovations
1.3 Chapter Organization
2 Related Works
2.1 SfT Approaches
2.1.1 Closed-Form Solutions
2.1.2 Optimization-Based Solutions
2.1.3 CNN-Based Solutions
2.2 fSfT Solutions
3 Methodology
3.1 Problem Modeling
3.1.1 Template Geometry and Deformation Parameterization
3.1.2 Cost Function
3.1.3 Cost Normalization Summary and Weight Hyper-parameters
3.2 Optimization
3.2.1 Approach Overview
3.2.2 Generating the Initialization Set
3.2.3 Optimization Process and Pseudocode
4 Experimental Results
4.1 Datasets
4.2 Evaluation Metrics
4.3 Success Rates
4.4 FLPE and SE Results
4.5 Results Visualizations
4.6 Convergence Basin
4.7 Results Summary
4.8 Additional Initialization Sensitivity Experiments
4.9 Isometric Weight Sensitivity
5 Conclusion
Appendix
1 Overview
2 Discrete Quasi-isometric Cost Implementation
2.1 Triangle Geometry and Embedding Functions
2.2 Cost
3 Optimization Termination Conditions
4 SfT Implementation Details
4.1 MDH
4.2 PnP
5 Dataset Descriptions
6 Additional Initialization Sensitivity Experiments
6.1 Initialization Policies
6.2 Dataset Versions
6.3 Results
7 Computation Cost Analysis
References
Reconstruction of a Botanical Tree from a 3D Point Cloud
1 Introduction
1.1 Context and Previous Works
1.2 Materials
2 From Graphs of Point Clouds to Tubular Surfaces
2.1 Constructing Graphs from Point Clouds
2.2 Graph Augmentation and Simplification
2.3 The Local Separator Algorithm
2.3.1 The Medial Surface and Curve Skeletons
2.3.2 Local Separators
2.3.3 Skeleton Construction
2.4 Botanical Tree
2.4.1 Reconnecting the Skeleton
2.4.2 Surface Reconstruction
3 Implementation
4 Discussion and Conclusions
References
Mixed-Integer Programming Models for Two Metal Additive Manufacturing Methods
1 Introduction
1.1 Material Feeding Before the Heating Process
1.2 Material Feeding During the Heating Process
1.3 Physical Phenomena During metal WAAM and LPBF Processes
1.4 Application of the FEM Method for Metal WAAM and LPBF Processes
1.5 Direct Solution of PDEs for Metal WAAM Processes
1.6 Mixed-Integer Linear Programming
2 Wire-Arc Additive Manufacturing
2.1 Path Generation
2.2 Temperature Calculation
2.3 Objective Function
2.4 Parameter Estimation
2.5 Computational Results
3 Laser Powder Bed Fusion
3.1 Printing Order
3.2 Temperature Calculation
3.3 Objective Functions
3.4 Computational Results
4 Conclusions and Future Work
References
Unsupervised Optimization of Laser Beam Trajectories for Powder Bed Fusion Printing and Extension to Multiphase Nucleation Models
1 Introduction
2 Heat Transfer Model and TSP Formulation
2.1 Heat Simulation Framework
2.2 TSP Based Formulation
3 Results
4 Conclusion and Discussion
A Classical JMAK Model
B Extension to Multiphase Alloys and Rapid Cooling
References