
Statistical Shape and Deformation Analysis
Methods, Implementation and Applications
Description
Key Features
- Presents an accessible introduction to the basic concepts, methods, algorithms and techniques in statistical shape and deformation analysis
- Includes implementation examples using open source software
- Covers real-life applications of statistical shape and deformation analysis methods
Readership
Researchers in medical imaging, computer scientists working in computer vision, electronic and biomedical engineers. Graduate students in these fields taking a course in Statistical Shape and Deformation Analysis
Table of Contents
Part I: Basic Concepts, Methods and Algorithms
Chapter 1: Automated Image Interpretation Using Statistical Shape Models
- Abstract
- Acknowledgements
- 1.1. Introduction
- 1.2. Statistical Shape Analysis
- 1.3. Feature Point Detection Using Shape Model Matching
- 1.4. Fully Automated Image Analysis via Shape Model Matching
- 1.5. Automated Image Interpretation and Its Applications
- 1.6. Limitations of Statistical Shape Models for Image Interpretation
- 1.7. Conclusion
- References
Chapter 2: Statistical Deformation Model: Theory and Methods
- Abstract
- 2.1. Introduction
- 2.2. Deformation Representation
- 2.3. Statistical Approaches
- 2.4. General-Purpose Deformation Models
- 2.5. Biophysics-Based Deformation
- References
Chapter 3: Correspondence Establishment in Statistical Shape Modeling: Optimization and Evaluation
- Abstract
- 3.1. Introduction
- 3.2. PDM and Shape Correspondence
- 3.3. Landmark Sliding for Shape Correspondence
- 3.4. Groupwise Shape Correspondence
- 3.5. Performance Evaluation of Shape Correspondence
- 3.6. Experiments
- 3.7. Conclusions and 3D Shape Correspondence
- References
Chapter 4: Landmark-Based Statistical Shape Representations
- Abstract
- 4.1. Introduction
- 4.2. Landmark-Based Shape Representation
- 4.3. Shape-Based Landmark Detection
- 4.4. Conclusion
- References
Chapter 5: Probabilistic Morphable Models
- Abstract
- 5.1. Introduction
- 5.2. Methods
- 5.3. Applications and Results
- 5.4. Conclusion
- References
Chapter 6: Object Statistics on Curved Manifolds
- Abstract
- Acknowledgements
- 6.1. Objectives of Object Statistics
- 6.2. Objects Live on Curved Manifolds
- 6.3. Statistical Analysis Background
- 6.4. Advanced Statistical Methods for Manifold Data
- 6.5. Correspondence
- 6.6. How to Compare Representations and Statistical Methods
- 6.7. Results of Classification, Hypothesis Testing, and Probability Distribution Estimation
- 6.8. Conclusions
- References
Chapter 7: Shape Modeling Using Gaussian Process Morphable Models
- Abstract
- 7.1. Introduction
- 7.2. Shape Modeling Using Gaussian Processes
- 7.3. Non-Rigid Registration Using Gaussian Process Priors
- 7.4. Case Study: Building a Statistical Shape Model of the Skull
- 7.5. Modeling and Analyzing Pathologies
- 7.6. Conclusion
- Appendix 7.A.
- References
Chapter 8: Bayesian Statistics in Computational Anatomy
- Abstract
- 8.1. Introduction
- 8.2. Parametric Bayesian Statistics
- 8.3. Nonparametric Bayesian Statistics
- 8.4. Conclusions and Open Problems
- References
Part II: Open Source Implementation Examples
Chapter 9: Morpho and Rvcg – Shape Analysis in R
- Abstract
- 9.1. Introduction
- 9.2. Preliminaries and Installation
- 9.3. Landmark Based Shape Analysis with Morpho
- 9.4. Manipulations on Triangular Meshes Using Rvcg (and Morpho)
- 9.5. Beyond CRAN
- 9.6. Final Remarks
- References
Chapter 10: ShapeWorks
- Abstract
- 10.1. Introducing ShapeWorks
- 10.2. Particle-Based Modeling
- 10.3. PBM Extensions
- 10.4. ShapeWorks Software Implementation and Workflow
- 10.5. ShapeWorks in Biomedical Applications
- 10.6. Conclusions and Future Work
- References
Part III: Applications
Chapter 11: Applications of Statistical Deformation Model
- Abstract
- 11.1. Image-Guided Prostate Intervention
- 11.2. Whole Heart Segmentation
- References
Chapter 12: Statistical Shape and Deformation Models Based 2D–3D Reconstruction
- Abstract
- 12.1. Introduction
- 12.2. Statistical Shape Model Based 2D–3D Reconstruction and Its Application in THA
- 12.3. Statistical Deformation Model Based 2D–3D Reconstruction
- 12.4. Final Remarks
- References
Chapter 13: Statistical Shape Analysis for Brain Structures
- Abstract
- Acknowledgments
- 13.1. Introduction
- 13.2. Surface Modeling and Registration
- 13.3. Statistical Inference on the Surface
- 13.4. An Example Application
- 13.5. Conclusions
- References
Chapter 14: Statistical Respiratory Models for Motion Estimation
- Abstract
- Acknowledgments
- 14.1. Background
- 14.2. 4-Dimensional MR Imaging
- 14.3. Motion Model Building
- 14.4. Establishment of Correspondence
- 14.5. Statistical Motion Modeling
- 14.6. Bayesian Reconstruction from Sparse Data
- 14.7. Applications of Population-Based Statistical Motion Models to Motion Reconstruction
- 14.8. Reconstruction by Regression
- 14.9. Conclusion
- References
Chapter 15: Statistical Shape and Appearance Models for Bone Quality Assessment
- Abstract
- 15.1. Introduction
- 15.2. Fundamentals of Statistical Shape and Appearance Models
- 15.3. Approaches for Bone Quality Assessment
- 15.4. Discussion and Conclusion
- References
Chapter 16: Statistical Shape Models of the Heart: Applications to Cardiac Imaging
- Abstract
- 16.1. Introduction
- 16.2. The heart
- 16.3. Cardiac Imaging Techniques
- 16.4. Statistical Shape Models
- 16.5. Discussion
- References
Product details
- No. of pages: 508
- Language: English
- Copyright: © Academic Press 2017
- Published: March 23, 2017
- Imprint: Academic Press
- eBook ISBN: 9780128104941
- Paperback ISBN: 9780128104934
About the Authors
Guoyan Zheng
Affiliations and Expertise
Shuo Li
Affiliations and Expertise
Gabor Szekely
Affiliations and Expertise
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