Deformable Models

Tim Mclnerney 1 Introduction 127

Demetri Terzopoulos 2 Mathematical Foundations of Deformable Models 128

University of Toronto 2.1 Energy-Minimizing Deformable Models • 2.2 Dynamic Deformable Models • 2.3 Discretization and Numerical Simulation • 2.4 Probabilistic Deformable Models

3 Medical Image Analysis with Deformable Models 130

3.1 Image Segmentation with Deformable Curves • 3.2 Volume Image Segmentation with Deformable Surfaces • 3.3 Incorporating A Priori Knowledge • 3.4 Matching • 3.5 Motion Tracking and Analysis

4 Discussion 137

4.1 Autonomy vs Control • 4.2 Generality vs Specificity • 4.3 Compactness vs Geometric Coverage vs Topological Flexibility • 4.4 Curve vs Surface vs Solid Models • 4.5 Accuracy and Quantitative Power • 4.6 Robustness

5 Conclusion 139

References 139

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