1 Introduction. - 1. 1 Illustrative Examples of Modeling and Estimation. - 1. 2 Chapter Outline. - 2 Geometry of Deformable Models. - 2. 1 Related Work. - 2. 2 Hybrid Deformable Models. - 3 Kinematics and Dynamics. - 3. 1 Kinematics. - 3. 2 Dynamics. - 3. 3 Choosing the Order of the Motion Equations. - 4 Finite Element Implementation. - 4. 1 Choosing the Appropriate Elements. - 4. 2 Various Model Tessellations. - 4. 3C0Elements. - 4. 4C1Triangular Elements. - 4. 5 Approximation of the Lagrange Equations. - 5 Applied Forces. - 5. 1 Computer Vision and Medical Imaging Applications. - 5. 2 Computer Graphics Applications. - 5. 3 ForceBased Estimation. - 6 Model Implementation. - 6. 1 Integrating the Motion Equations. - 6. 2 Model Initialization. - 6. 3 Computer Vision Experiments. - 6. 4 Computer Graphics Experiments. - 7 Constrained Nonrigid Motion. - 7. 1 Holonomic Constraints and Lagrange Multipliers. - 7. 2 Stabilized Constraints. - 7. 3 Fast Constraint Force Computation for Multibody Objects. - 7. 4 Experiments with Constraints. - 8 Shape and Nonrigid Motion Estimation. - 8. 1 Recursive Estimation. - 8. 2 Kalman Filter Implementation. - 8. 3 Recursive Estimation of Shape and Nonrigid Motion. - 9 MultiLevel Shape Representation. - 9. 1 Related Work. - 9. 2 Deformable Models: Geometry and Dynamics. - 9. 3 Locally Adaptive Finite Elements. - 9. 4 Summary of Model Fitting to Range Data. - 9. 5 Experiments. - 10 Topologically Adaptive Models Based on Blending. - 10. 1 Related Work. - 10. 2 Blended shapes. - 10. 3 Reconstruction and evolution. - 10. 4 Experiments. - 11 Integration of Qualitative Segmentation and Pbm Methods. - 11. 1 Related Work. - 11. 2 Qualitative Model Extraction. - 11. 3 Quantitative Shape and Motion Recovery. - 12 MotionBased Part Segmentation and Tracking. - 12. 1 Related Prior Work. - 12. 2 Deformable Models: Extensions. - 12. 3Inferring structure in 2D. - 12. 4 Twodimensional human body model acquisition. - 12. 5 Threedimensional Human Body model acquisition. - 12. 6 Human Body Tracking. - 12. 7 Experimental Results. - 13 Volumetric Analysis of the Left Ventricular Wall Motion From MriSpamm. - 13. 1 Related Work. - 13. 2 Data Extraction Techniques for Cardiac Motion Studies. - 13. 3 Volumetric Deformable Models with Parameter Functions. - 13. 4 Model Force Computation. - 13. 5 Model Parameters. - 13. 6 Implementation of Model Fitting Procedure. - 13. 7 Experimental Results. - 14 Visualizing Respiratory Mechanics Based on Anatomical and Physiological Modeling. - 14. 1 Related Work. - 14. 2 Basic Anatomy and Physiology. - 14. 3 Methods. - 14. 4 Results. - 15 Recursive Dynamics and Adaptive Control for Animating Articulated Figures. - 15. 1 System Description. - 15. 2 Efficient Forward Dynamics. - 15. 3 Collision handling. - 15. 4 Dynamic Control. - 15. 5 Results. - 16 Animating Liquids. - 16. 1 NavierStokes Equations. - 16. 2 Solving the NavierStokes equations. - 16. 3 Tracking fluid position. - 16. 4 Buoyancy. - 16. 5 Summary of the NavierStokes Algorithm. - 16. 6 Control. - 16. 7 Examples. - 17 Conclusions. - A. - References. Language: English