Physics-Based Deformable Models Applications to Computer Vision, Graphics and Medical Imaging

Physics-Based Deformable Models presents a systematic physics-based framework for modeling rigid, articulated, and deformable objects, their interactions with the physical world, and the estimate of their shape and motion from visual data. This book presents a large variety of methods and associated...

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Bibliographic Details
Main Author: Metaxas, Dimitris N.
Format: eBook
Language:English
Published: New York, NY Springer US 1997, 1997
Edition:1st ed. 1997
Series:The Springer International Series in Engineering and Computer Science
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 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 Multi–Level 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 Motion–Based Part Segmentation and Tracking
  • 12.1 Related Prior Work
  • 12.2 Deformable Models: Extensions
  • 12.3Inferring structure in 2D
  • 12.4 Two–dimensional human body model acquisition
  • 12.5 Three–dimensional Human Body model acquisition
  • 16.5 Summary of the Navier–Stokes Algorithm
  • 16.6 Control
  • 16.7 Examples
  • 17 Conclusions
  • A
  • References
  • 12.6 Human Body Tracking
  • 12.7 Experimental Results
  • 13 Volumetric Analysis of the Left Ventricular Wall Motion From Mri–Spamm
  • 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 Navier–Stokes Equations
  • 16.2 Solving the Navier–Stokes equations
  • 16.3 Tracking fluid position
  • 16.4 Buoyancy
  • 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 Force–Based 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