Foundations of Physically Based Modeling and Animation

Physics forms the basis for many of the motions and behaviors seen in both the real world and in the virtual worlds of animated films, visual effects, and computer games. By describing the underlying physical principles and then creating simulations based on these principles, these computer-generated worlds are brought to life. Physically Based Modeling and Animation goes behind the scenes of computer animation and details the mathematical and algorithmic foundations that are used to determine the behavior underlying the movement of virtual objects and materials. Dr. Donald House and Dr. John Keyser offer an approachable, hands-on view of the equations and programming that form the foundations of this field. They guide readers from the beginnings of modeling and simulation to more advanced techniques, enabling them to master what they need to know in order to understand and create their own animations

Table of Contents

SECTION I: Foundations
CHAPTER 1: Introduction
CHAPTER 2: Simulation Foundations
CHAPTER 3: Follow the Bouncing Ball

SECTION II: Particle-Based Models
CHAPTER 4: Particle Systems
CHAPTER 5: Particle Choreography
CHAPTER 6: Interacting Particle Systems
CHAPTER 7: Numerical Integration
CHAPTER 8: Deformable Springy Meshes

SECTION III: Rigid Bodies and Constrained Dynamics
CHAPTER 9: Rigid Body Dynamics
CHAPTER 10: Rigid Body Collisions and Contacts
CHAPTER 11: Constraints
CHAPTER 12: Articulated Bodies

SECTION IV: Fluid Simulation
CHAPTER 13: Foundations of Fluid Dynamics
CHAPTER 14: Smoothed Particle Hydrodynamics
CHAPTER 15: Finite Difference Algorithms

Appendix A: Vectors
Appendix B: Matrix Algebra
Appendix C: Affine Transformations
Appendix D: Coordinate Systems
Appendix E: Quaternions
Appendix F: Barycentric Coordinates