Beschreibung:
This book introduces the techniques needed to produce realistic simulations and animations of particle and rigid-body systems. The text focuses on both the theoretical and practical aspects of developing and implementing physically based dynamic-simulation engines. Each chapter examines numerous algorithms, describing their design and analysis in an accessible manner, without sacrificing depth of coverage or mathematical rigor. Features: examines the problem of computing an hierarchical representation of the geometric description of each simulated object, as well as the simulated world; discusses the use of discrete and continuous collision detection to handle thin or fast-moving objects; describes the computational techniques needed for determining all impulsive and contact forces between bodies with multiple simultaneous collisions and contacts; presents techniques that can be used to dynamically simulate articulated rigid bodies; concludes each chapter with exercises.
This book introduces techniques for producing realistic simulations and animations of particle and rigid-body systems. The focus is on both the theoretical and practical aspects of developing and implementing physically based dynamic-simulation engines.
Presents a comprehensive introduction to the techniques needed to produce realistic simulations and animations of particle and rigid-body systems
Dynamic Simulations.- Hierarchical Representation of 3D Polyhedra.- Particle Systems.- Rigid-Body Systems.- Articulated Rigid-Body Systems.- Useful 3D Geometric Constructions.- Numerical Solution of Ordinary Differential Equations of Motion Quaternions.- Rigid-Body Mass Properties.- Useful Time Derivatives.- Convex Decomposition of 3D Polyhedra.- Constructing Signed Distance Fields for 3D Polyhedra.- Conservative Time Advancement for Convex Objects.- The Linear-Complementarity Problem.