Guide to Dynamic Simulations of Rigid Bodies and Particle Systems

1. Auflage 2012
ISBN: 978-1-4471-4416-8
Verlag: Springer

Buch, Englisch, 402 Seiten, Format (B × H): 160 mm x 241 mm, Gewicht: 787 g

Reihe: Simulation Foundations, Methods and Applications

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.

Zielgruppe

Professional/practitioner

Autoren/Hrsg.

Coutinho, Murilo G.

Fachgebiete

• Technische Wissenschaften Technik Allgemein Modellierung & Simulation
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Grafikprogrammierung
• Technische Wissenschaften Technik Allgemein Konstruktionslehre und -technik
• Mathematik | Informatik EDV | Informatik Programmierung | Softwareentwicklung Spiele-Programmierung, Rendering, Animation
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Maschinenbau Konstruktionslehre, Bauelemente, CAD
• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computersimulation & Modelle, 3-D Graphik

Inhaltsverzeichnis

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.