Guide to Dynamic Simulations of Rigid Bodies and Particle Systems, 2013
Simulation Foundations, Methods and Applications Series

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Language: English
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Guide to Dynamic Simulations of Rigid Bodies and Particle Systems
Publication date:
402 p. · 15.5x23.5 cm · Paperback

52.74 €

In Print (Delivery period: 15 days).

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Guide to Dynamic Simulations of Rigid Bodies and Particle Systems
Publication date:
402 p. · 15.5x23.5 cm · Hardback
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.

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

Presents a comprehensive introduction to the techniques needed to produce realistic simulations and animations of particle and rigid-body systems

Written in an accessible style that nevertheless maintains depth of coverage and mathematical rigor

Concludes each chapter with exercises

Includes supplementary material: sn.pub/extras