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Guide to Dynamic Simulations of Rigid Bodies and Particle Systems

  • Textbook
  • © 2013

Overview

Authors:
  1. Murilo G. Coutinho

    1. Los Angeles, USA

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  • 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

Part of the book series: Simulation Foundations, Methods and Applications (SFMA)

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XIV
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  2. Dynamic Simulation

    1. Front Matter

      Pages 1-1
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    2. Dynamic Simulations

      • Murilo G. Coutinho
      Pages 3-27

    3. Hierarchical Representation of 3D Polyhedra

      • Murilo G. Coutinho
      Pages 29-88

    4. Particle Systems

      • Murilo G. Coutinho
      Pages 89-156

    5. Rigid-Body Systems

      • Murilo G. Coutinho
      Pages 157-243

    6. Articulated Rigid-Body Systems

      • Murilo G. Coutinho
      Pages 245-277

  3. Mathematical Toolset

    1. Front Matter

      Pages 279-279
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    2. Appendix A: Useful 3D Geometric Constructions

      • Murilo G. Coutinho
      Pages 281-289

    3. Appendix B: Numerical Solution of Ordinary Differential Equations of Motion

      • Murilo G. Coutinho
      Pages 291-305

    4. Appendix C: Quaternions

      • Murilo G. Coutinho
      Pages 307-315

    5. Appendix D: Rigid-Body Mass Properties

      • Murilo G. Coutinho
      Pages 317-328

    6. Appendix E: Useful Time Derivatives

      • Murilo G. Coutinho
      Pages 329-339

    7. Appendix F: Convex Decomposition of 3D Polyhedra

      • Murilo G. Coutinho
      Pages 341-349

    8. Appendix G: Constructing Signed Distance Fields for 3D Polyhedra

      • Murilo G. Coutinho
      Pages 351-364

    9. Appendix H: Conservative Time Advancement for Convex Objects

      • Murilo G. Coutinho
      Pages 365-368

    10. Appendix I: The Linear-Complementarity Problem

      • Murilo G. Coutinho
      Pages 369-394

  4. Back Matter

    Pages 395-399
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About this book

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.

Reviews

From the reviews:

“This book offers lengthy descriptions of simulations in general, and specific kinds of systems in more depth. The chapters cover a broad range of topics. … The book also contains nine appendices on useful mathematical tools, such as differential equations, quaternions, and the convex decomposition of polyhedra. … The target audience is software developers interested in using dynamic simulations as part of their software.” (Jeffrey Putnam, Computing Reviews, July, 2013)

Authors and Affiliations

  • Los Angeles, USA

    Murilo G. Coutinho

Bibliographic Information

  • Book Title: Guide to Dynamic Simulations of Rigid Bodies and Particle Systems

  • Authors: Murilo G. Coutinho

  • Series Title: Simulation Foundations, Methods and Applications

  • DOI: https://doi.org/10.1007/978-1-4471-4417-5

  • Publisher: Springer London

  • eBook Packages: Computer Science, Computer Science (R0)

  • Copyright Information: Springer-Verlag London 2013

  • Hardcover ISBN: 978-1-4471-4416-8Published: 09 October 2012

  • Softcover ISBN: 978-1-4471-6116-5Published: 09 November 2014

  • eBook ISBN: 978-1-4471-4417-5Published: 08 October 2012

  • Series ISSN: 2195-2817

  • Series E-ISSN: 2195-2825

  • Edition Number: 1

  • Number of Pages: XIV, 402

  • Topics: Simulation and Modeling

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