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  • Textbook
  • © 2013

Guide to Dynamic Simulations of Rigid Bodies and Particle Systems

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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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USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-1-4471-4417-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 79.95
Price excludes VAT (USA)
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Price excludes VAT (USA)

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Table of contents (14 chapters)

  1. Front Matter

    Pages I-XIV
  2. Dynamic Simulation

    1. Front Matter

      Pages 1-1
    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
    2. Appendix A: Useful 3D Geometric Constructions

      • Murilo G. Coutinho
      Pages 281-289
    3. Appendix C: Quaternions

      • Murilo G. Coutinho
      Pages 307-315
    4. Appendix D: Rigid-Body Mass Properties

      • Murilo G. Coutinho
      Pages 317-328
    5. Appendix E: Useful Time Derivatives

      • Murilo G. Coutinho
      Pages 329-339
    6. Appendix F: Convex Decomposition of 3D Polyhedra

      • Murilo G. Coutinho
      Pages 341-349
    7. Appendix I: The Linear-Complementarity Problem

      • Murilo G. Coutinho
      Pages 369-394
  4. Back Matter

    Pages 395-399

About this book

Physically based modeling is widely used within the fields of computer graphics and mechanical engineering for complex systems that are difficult to analyze using conventional mechanics theory.

This book presents a comprehensive introduction to the techniques needed to produce realistic simulations and animations of particle and rigid-body systems. The book focuses on both the theoretical and practical aspects of developing and implementing physically based dynamic-simulation engines. Opening with an overview of the independent modules constituting a simulation engine, the text then provides detailed explanations for each technique, with more complex mathematical algorithms and associated implementations included in the second part of the book. Each chapter examines numerous algorithms, describing their design and analysis in an accessible manner, without sacrificing depth of coverage or mathematical rigor.

Topics and 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, including a derivation of the conservative time advancement algorithm
  • 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, ranging from issues of algorithm enhancements to alternative approaches that complement the algorithms discussed in the book

Practical and easy-to-follow, this hands-on guide/reference is essential reading for software developers involved in computer graphics, computer animation, and computer-aided mechanical design and modeling.

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: 978-1-4471-4416-8

  • Softcover ISBN: 978-1-4471-6116-5

  • eBook ISBN: 978-1-4471-4417-5

  • Series ISSN: 2195-2817

  • Series E-ISSN: 2195-2825

  • Edition Number: 1

  • Number of Pages: XIV, 402

  • Topics: Computer Modelling

Buying options

eBook
USD 59.99
Price excludes VAT (USA)
  • ISBN: 978-1-4471-4417-5
  • Instant PDF download
  • Readable on all devices
  • Own it forever
  • Exclusive offer for individuals only
  • Tax calculation will be finalised during checkout
Softcover Book
USD 79.95
Price excludes VAT (USA)
Hardcover Book
USD 109.99
Price excludes VAT (USA)