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Über dieses Buch

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.

Inhaltsverzeichnis

Frontmatter

Dynamic Simulation

Frontmatter

2013 | OriginalPaper | Buchkapitel

1. Dynamic Simulations

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

2. Hierarchical Representation of 3D Polyhedra

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

3. Particle Systems

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

4. Rigid-Body Systems

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

5. Articulated Rigid-Body Systems

Murilo G. Coutinho

Mathematical Toolset

Frontmatter

2013 | OriginalPaper | Buchkapitel

6. Appendix A: Useful 3D Geometric Constructions

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

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

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

8. Appendix C: Quaternions

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

9. Appendix D: Rigid-Body Mass Properties

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

10. Appendix E: Useful Time Derivatives

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

11. Appendix F: Convex Decomposition of 3D Polyhedra

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

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

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

13. Appendix H: Conservative Time Advancement for Convex Objects

Murilo G. Coutinho

2013 | OriginalPaper | Buchkapitel

14. Appendix I: The Linear-Complementarity Problem

Murilo G. Coutinho

Backmatter

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