Game physics / David H. Eberly.

Format:

Book

Author/Creator:

Eberly, David H.

Contributor:

CRC Press.

Series:

Interactive 3D technology series

Language:

English

Subjects (All):

Video games--Programming.

Video games.

Physics--Computer simulation.

Physics.

Computer graphics.

Three-dimensional display systems.

Physical Description:

1 online resource (959 p.)

Edition:

2nd ed.

Place of Publication:

Burlington, MA : Morgan Kaufmann/Elsevier, c2010.

Language Note:

English

Summary:

Create physically realistic 3D Graphics environments with this introduction to the ideas and techniques behind the process. Author David H. Eberly includes simulations to introduce the key problems involved and then gradually reveals the mathematical and physical concepts needed to solve them. He then describes all the algorithmic foundations and uses code examples and working source code to show how they are implemented, culminating in a large collection of physical simulations. The book tackles the complex, challenging issues that other books avoid, including Lagrangian dynamics, rigid body dynamics, impulse methods, resting contact, linear complementarity problems, deformable bodies, mass-spring systems, friction, numerical solution of differential equations, numerical stability and its relationship to physical stability, and Verlet integration methods. This book even describes when real physics isn't necessary - and hacked physics will do.

Contents:

Front Cover; Title Page; Copyright Page; Dedication; Table of Contents; Trademarks; Figures; Tables; Preface to theSecond Edition; Preface to theFirst Edition; About the CD-ROM; Chapter 1.Introduction; 1.1 A Brief History of the World; 1.2 A Summary of the Topics; 1.3 Examples and Exercises; Chapter 2.Basic Concepts from Physics; 2.1 Rigid Body Classification; 2.2 Rigid Body Kinematics; 2.2.1 Single Particle; 2.2.2 Particle Systems and Continuous Materials; 2.3 Newton's Laws; 2.4 Forces; 2.4.1 Gravitational Forces; 2.4.2 Spring Forces; 2.4.3 Friction and Other Dissipative Forces; 2.4.4 Torque

2.4.5 Equilibrium2.5 Momenta; 2.5.1 Linear Momentum; 2.5.2 Angular Momentum; 2.5.3 Center of Mass; 2.5.4 Moments and Products of Inertia; 2.5.5 Mass and Inertia Tensor of a Solid Polyhedron; 2.6 Energy; 2.6.1 Work and Kinetic Energy; 2.6.2 Conservative Forces and Potential Energy; Chapter 3. Rigid Body Motion; 3.1 Newtonian Dynamics; 3.2 Lagrangian Dynamics; 3.2.1 Equations of Motion for a Particle; 3.2.2 Time-Varying Frames or Constraints; 3.2.3 Interpretation of the Equations of Motion; 3.2.4 Equations of Motion for a System of Particles; 3.2.5 Equations of Motion for a Continuum of Mass

3.2.6 Examples with Conservative Forces3.2.7 Examples with Dissipative Forces; 3.3 Euler's Equations of Motion; Chapter 4.Deformable Bodies; 4.1 Elasticity, Stress, and Strain; 4.2 Mass-Spring Systems; 4.2.1 One-Dimensional Array of Masses; 4.2.2 Two-Dimensional Array of Masses; 4.2.3 Three-Dimensional Array of Masses; 4.2.4 Arbitrary Configurations; 4.3 Control Point Deformation; 4.3.1 B-Spline Curves; 4.3.2 NURBS Curves; 4.3.3 B-Spline Surfaces; 4.3.4 NURBS Surfaces; 4.3.5 Surfaces Built from Curves; 4.4 Free-Form Deformation; 4.5 Implicit Surface Deformation; 4.5.1 Level Set Extraction

4.5.2 Isocurve Extraction in 2D Images4.5.3 Isosurface Extraction in 3D Images; Chapter 5.Fluids and Gases; 5.1 Vector Calculus; 5.1.1 Gradient, Directional Derivative, and Total Derivative; 5.1.2 Vector Fields, Divergence, and Laplacian; 5.1.3 Curl; 5.1.4 Line Integrals; 5.1.5 Surface Integrals and Stokes' Theorem; 5.1.6 Volume Integrals and the Divergence Theorem; 5.1.7 Green's Theorem, Laplace's Equation, and Poisson'sEquation; 5.1.8 Vector Field Decomposition; 5.2 Strain and Stress; 5.2.1 Strain Tensor; 5.2.2 Stress Tensor; 5.2.3 The Relationship Between Strain and Stress

5.3 Conservation Laws5.3.1 Conservation of Mass; 5.3.2 Conservation of Momentum; 5.4 A Simplified Model for Fluid Flow; 5.5 Implementing the Simplified 2D Model; 5.5.1 The Density Equation; 5.5.2 The Diffusion Term; 5.5.3 The Advection Term; 5.5.4 The Source-Sink Term; 5.5.5 The Total Density Update; 5.5.6 The Velocity Equations; 5.5.7 Specialized Boundary Handling; 5.6 Implementing the Simplified 3D Model; 5.7 Variations of the Simplified Model; 5.7.1 Vorticity Confinement and Vortex Particles; 5.7.2 Separate Pressure Term; 5.7.3 Omit Diffusion Terms; 5.7.4 Density and Velocity Dissipation

5.7.5 Include Temperature

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

Description based on metadata supplied by the publisher and other sources.

ISBN:

0-429-09970-3

1-282-87887-5

9786612878879

0-08-096407-9

9780429099700

OCLC:

701704685