Physics-based animation
著者
書誌事項
Physics-based animation
（Charles River Media graphics）
Charles River Media, c2005
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注記
Includes bibliographical references (p. 783-802) and index
内容説明・目次
内容説明
This book is written to teach students and practitioners the theory behind the mathematical models and techniques required for physics-based animation. It does not teach the basic principles of animation, but rather demonstrates how to transform theoretical techniques into practical skills. It details how the mathematical models are derived from physical and mathematical principles, and explains how these mathematical models are solved in an efficient, robust, and stable manner with a computer. This impressive and comprehensive volume covers all the issues involved in physics-based animation, including collision detection, geometry, mechanics, differential equations, matrices, quaternions, and more. There is excellent coverage of collision detection algorithms and a detailed overview of a physics system. In addition, numerous examples are provided along with detailed pseudo code for most of the algorithms. This book is ideal for students of animation, researchers in the field, and professionals working in the games and movie industries.
Topics Covered: * The Kinematics: Articulated Figures, Forward and Inverse Kinematics, Motion Interpolation * Multibody Animation: Particle Systems, Continuum Models with Finite Differences, the Finite Element Method, Computational Fluid Dynamics * Collision Detection: Broad and Narrow Phase Collision Detection, Contact Determination, Bounding Volume Hierarchies, Feature-and Volume-Based Algorithms
目次
Preface Chapter 1 Introduction Part I The Kinematics Chapter 2 Articulated Figures Chapter 3 Forward and Inverse Kinematics Chapter 4 Motion Interpolation Part II Multibody Animation Chapter 5 Penalty-Based Multibody Animation Chapter 6 Impulse-Based Multibody Animation Chapter 7 Constraint-Based Multibody Animation Part III The Dynamics of Deformable Objects Chapter 8 Particle Systems Chapter 9 Continuum Models with Finite Differences Chapter 10 The Finite Element Method Chapter 11 Computational Fluid Dynamics Part IV Collision Detection Chapter 12 Broad-Phase Collision Detection Chapter 13 Introduction to Narrow-Phase Collision Detection Chapter 14 Contact Determination Chapter 15 Bounding Volume Hierarchies Chapter 16 Feature-Based Algorithms Chapter 17 Volume-Based Algorithms Part V Mathematics and Physics for Animation Chapter 18 Vectors, Matrices, and Quaternions Chapter 19 Solving Linear Systems of Equations Chapter 20 Taylor Expansion and Derivative Approximations Chapter 21 Calculus of Variation Chapter 22 Basic Classical mechanics Chapter 23 Differential Equations and Numerical Integration Chapter 24 Open Nonuniform B-Spline Theory Chapter 25 Software: Open Tissue Bibliography Index
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