Addresses the challenge of designing and managing the complexity of physically-based models. This book presents a philosophy and terminology for "Structured Modeling" and includes mathematical and programming techniques to support and implement the methodology. It covers a library of model components, and includes illustrations of several models.

"Physically-Based Modeling for Computer Graphics: A Structured Approach" addresses the challenge of designing and managing the complexity of physically-based models. This book will be of interest to researchers, computer graphics practitioners, mathematicians, engineers, animators, software developers and those interested in computer implementation and simulation of mathematical models. It presents a philosophy and terminology for "Structured Modeling" and includes mathematical and programming techniques to support and implement the methodology. It covers a library of model components, including rigid-body kinematics, rigid-body dynamics, and force-based constraint methods. It includes illustrations of several ample models created from these components and contains a foreword by Al Barr.

Introduction: Overview. Overview of "Physically Based Modeling". Structured Modeling: Concepts: A Structured Analysis of Modeling. Structured Physically-Based Modeling. Structured Mathematical Modeling: Principles of Structured Mathematical Modeling. Mathematical "Modules". Structured Naming Strategies. Mathematical "State Spaces". Identifiers (Ids), Indexed Sets, And Trees. Structured Modeling: Computer Graphics Programming: Principles for Program Structured. Programming Techniques for Structured Modeling. Physically Based Models: Mathematical Library: "Coordinate Systems" Package. Kinematic Rigid Bodies Package. Rigid-Bodies Model. Physically Based Models: Computer Models: Library of Computer Models. Bicycle Gear Train: Structured Model. Structured Modeling Examples (Applied to Real Problems). Conclusion and Appendices: Conclusion. Bibliography.