Physically-based modeling for computer graphics : a structured approach

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. * Presents a philosophy and terminology for Structured Modeling * Includes mathematicl and programming techniques to support and implement the methodology * Covers a library of model components, including rigid-body kinematics, rigid-body dynamics, and force-based constraint methods * Includes illustrations of several ample models created from these components * Foreword by Al Barr 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. Presents a philosophy and terminology for Structured Modeling Content: Front Matter , Page iii Copyright , Page iv Schematic Overview , Page v Foreword , Pages xi-xii Preface , Pages xiii-xiv Index of Figures , Pages xv-xxii Notation , Pages xxiii-xxiv INTRODUCTION TO INTRODUCTION , Page 1 Chapter 1 - Overview , Pages 2-13 Chapter 2 - Overview of Physically-Based Modeling , Pages 14-24 INTRODUCTION TO STRUCTURED MODELING , Page 25 Chapter 3 - A Structured Analysis of Modeling , Pages 26-49 Chapter 4 - Structured Physically-Based Modeling , Pages 50-73 Chapter 5 - Structured Mathematical Modeling , Pages 74-121 Chapter 6 - Computer Programming for Structured Modeling , Pages 122-138 INTRODUCTION TO PROTOTYPE PHYSICALLY-BASED MODEL LIBRARY , Page 139 Chapter 7 - Overview of Model Library , Pages 140-145 Chapter 8 - Coordinate Frames Model , Pages 146-171 Chapter 9 - Kinematic Rigid-Bodies Model , Pages 172-183 Chapter 10 - Dynamic Rigid-Bodies Model , Pages 184-211 Chapter 11 - “Fancy Forces” Model , Pages 212-247 Chapter 12 - Swinging Chain Model , Pages 248-253 Chapter 13 - “Tennis Ball Cannon” , Pages 254-265 Chapter 14 - Extensions to the Prototype Library , Pages 266-273 INTRODUCTION TO CONCLUSION AND APPENDICES , Page 275 Chapter 15 - Concluding Remarks , Pages 276-283 Appendix A - Miscellaneous Mathematical Constructs , Pages 284-287 Appendix B - Prototype Implementation , Pages 288-303 Appendix C - Solving Piecewise-Continuous ODEs , Pages 304-315 References , Pages 316-323 Index , Pages 324-334 Annotation 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.* Presents a philosophy and terminology for "Structured Modeling"* Includes mathematicl and programming techniques to support and implement the methodology* Covers a library of model components, including rigid-body kinematics, rigid-body dynamics, and force-based constraint methods* Includes illustrations of several ample models created from these components* Foreword by Al Barr 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.