Böcker av Ronald Goldman

Clifford algebra for dual quaternions has emerged recently as an alternative to standard matrix algebra as a computational framework for computer graphics. This book presents dual quaternions and their associated Clifford algebras in a new light, accessible to and geared toward the computer graphics community.Collecting all the associated formulas and theorems in one place, this book provides an extensive and rigorous treatment of dual quaternions, as well as showing how two models of Clifford algebra emerge naturally from the theory of dual quaternions. Each section comes complete with a set of exercises to help readers sharpen and practice their understanding.This book is accessible to anyone with a basic knowledge of quaternion algebra and is of particular use to forward-thinking members of the computer graphics community.

Taking a novel, more appealing approach than current texts, this book presents an easy-to-read introduction to computer graphics and geometric modeling. Emphasizing high-level algorithms, it focuses on standard graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques. The author begins with fractals first rather than typical line drawing algorithms and also brings back the turtle from obscurity to introduce several major concepts in computer graphics. The text includes many exercises and programming projects and offers a website with PowerPoint slides.

Presents an introduction to computer graphics and geometric modeling. Emphasizing high-level algorithms, this book focuses on standard graphics, modeling, and mathematical methods, including ray tracing, polygon shading, radiosity, fractals, freeform curves and surfaces, vector methods, and transformation techniques.