Название: Dual Quaternions and Their Associated Clifford Algebras
Автор: Ronald Goldman
Издательство: CRC Press
Год: 2024
Страниц: 279
Язык: английский
Формат: pdf (true)
Размер: 10.1 MB

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. Dual quaternions are much more powerful, yet much more obscure than classical quaternions. 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.