Dual Quaternions and Their Associated Clifford Algebras

Clifford algebra for dual quaternions is a computational framework for computer graphics that provides an alternative to standard matrix algebra. This book presents dual quaternions and their associated Clifford algebras in a new light, making them accessible to the computer graphics community and providing an extensive and rigorous treatment of the subject. It also shows how two models of Clifford algebra emerge naturally from the theory of dual quaternions and includes a set of exercises to help readers sharpen their understanding.

Format: Hardback
Length: 258 pages
Publication date: 29 September 2023
Publisher: Taylor & Francis Ltd

Clifford algebra has recently emerged as a powerful computational framework for computer graphics, offering an alternative to traditional matrix algebra. In this comprehensive book, dual quaternions and their associated Clifford algebras are presented in a fresh and accessible manner, tailored specifically for the computer graphics community.

The book begins by introducing dual quaternions and their fundamental properties, providing a solid foundation for further exploration. It then delves into the intricate world of Clifford algebras, offering a comprehensive treatment that encompasses various formulas and theorems. By consolidating all relevant information in one place, the book ensures a thorough and rigorous understanding of dual quaternions and their applications.

Furthermore, the book demonstrates how two models of Clifford algebra naturally emerge from the theory of dual quaternions. Each section is accompanied by a set of exercises designed to reinforce the concepts learned and enhance the reader's proficiency. Whether you are a seasoned mathematician or a computer graphics professional seeking to expand your knowledge, this book is an invaluable resource.

With its clear and concise writing style, the book is accessible to anyone with a basic understanding of quaternion algebra. It is particularly valuable to forward-thinking members of the computer graphics community, as it offers insights into the latest developments in this field. By leveraging the power of Clifford algebra, computer graphics professionals can achieve more accurate and visually stunning representations, leading to enhanced immersive experiences.

In conclusion, Clifford algebra for dual quaternions has revolutionized the way computer graphics are approached, providing a robust and efficient computational framework. This book offers a comprehensive and accessible introduction to dual quaternions and their Clifford algebras, making it an essential resource for anyone interested in advancing their knowledge in this field.

Weight: 670g
Dimension: 229 x 152 (mm)
ISBN-13: 9781032502960