Overview
- Describes quaternions as a progression from 2-D complex numbers to a 3-D transform for rotating points in space
- Includes a variety of matrices that permit quaternions to be easily coded into a family of library functions
- Relevant historical events show how quaternions led to the invention of modern vector analysis
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Table of contents (9 chapters)
Keywords
About this book
If you have ever wondered what quaternions are — then look no further, John Vince will show you how simple and useful they are. This 2nd edition has been completely revised and includes extra detail on the invention of quaternions, a complete review of the text and equations, all figures are in colour, extra worked examples, an expanded index, and a bibliography arranged for each chapter.
Quaternions for Computer Graphics includes chapters on number sets and algebra, imaginary and complex numbers, the complex plane, rotation transforms, and a comprehensive description of quaternions in the context of rotation. The book will appeal to students of computer graphics, computer science and mathematics, as well as programmers, researchers, academics and professional practitioners interested in learning about quaternions.
John Vince explains in an easy-to-understand language, with the aid of useful figures, how quaternions emerged, gave birth to modern vector analysis, disappeared, and reemerged to be adopted by the flight simulation industry and computer graphics. This book will give you the confidence to use quaternions within your every-day mathematics, and explore more advanced texts.Authors and Affiliations
About the author
• Mathematics for Computer Graphics, 5th edition (2017)
• Calculus for Computer Graphics, 2nd edition (2019)
• Imaginary Mathematics for Computer Science, (2018)
• Foundation Mathematics for Computer Science, 2nd edition (2015)
• Matrix Transforms for Computer Games and Animation (2012)
• Expanding the Frontiers of Visual Analytics and Visualization (2012)
• Quaternions for Computer Graphics (2011)
• Rotation Transforms for Computer Graphics (2011)
• Geometric Algebra: An Algebraic System for Computer Animation and Games (2009)• Geometric Algebra for Computer Graphics (2008)
Bibliographic Information
Book Title: Quaternions for Computer Graphics
Authors: John Vince
DOI: https://doi.org/10.1007/978-1-4471-7509-4
Publisher: Springer London
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag London Ltd., part of Springer Nature 2021
Hardcover ISBN: 978-1-4471-7508-7Published: 03 September 2021
Softcover ISBN: 978-1-4471-7511-7Published: 04 September 2022
eBook ISBN: 978-1-4471-7509-4Published: 02 September 2021
Edition Number: 2
Number of Pages: XV, 181
Number of Illustrations: 1 b/w illustrations, 40 illustrations in colour
Topics: Computer Graphics, Mathematical Logic and Foundations, Mathematical Applications in Computer Science