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Quaternions for Computer Graphics

Authors: Vince, John

  • 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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eBook $64.99
price for USA in USD
  • ISBN 978-1-4471-7509-4
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Hardcover $84.99
price for USA in USD
  • ISBN 978-1-4471-7508-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
About this Textbook

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.


About the authors

Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centered on computer animation software and resulted in the PICASO and PRISM animation systems. Whilst at Middlesex, he designed the UK’s first MSc course in Computer Graphics and developed a popular program of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as a Research Consultant and worked on the development of real-time computer systems for commercial flight simulators. In 1992 he was appointed Chief Scientist of Thomson Training Simulation Ltd. In 1995 he was appointed Professor of Digital Media at the National Centre for Computer Animation at Bournemouth University and in 1999 he was made Head of Academic Group for Computer Animation. He was awarded a DSc by Brunel University in recognition of his work in computer graphics. He has written and edited over 45 books on computer graphics, computer animation, computer science and virtual reality, including the following Springer titles:

• 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)

Table of contents (9 chapters)

Table of contents (9 chapters)
  • Introduction

    Pages 1-3

    Vince, John

  • Number Sets and Algebra

    Pages 5-16

    Vince, John

  • Complex Numbers

    Pages 17-53

    Vince, John

  • The Complex Plane

    Pages 55-70

    Vince, John

  • Triples and Quaternions

    Pages 71-75

    Vince, John

Buy this book

eBook $64.99
price for USA in USD
  • ISBN 978-1-4471-7509-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $84.99
price for USA in USD
  • ISBN 978-1-4471-7508-7
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Quaternions for Computer Graphics
Authors
Copyright
2021
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London Ltd., part of Springer Nature
eBook ISBN
978-1-4471-7509-4
DOI
10.1007/978-1-4471-7509-4
Hardcover ISBN
978-1-4471-7508-7
Edition Number
2
Number of Pages
XV, 181
Number of Illustrations
1 b/w illustrations, 40 illustrations in colour
Topics