Matrix Transforms for Computer Games and Animation

  • John Vince

Table of contents

  1. Front Matter
    Pages I-XI
  2. John Vince
    Pages 1-2
  3. John Vince
    Pages 3-17
  4. John Vince
    Pages 19-30
  5. John Vince
    Pages 31-54
  6. John Vince
    Pages 55-82
  7. John Vince
    Pages 83-115
  8. John Vince
    Pages 117-145
  9. John Vince
    Pages 147-147
  10. Back Matter
    Pages 149-166

About this book


Matrix transforms are ubiquitous within the world of computer graphics, where they have become an invaluable tool in a programmer’s toolkit for solving everything from 2D image scaling to 3D rotation about an arbitrary axis. Virtually every software system and hardware graphics processor uses matrices to undertake operations such as scaling, translation, reflection and rotation. Nevertheless, for some newcomers to the world of computer games and animation, matrix notation can appear obscure and challenging.

Matrices and determinants were originally used to solve groups of simultaneous linear equations, and were subsequently embraced by the computer graphics community to describe the geometric operations for manipulating two- and three-dimensional structures. Consequently, to place matrix notation within an historical context, the author provides readers with some useful background to their development, alongside determinants.

Although it is assumed that the reader is familiar with everyday algebra and the solution of simultaneous linear equations, Matrix Transforms for Computer Games and Animation does not expect any prior knowledge of matrix notation. It includes chapters on matrix notation, determinants, matrices, 2D transforms, 3D transforms and quaternions, and includes many worked examples to illustrate their practical use.


Computer animation Computer games Computer graphics Matrix transforms Quaternions Virtual reality

Authors and affiliations

  • John Vince
    • 1
  1. 1.Ashtead, SurreyUnited Kingdom

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag London 2012
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-1-4471-4320-8
  • Online ISBN 978-1-4471-4321-5
  • Buy this book on publisher's site