Mathematics for Computer Graphics

  • John Vince

Part of the Undergraduate Topics in Computer Science book series (UTICS)

Table of contents

  1. Front Matter
    Pages i-xv
  2. John Vince
    Pages 1-3
  3. John Vince
    Pages 5-11
  4. John Vince
    Pages 13-19
  5. John Vince
    Pages 21-26
  6. John Vince
    Pages 27-34
  7. John Vince
    Pages 35-57
  8. John Vince
    Pages 59-117
  9. John Vince
    Pages 119-133
  10. John Vince
    Pages 135-160
  11. John Vince
    Pages 161-206
  12. John Vince
    Pages 207-235
  13. John Vince
    Pages 237-270
  14. John Vince
    Pages 271-288
  15. John Vince
    Pages 289-289
  16. Back Matter
    Pages 291-293

About this book

Introduction

John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD, and other areas of computer graphics.

Covering all the mathematical techniques required to resolve geometric problems and design computer programs for computer graphic applications, each chapter explores a specific mathematical topic prior to moving forward into the more advanced areas of matrix transforms, 3D curves and surface patches. Problem-solving techniques using vector analysis and geometric algebra are also discussed.

All the key areas are covered including:

• Numbers

• Algebra

• Trigonometry

• Coordinate geometry

• Transforms

• Vectors

• Curves and surfaces

• Barycentric coordinates

• Analytic geometry.

Plus – and unusually in a student textbook – a chapter on geometric algebra is included.

With plenty of worked examples, the book provides a sound understanding of the mathematics required for computer graphics, giving a fascinating insight into the design of computer graphics software, and setting the scene for further reading of more advanced books and technical research papers.

Keywords

3D 3D graphics Interpolation Partition Splines animation computer animation computer graphics reflection

Authors and affiliations

  • John Vince
    • 1
  1. 1.Ringwood, HampshireUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-84996-023-6
  • Copyright Information Springer-Verlag London 2010
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-1-84996-022-9
  • Online ISBN 978-1-84996-023-6
  • Series Print ISSN 1863-7310
  • About this book
Industry Sectors
Electronics