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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-xix
  2. John Vince
    Pages 1-4
  3. John Vince
    Pages 5-30
  4. John Vince
    Pages 31-49
  5. John Vince
    Pages 51-63
  6. John Vince
    Pages 65-76
  7. John Vince
    Pages 77-93
  8. John Vince
    Pages 95-117
  9. John Vince
    Pages 119-151
  10. John Vince
    Pages 153-215
  11. John Vince
    Pages 217-232
  12. John Vince
    Pages 233-257
  13. John Vince
    Pages 259-306
  14. John Vince
    Pages 307-336
  15. John Vince
    Pages 337-372
  16. John Vince
    Pages 373-429
  17. John Vince
    Pages 431-470
  18. John Vince
    Pages 471-489
  19. John Vince
    Pages 491-491
  20. Back Matter
    Pages 493-505

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 in this completely revised and expanded fifth edition.

The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples.

Mathematics for Computer Graphics covers all of the key areas of the subject, including:

·        Number sets

·        Algebra

·        Trigonometry

·        Coordinate systems

·        Determinants

·        Vectors

·        Quaternions

·        Matrix algebra

·        Geometric transforms

·        Interpolation

·        Curves and surfaces

·        Analytic geometry

·        Barycentric coordinates

·        Geometric algebra

·        Differential calculus

·        Integral calculus

This fifth edition contains over 120 worked examples and over 320 colour illustrations, which are central to the author’s descriptive writing style. Mathematics for Computer Graphics 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

Transcendental Numbers Geometric Algebra Barycentric Coordinates Computer Graphics Software Mathematical Techniques

Authors and affiliations

  • John Vince
    • 1
  1. 1.Breinton,United Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4471-7336-6
  • Copyright Information Springer-Verlag London Ltd. 2017
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-1-4471-7334-2
  • Online ISBN 978-1-4471-7336-6
  • Series Print ISSN 1863-7310
  • Series Online ISSN 2197-1781
  • Buy this book on publisher's site