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Mathematics for Computer Graphics

  • Textbook
  • © 2010

Overview

Authors:
  1. John Vince

    1. Ringwood, Hampshire, United Kingdom

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

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Mathematics

    • John Vince
    Pages 1-3

  3. Numbers

    • John Vince
    Pages 5-11

  4. Algebra

    • John Vince
    Pages 13-19

  5. Trigonometry

    • John Vince
    Pages 21-26

  6. Cartesian Coordinates

    • John Vince
    Pages 27-34

  7. Vectors

    • John Vince
    Pages 35-57

  8. Transforms

    • John Vince
    Pages 59-117

  9. Interpolation

    • John Vince
    Pages 119-133

  10. Curves and Patches

    • John Vince
    Pages 135-160

  11. Analytic Geometry

    • John Vince
    Pages 161-206

  12. Barycentric Coordinates

    • John Vince
    Pages 207-235

  13. Geometric Algebra

    • John Vince
    Pages 237-270

  14. Worked Examples

    • John Vince
    Pages 271-288

  15. Conclusion

    • John Vince
    Pages 289-289

  16. Back Matter

    Pages 291-293
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Keywords

About this book

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.

Reviews

From the reviews of the third edition:

“Slim volume could be a computer graphics student’s (and professor’s) next best friend. … the style of writing is crisp and the approach is practical. Although the theory is light, rigorous detailed derivations on each topic, sometimes from more than one approaches are plentiful and characterize the author’s approach throughout the entire book. It is surprising to find really practical mathematics packaged in fewer than 300 pages. For those studying or teaching computer graphics, this book will be a valuable companion to have on hand.” (Anthony J. Duben, ACM Computing Reviews, September, 2010)

Authors and Affiliations

  • Ringwood, Hampshire, United Kingdom

    John Vince

About the author

John Vince has been writing books for 25 years. Previous publications with Springer include:

Geometric Algebra: An Algebraic System for Computer Games and Animation Springer, 2009, ISBN 978-1-84882-378-5

Vector Analysis for Computer Graphics

Springer, 2007, ISBN 978-1-84628-803-6

Mathematics for Computer Graphics

Springer, 2006, ISBN 1-84628-034-6

Introduction to Virtual Reality

Springer, 2004, ISBN 1-85233-739-7

More information can be found at http://www.johnvince.co.uk/

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