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.

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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/

Bibliographic Information

Book Title: Mathematics for Computer Graphics
Authors: John Vince
Series Title: Undergraduate Topics in Computer Science
DOI: https://doi.org/10.1007/978-1-84996-023-6
Publisher: Springer London
eBook Packages: Computer Science, Computer Science (R0)
eBook ISBN: 978-1-84996-023-6Published: 26 January 2010
Series ISSN: 1863-7310
Series E-ISSN: 2197-1781
Edition Number: 3
Number of Pages: XV, 293
Topics: Mathematics of Computing, Simulation and Modeling, Computer Graphics

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Table of contents (14 chapters)

Front Matter

Back Matter

About this book