Mathematics for Computer Graphics (Undergraduate Topics in Computer Science) - Softcover

Über die Autorin bzw. den Autor

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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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.