Overview
- Filled with lots of clear examples
- Very well illustrated
- Tackles the complex subject of geometric algebra and explains, in detail, how the algebra operates together with its relationship with traditional vector analysis
- Includes supplementary material: sn.pub/extras
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About this book
Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems.
John Vince (author of numerous books including ‘Geometry for Computer Graphics’ and ‘Vector Analysis for Computer Graphics’) has tackled this complex subject in his usual inimitable style, and provided an accessible and very readable introduction.
As well as putting geometric algebra into its historical context, John tackles complex numbers and quaternions; the nature of wedge product and geometric product; reflections and rotations (showing how geometric algebra can offer a powerful way of describing orientations of objects and virtual cameras); and how to implement lines, planes, volumes and intersections. Introductory chapters also look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.
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Keywords
Table of contents (14 chapters)
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Front Matter
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Back Matter
Authors and Affiliations
Bibliographic Information
Book Title: Geometric Algebra for Computer Graphics
Authors: John Vince
DOI: https://doi.org/10.1007/978-1-84628-997-2
Publisher: Springer London
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag London 2008
Hardcover ISBN: 978-1-84628-996-5Published: 21 April 2008
Softcover ISBN: 978-1-84996-697-9Published: 13 October 2010
eBook ISBN: 978-1-84628-997-2Published: 10 February 2008
Edition Number: 1
Number of Pages: XVI, 256
Number of Illustrations: 125 b/w illustrations
Topics: Computer Graphics, Algebraic Geometry, Math Applications in Computer Science, Geometry