Geometric Algebra for Computer Graphics

Authors: Vince, John

  • 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
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eBook $69.99
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  • ISBN 978-1-84628-997-2
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  • Download immediately after purchase
Hardcover $99.00
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  • ISBN 978-1-84628-996-5
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  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
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  • ISBN 978-1-84996-697-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this Textbook

Since its invention, geometric algebra has been applied to various branches of physics such as cosmology and electrodynamics, and is now being embraced by the computer graphics community where it is providing new ways of solving geometric problems. It took over two thousand years to discover this algebra, which uses a simple and consistent notation to describe vectors and their products.

John Vince (best-selling author of a number of books including ‘Geometry for Computer Graphics’ and ‘Vector Analysis for Computer Graphics’) tackles this new subject in his usual inimitable style, and provides an accessible and very readable introduction.

The first five chapters review the algebras of real numbers, complex numbers, vectors, and quaternions and their associated axioms, together with the geometric conventions employed in analytical geometry. As well as putting geometric algebra into its historical context, John Vince provides chapters on Grassmann’s outer product and Clifford’s geometric product, followed by the application of geometric algebra to reflections, rotations, lines, planes and their intersection. The conformal model is also covered, where a 5D Minkowski space provides an unusual platform for unifying the transforms associated with 3D Euclidean space.

Filled with lots of clear examples and useful illustrations, this compact book provides an excellent introduction to geometric algebra for computer graphics.

Buy this book

eBook $69.99
price for USA
  • ISBN 978-1-84628-997-2
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Download immediately after purchase
Hardcover $99.00
price for USA
  • ISBN 978-1-84628-996-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.00
price for USA
  • ISBN 978-1-84996-697-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Geometric Algebra for Computer Graphics
Authors
Copyright
2008
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84628-997-2
DOI
10.1007/978-1-84628-997-2
Hardcover ISBN
978-1-84628-996-5
Softcover ISBN
978-1-84996-697-9
Edition Number
1
Number of Pages
XVI, 256
Number of Illustrations and Tables
125 b/w illustrations
Topics