Geometric Algebra for Computer Graphics
by John Vince
- 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
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.
Graduates/postgraduates, lecturers and researchers in computer graphics, animation and game development
- Clifford Algebra
- Computer graphics
- Geometric algebra
- Hardcover: 256 pages
- Illustrations: 125
- Publisher: Springer; 1 edition (April 14, 2008)
- Language: English
- ISBN-10: 1846289963
- ISBN-13: 978-1846289965
- Product Dimensions: 9.3 x 7 x 0.7 inches
- Shipping Weight: 1.2 pounds
- Price: 99.00 USD, 76.95 Euro
Source: Amazon.com, Springer.com