Geometric algebra (a Clifford Algebra) has been applied to different branchesof 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 readableintroduction. 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 algebracan 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. Filled with lots of clear examples Very well illustrated Provides anexcellent introduction to geometric algebra for computer graphics INDICE: Introduction.- Elementary Algebra.- Complex Algebra.- Vector Algebra.- Quaternion Algebra.- Geometric Conventions.- History of Geometric Algebra.- The Geometric Product.- Reflections and Rotations.- Geometric Algebra and Geometry.- Conformal Geometry.- Applications of Geometric Algebra in Computer Graphics.- Programming Tools for Geometric Algebra.- Conclusion.- References.
- ISBN: 978-1-84628-996-5
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 345
- Fecha Publicación: 01/04/2008
- Nº Volúmenes: 1
- Idioma: Inglés