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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