Geometric Algebra For Computer Graphics

Geometric algebra a Clifford Algebra has been applied to different branchesof physics for a long time but is now being adopted by the computer graphicscommunity... » 

Geometric algebra a Clifford Algebra has been applied to different branchesof physics for a long time but is now being adopted by the computer graphicscommunity and is providing exciting new ways of solving 3D geometric problems.John Vince author of numerous books including Geometry for Computer Graphicsand Vector Analysis for Computer Graphics has tackled this complex subjectin his usual inimitable style and provided an accessible and very readableintroduction. As well as putting geometric algebra into its historical contextJohn tackles complex numbers and quaternions the nature of wedge product andgeometric product reflections and rotations showing how geometric algebra canoffer a powerful way of describing orientations of objects and virtualcameras and how to implement lines planes volumes and intersections.Introductory chapters also look at algebraic axioms vector algebra andgeometric conventions and the book closes with a chapter on how the algebra isapplied to computer graphics. TOCIntroduction. Elementary Algebra. ComplexAlgebra. Vector Algebra. Quaternion Algebra. Geometric Conventions. Historyof Geometric Algebra. The Geometric Product. Reflections and Rotations.Geometric Algebra and Geometry. Conformal Geometry. Applications of GeometricAlgebra in Computer Graphics. Programming Tools for Geometric Algebra.Conclusion. References. «