Geometric Algebra for Computer Graphics

(Autor)

Buch | Hardcover
256 Seiten
2008
Springer London Ltd (Verlag)
978-1-84628-996-5 (ISBN)

Lese- und Medienproben

Geometric Algebra for Computer Graphics - John Vince
106,99 inkl. MwSt
The author tackles this complex subject of Geometric algebra (a Clifford Algebra) with inimitable style, and provides an accessible and very readable introduction. The book is filled with lots of clear examples and is very well illustrated.
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.

Elementary Algebra.- Complex Algebra.- Vector Algebra.- Quaternion Algebra.- Geometric Conventions.- Geometric Algebra.- The Geometric Product.- Reflections and Rotations.- Geometric Algebra and Geometry.- Conformal Geometry.- Applications of Geometric Algebra.- Programming Tools for Geometric Algebra.- Conclusion.

Erscheint lt. Verlag 21.4.2008
Zusatzinfo 125 Illustrations, black and white; XVI, 256 p. 125 illus.
Verlagsort England
Sprache englisch
Maße 178 x 235 mm
Themenwelt Mathematik / Informatik Informatik Grafik / Design
Mathematik / Informatik Informatik Software Entwicklung
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-84628-996-3 / 1846289963
ISBN-13 978-1-84628-996-5 / 9781846289965
Zustand Neuware
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