Geometric Algebra for Computer Graphics

John Vince

Verlag: Springer/Star Educational Books Distributor Pvt. Ltd, 2011
ISBN 10: 8184897502 / ISBN 13: 9788184897500
Neu / Softcover / Anzahl: > 20
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Since its invention, geometric algebra has been applied to various branches of physics such as cosmology and electrodynamics, and is now being embraced by the computer graphics community where it is providing new ways of solving geometric problems. It took over two thousand years to discover this algebra, which uses a simple and consistent notation to describe vectors and their products. John Vince, best-selling author of a number of books, tackles this new subject in his usual inimitable style, and provides an accessible and very readable introduction. The ?rst ?ve 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 re?ections, 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. About the Author John Vince, M.Tech., PhD., DSc., Emritus Professor in Digital Media, Bournemouth University, UK. Table of Contents Introduction Elementary Algebra Complex Algebra Vector Algebra Quaternion Algebra Geometric Conventions Geometric Algebra the Geometric Product Re? ections and Rotations - Geometric Algebra and Geometry Conformal Geometry Applications of Geometric Algebra Programming Tools for Geometric Algebra Conclusion. Printed Pages: 268. Buchnummer des Verkäufers 49203

Bibliografische Details

Titel: Geometric Algebra for Computer Graphics
Verlag: Springer/Star Educational Books Distributor Pvt. Ltd
Erscheinungsdatum: 2011
Einband: Softcover
Zustand: New

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John Vince
Verlag: Springer-Verlag Gmbh Apr 2008 (2008)
ISBN 10: 1846289963 ISBN 13: 9781846289965
Neu Anzahl: 1
(Einbeck, Deutschland)

Buchbeschreibung Springer-Verlag Gmbh Apr 2008, 2008. Buch. Buchzustand: Neu. 245x184x20 mm. Neuware - 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. The author tackles this complex subject 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. Introductory chapters 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. 256 pp. Englisch. Artikel-Nr. 9781846289965

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