Items related to Geometric Algebra for Computer Graphics
Synopsis
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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From the Back Cover
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 including ‘Geometry for Computer Graphics’ and ‘Vector Analysis for Computer Graphics’) tackles this new subject in his usual inimitable style, and provides an accessible and very readable introduction.
The first five 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 reflections, 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.
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Geometric Algebra for Computer Graphics
Published by
Springer London, Limited, 2008
ISBN 10: 1846289963
ISBN 13: 9781846289965
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Geometric Algebra for Computer Graphics
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Geometric Algebra for Computer Graphics
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Springer London Apr 2008, 2008
ISBN 10: 1846289963
ISBN 13: 9781846289965
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Buch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - 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. 272 pp. Englisch. Seller Inventory # 9781846289965
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Geometric Algebra for Computer Graphics
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Springer-Verlag New York Inc, 2008
ISBN 10: 1846289963
ISBN 13: 9781846289965
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Geometric Algebra for Computer Graphics
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Geometric Algebra for Computer Graphics
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Filled with lots of clear examplesVery well illustratedTackles the complex subject of geometric algebra and explains, in detail, how the algebra operates together with its relationship with traditional vector analysisGeometric al. Seller Inventory # 4283110
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GEOMETRIC ALGEBRA FOR COMPUTER GRAPHICS (HB 2008)
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Geometric Algebra for Computer Graphics
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Geometric Algebra for Computer Graphics
Published by
Springer London, Springer London Apr 2008, 2008
ISBN 10: 1846289963
ISBN 13: 9781846289965
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Hardcover
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
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Buch. Condition: Neu. 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.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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 272 pp. Englisch. Seller Inventory # 9781846289965
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Geometric Algebra for Computer Graphics
Published by
Springer London, Springer London, 2008
ISBN 10: 1846289963
ISBN 13: 9781846289965
New
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Seller: AHA-BUCH GmbH, Einbeck, Germany
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Seller Inventory # 9781846289965
Quantity: 1 available