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Item Details
Title: VISUALIZING QUATERNIONS
By: Andrew J. Hanson
Format: Hardback

List price: £74.99


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ISBN 10: 0120884003
ISBN 13: 9780120884001
Publisher: ELSEVIER SCIENCE & TECHNOLOGY
Pub. date: 29 December, 2005
Series: The Morgan Kaufmann Series in Interactive 3D Technology
Pages: 600
Description: Focuses on visualizing quaternions to provide the intuition necessary to use them. This work covers the advanced applications, including quaternion curves, surfaces, and volumes. It also includes an introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions.
Synopsis: Introduced 160 years ago as an attempt to generalize complex numbers to higher dimensions, quaternions are now recognized as one of the most important concepts in modern computer graphics. They offer a powerful way to represent rotations and compared to rotation matrices they use less memory, compose faster, and are naturally suited for efficient interpolation of rotations. Despite this, many practitioners have avoided quaternions because of the mathematics used to understand them, hoping that some day a more intuitive description will be available.The wait is over. Andrew Hanson's new book is a fresh perspective on quaternions. The first part of the book focuses on visualizing quaternions to provide the intuition necessary to use them, and includes many illustrative examples to motivate why they are important-a beautiful introduction to those wanting to explore quaternions unencumbered by their mathematical aspects. The second part covers the all-important advanced applications, including quaternion curves, surfaces, and volumes. Finally, for those wanting the full story of the mathematics behind quaternions, there is a gentle introduction to their four-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions.
Illustrations: Approx. 125 Illustrations; Illustrations, unspecified
Publication: US
Imprint: Morgan Kaufmann Publishers In
Returns: Returnable
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