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Morgan Kaufmann Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology)

Name: Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology)
Brand: Morgan Kaufmann

20784948

Graphic Arts

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Description

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. Richly illustrated introduction for the developer, scientist, engineer, or student in computer graphics, visualization, or entertainment computing. Covers both non-mathematical and mathematical approaches to quaternions.

Product Specifications

Brand: Morgan Kaufmann
Model: 20784948
Format: hardcover
ASIN: 0120884003
Category: Books > Subjects > Arts & Photography > Graphic Arts
Domain: Amazon UK
Release Date: 10 February 2006
Listed Since: 29 December 2006

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Morgan Kaufmann Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology)

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