Download PDF by Andrew J. Hanson: Visualizing Quaternions (The Morgan Kaufmann Series in

By Andrew J. Hanson

ISBN-10: 0120884003

ISBN-13: 9780120884001

brought a hundred and sixty years in the past as an try and generalize advanced numbers to better dimensions, quaternions at the moment are famous as the most vital recommendations in sleek special effects. they provide a strong approach to characterize rotations and in comparison to rotation matrices they use much less reminiscence, compose quicker, and are certainly fitted to effective interpolation of rotations. regardless of this, many practitioners have kept away from quaternions as a result arithmetic used to appreciate them, hoping that a few day a extra intuitive description can be available.
The wait is over. Andrew Hanson's new booklet is a clean viewpoint on quaternions. the 1st a part of the e-book makes a speciality of visualizing quaternions to supply the instinct essential to use them, and contains many illustrative examples to encourage why they're important—a appealing advent to these eager to discover quaternions unencumbered via their mathematical points. the second one half covers the all-important complex purposes, together with quaternion curves, surfaces, and volumes. eventually, for these short of the total tale of the maths at the back of quaternions, there's a light creation to their 4-dimensional nature and to Clifford Algebras, the all-encompassing framework for vectors and quaternions.

  • Richly illustrated advent for the developer, scientist, engineer, or scholar in special effects, visualization, or leisure computing.
  • Covers either non-mathematical and mathematical ways to quaternions.

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Visualizing Quaternions (The Morgan Kaufmann Series in Interactive 3D Technology) by Andrew J. Hanson


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