By Andrew J. Hanson

brought one hundred sixty years in the past as an try to generalize complicated numbers to better dimensions, quaternions at the moment are famous as essentially the most vital ideas in smooth special effects. they provide a robust option to symbolize rotations and in comparison to rotation matrices they use much less reminiscence, compose quicker, and are clearly fitted to effective interpolation of rotations. regardless of this, many practitioners have refrained from quaternions as a result of 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 publication is a clean viewpoint on quaternions. the 1st a part of the booklet makes a speciality of visualizing quaternions to supply the instinct essential to use them, and comprises many illustrative examples to inspire why they're important—a attractive creation to these desirous 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. ultimately, for these short of the total tale of the math in the back of quaternions, there's a mild 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 pupil in special effects, visualization, or leisure computing.
  • Covers either non-mathematical and mathematical techniques to quaternions.

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

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