Quaternions, Interpolation and Animation
by Erik B. Dam, Martin Koch, Martin Lillholm
Publisher: University of Copenhagen 1998
Number of pages: 103
The main topics of this technical report are quaternions, their mathematical properties, and how they can be used to rotate objects. We introduce quaternion mathematics and discuss why quaternions are a better choice for implementing rotation than the well-known matrix implementations.
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by Douglas B. Sweetser
Quaternions, like the real numbers, can be added, subtracted, multiplied, and divided. They are composed of four numbers that work together as one. This book contains a brief summary of important laws in physics written as quaternions.
by Alexander Macfarlane - John Wiley & Sons
Contents: Addition of Coplanar Vectors; Products of Coplanar Vectors; Coaxial Quaternions; Addition of Vectors in Space; Product of Two Vectors; Product of Three Vectors; Composition of Quantities; Spherical Trigonometry; Composition of Rotations.
by Arthur S. Hathaway - Project Gutenberg
The book is prepared for average students with a thorough knowledge of the elements of algebra and geometry, and is believed to be a simple and elementary treatment founded directly upon the fundamental ideas of the subject.
by Robert B. Easter - viXra.org
This book provides an introduction to quaternions and Clifford geometric algebras. Quaternion rotations are covered extensively. A reference manual on the entities and operations of conformal (CGA) and quadric geometric algebras (QGA) is given ...