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Visualizing Quaternions
book

Visualizing Quaternions

by Andrew J. Hanson
February 2006
Intermediate to advanced content levelIntermediate to advanced
600 pages
8h 57m
English
Elsevier Science
Content preview from Visualizing Quaternions

Appendix F. Quaternion Methods

This appendix presents a family of miscellaneous algorithms and methods we have found useful from time to time.

Quaternion Logarithms and Exponentials

If we parameterize a quaternion in a simplified way (with 0 ≤ θ < 2π) to cover the entire S3 as Quaternion Logarithms and Exponentials), we can show using the quaternion algebra that this parameterization of S3 follows from the exponential series

Quaternion Logarithms and Exponentials

The logarithm of a structure is the object that, when exponentiated, produces the generic structure. Hence, we must have

Raising a quaternion to a power is defined via ...

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Publisher Resources

ISBN: 9780120884001