ORTHOGONAL TRANSFORMATIONS BY QUATERNIONS.
NAVAL MISSILE CENTER POINT MUGU CALIF
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A discussion on the application of quaternions to the transformation of rectangular cartesian coordinate systems is presented. The discussion is didactic in nature, intended to introduce this particular application of quaternions. Towards this end, the quaternion transformation is related to both matrix and dyad transformations. Quaternion transformations offer advantages in special cases over the more commonly used direction cosine transformation and the Eulers angles transformation. For example, a quaternion transformation requires fewer elements than a direction cosine transformation and it is not subject to the singularities of an Eulers angles transformations. Author
- Theoretical Mathematics