Paper Title: Quaternion Fourier Transform for Character Motions

About: Support code for Quaternion Fourier Transform

Minimal working example of the Forward and Inverse "Discrete quaternion Fourier transform".

one-dimensional implementation - with the quaternion exponential on the `LEFT' 
(i.e., two possible implementation for a 1D case - left and right).

Note: this code is not optimised at all and is written for clarity not speed


A self contained demo - simplified test code for the quaternion fourier transform.
Doesn't require any external libraries/operators (e.g., vector/matrix/quaternion) so should
be easy to disect, extend and optimise.