Multiplication of quaternion numbers

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From: David Beasley
Date: Mon, 14 Dec 1992 22:17

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Quaternion numbers can be quite handy for representing points in 3-D
space. The multiplication of one quaternion by another performs the 
job of 3-D rotation. But since quaternions are 4-component numbers,
a trivial algorithm requires 16 real-number multiplications to be done.

However, I have devised an algorithm which achieves quaternion
multiplication with only 10 real-number multiplications. Does anyone
know if an algorithm such as this has been published before, or have
I discovered something new here?

I'd be interested to hear from anyone using quaternions for 3-D
manipulations.


David Beasley                          (David.Beasley@cm.cf.ac.uk)    
Department of Computing Mathematics 
University of Wales College of Cardiff                          __o
PO Box 916                                                      \<,   
CARDIFF    CF2 4YN                         ___________________()/ ()___  

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Path: arc1-ca.pugleaf.net!sparky!uunet!gatech!mailer.cc.fsu.edu!sun13!cm.cf.ac.uk
From: David.Beasley@cm.cf.ac.uk (David Beasley)
Newsgroups: comp.graphics.research
Subject: Multiplication of quaternion numbers
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Date: 14 Dec 92 22:17:08 GMT
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