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Subject: Re: Directional Cosine Matrix
Date: Mon, 23 Jun 2008 01:31:02 +0000 (UTC)
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"Chia Khai Low" <kaiserwulf@gmail.com> wrote in message <g3h8gm$jd4
$1@fred.mathworks.com>...
> Thank you so much for your comprehensive and yet quick .........
> Chia

Hello Chia,

  This is to let you know that I am now able to prove rigorously that the solution 
I gave you in the second of my articles in this thread does in fact provide the 
best orthogonal (rotation/reflection) matrix R in the least squares sense between 
one set of points and another, which means that you can now use this method 
with confidence.  The proof involves the Schwartz-Cauchy inequality.  As you 
may recall, I was unable to come up with a proof earlier.

  I hope for my peace of mind you will completely abandon the method I 
proposed in the first article involving a search through eight possibilities.  That 
is not the right way to do the problem.

Roger Stafford