From: Matt J on
"Roger Stafford" <ellieandrogerxyzzy(a)mindspring.com.invalid> wrote in message <hpls5i$5$1(a)fred.mathworks.com>...

> If you are troubled by the reflection aspect or if you don't have access to the Statistics Toolbox, there was a thread in this newsgroup a couple of years ago in which I outlined a procedure that performs the same computation as in 'procrustes' except that no reflection is allowed.
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There is also my absolute orientation tool, which does the same and with the same restriction (no reflection).

http://www.mathworks.com/matlabcentral/fileexchange/26186-absolute-orientation-horns-method

It is for 3D, but obviously 2D data can easily be embedded in a 3D version of the problem.
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