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rigid body combined rotation/translation with Mathematica

• To: mathgroup at smc.vnet.net
• Subject: [mg22315] rigid body combined rotation/translation with Mathematica
• From: "Daniel Kovach" <daniel.j.kovach at boeing.com>
• Date: Thu, 24 Feb 2000 03:01:28 -0500 (EST)
• Organization: The Boeing Company
• Sender: owner-wri-mathgroup at wolfram.com

Hello all,

I have a problem trying to compare the (2D) results of a coordinate
measuring machine inspection (CMM) of a grid of data points to the actual
design values of the points.  Minute errors in positioning of the workpiece
result in deviations in the datasets.

Has anyone come across a mathematica notebook (or other algorithm) which
would provide the (x,y,theta) values which minimize the positioning errors
Sqrt[(Xdes-Xact)^2+(Ydes-Yact)^2]?

Any input would be appreciated