formula for best approximation for center of 2D rotation with small angles

Posted by RocketSurgeon on Stack Overflow See other posts from Stack Overflow or by RocketSurgeon
Published on 2010-04-13T04:59:20Z Indexed on 2010/04/13 5:02 UTC
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This is not a homework. I am asking to see if problem is classical (trivial) or non-trivial. It looks simple on a surface, and I hope it is truly a simple problem.

  1. Have N points (N >= 2) with coordinates Xn, Yn on a surface of 2D solid body.
  2. Solid body has some small rotation (below Pi/180) combined with small shifts (below 1% of distance between any 2 points of N). Possibly some small deformation too (<<0.001%)
  3. Same N points have new coordinates named XXn, YYn
  4. Calculate with best approximation the location of center of rotation as point C with coordinates XXX, YYY.

Thank you

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