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August 14th, 2018, 02:34 AM   #1
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Computing the error of a function of the fit parameters

Hi, I'm using the Finite Center of Rotation method described at the end of this thread to estimate the center of rotation and angle between two vectors A, B of corresponding points in the plane.

Effectively, it is just a least-squares method with complex numbers to find the x which best minimizes |A - Bx| = (A-Bx)* (A-Bx) . The best-fit rotation is then simply arg(x)=arctan(imag(x)/real(x)). So far so good.

Now I also want a measure of quality in terms of rotation, i.e. as an error of the angle, and I'm not sure how to achieve that from the pseudo-inverse of B, the vector of residuals or otherwise. Any idea ?
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