Given the set of n circles. For each circle we know coordinate of it’s center, (x_i,y_i), radius (r_i) and the uncertainty of the radius ?_r_i. I want to find a line “ax + b”, that will best fit these circles. For this I use the ?2 estimator defined as follows
Here d_i is the distance between the line and the circle.
Correct a and b of the line are such that minimizes ?2.
With the standard way, I got a derivative and tried to solve it, but I didn't see an analytic solution.
I was wondering if someone has knows the the solution, and if there is an analytic solution?
The attached plot should make it more clear what the question is.
Here d_i is the distance between the line and the circle.
Correct a and b of the line are such that minimizes ?2.
With the standard way, I got a derivative and tried to solve it, but I didn't see an analytic solution.
I was wondering if someone has knows the the solution, and if there is an analytic solution?
The attached plot should make it more clear what the question is.
