Optimization of a Fitted Circle

Hi,

I'll try to explain this the best I can.. to start off, I am inexperienced with optimization techniques. I was asked to make an optimization program for the fit of a circle through random radii, by using a minimum of the maximum distance between actual and nominal approach. Can somebody instruct me on how to do this? I'll give the random data and the circle coordinates in code:

r = 10 + 0.1*rand(1000,1);              % 1000 random radii
theta = linspace(0,2*pi,1000)';         % angles
x = r.*cos(theta); y = r.*sin(theta);   % circle centred around the origin

Thanks

Answer 1

[Jan]

Please inspect the methods published in the FEX: Search FEX for "fit circle". You will find 6 corresponding functions.