Optimization of a Fitted Circle

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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

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Jan
Jan 2011-7-7
Please inspect the methods published in the FEX: Search FEX for "fit circle". You will find 6 corresponding functions.

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