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Fitting to Conic Sections

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J.D. Maldonado
F.X.Timmes, my vitae

Lots of codes exist for fitting a set a data to a straight line. How about fits to the other conic sections? Strange as it may sound, this is an active field of research in computer vision in 2009. So, I deleted my old codes and am giving this page a fresh start.

Sometimes its desirable to fit data to a given conic section rather than a general conic. If you want an ellipse try using fit_ellipse.f90, or if you want a hyperbola try using fit_hyperbola.f90.

These programs will generate noisy (x,y) data for any of the conic sections (interesting problem in its own right), fit the data to the specified conic and report key attributes such as the center and foci coordinates, lengths of the semi-major and semi-minor axes, rotatation of the conic.



click for a pdf showing the full rotation to noiseless data
for a pdf showing the full rotation to noisy data


 



Please cite the relevant references if you publish a piece of work that use these codes, pieces of these codes, or modified versions of them. If you're nice, offer co-authorship of the publication. At best, you'll love these programs so much that you'll send great wads of cash to me.