Plot a best fit ellipse on a polar data set

I have a data set with 7 data values seperated by 15 degrees (## @ 0 degrees, ## @ 15 degrees, ## @ 30 degrees ... up to 90 degrees). I plotted them on a polar scattergram. I would like to fit an ellipse to my data but am unsure the best way to do it. I would like the ellipse to be fit all the way around the polar graph (in all 4 quadrants). Would something like this be possible even with all my data points in the first quadrant (0-90)? and how would be the best way to do this?

[Mathieu NOE]

hello

I am not sure that will work without further constraints or assumptions... like are we thinking about an ellipse which axes must be parallel to the figure axes ?

Answer 1

[Matt J]

Yes, it's possible, although the the quality of the fit will be affected by how clustered and how noisy your data is. For the fitting, you can convert your data to cartesian coordinates and apply ellipticalFit() from this downloadable package,

https://www.mathworks.com/matlabcentral/fileexchange/87584-object-oriented-tools-for-fitting-conics-and-quadrics