Fitting an ellipsoid to 3D data points

Question

I have a large set of 3D data points to which I want to fit to an ellipsoid.

My maths is pretty poor, so I\'m having trouble implementing the least squares method withou

Answer 1

We developed a set of Matlab and Java codes to fit ellipsoids here: https://github.com/pierre-weiss

You can also check our open-source Icy plugin. The following tutorial can be helpful: https://www.youtube.com/endscreen?video_referrer=watch&v=nXnPOG_YCxw

Note: most of the existing codes fit a generic quadric and do not impose an ellipsoidal shape. To get more robustness, you need to go to convex programming rather than just linear algebra. This is what is done in the indicated sources.

Cheers, Pierre