How to find an minimal ellipse that encompass a set of points that have been projected into a plane in 3D space?

Dear all,

I have a set of 3d coordinates (a 36 by 3 matrix) that represent 36 points in 3D space. by using the function affine_fit, I have fitted them into a plane. Now I want to find an minimal ellipse that encompass all these points in the plane. How should I do that?

Thanks in advance.

Best regards.

Yeping Sun

Answer 1

[Matt J]

I haven't used it, but this FEX file seems reasonably well-received

http://www.mathworks.com/matlabcentral/fileexchange/9542-minimum-volume-enclosing-ellipsoid

[Yeping Sun]

The MinVolellipse function works well on the points before they are projected to a plane, but after they are projected to a plane, this function just gives error.