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

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Yeping Sun 2016년 9월 30일

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https://kr.mathworks.com/matlabcentral/answers/305178-how-to-find-an-minimal-ellipse-that-encompass-a-set-of-points-that-have-been-projected-into-a-plane

댓글: Yeping Sun 2016년 10월 3일

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

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Answer 1

Matt J 2016년 9월 30일

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https://kr.mathworks.com/matlabcentral/answers/305178-how-to-find-an-minimal-ellipse-that-encompass-a-set-of-points-that-have-been-projected-into-a-plane#answer_236778

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

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

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Yeping Sun 2016년 10월 3일

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.

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