I am looking for a formula to calculate the radii of an ellipsoid from coordinates of non-coplanar locii on its surface.
If we know the x, y and z coordinates of n non-coplanar points on the surface of an ellipsoid, I would like a formula to calculate three radii of the ellipsoid (a, b and c), therefore determining a, b and c in the following equation for an ellipsoid:
In this, I define n to be the least number of non-coplanar points on the surface of the ellipsoid needed to determine radii a b and c. (See attached image for an example of these surface points connected by a line.)
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