How to Draw an ellipsoid between two 3d coordinates

Hi, I want to draw a 3d ellipsoid between two 3d coordinates x1,y1,z1 and x2,y2,z2. The ellipsoid need to be rotated so its top and buttom touch the coordinates. It should have height of r derived from square root and thickness of r/10.Any help please.so far I manage to draw the ellipsoid using ellipsoid() and draw it using surf in the center of axis. I dont know how to calculate and add the required angles to rotate it and the offset.Thanks.

Answer 1

[darova]

Use rotate to rotate the ellipsoid

[yaacov yehuda-zada]

How do I calculate the required angles for the rotation? I only have the points. Thanks.

[darova]

Use cart2sph

p1 = [1 2 1];       % first point
p2 = [2 5 1];       % second point
[az,el,r] = cart2sph(p2-p1);    % find two angles and distance

Answer 2

[Matt J]

Another way would be to use the ellipsoidalFit.groundTruth method in this File Exchange submission.

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

P1=[x1,y1,z1]; P2=[x2,y2,z2];

center=(P1+P2)/2;
r=norm(P2-P1)/2;
ABC=[r, r/10 , r/10];
[az,el,~]=cart2sph(x2-x1,y2-y1,z2-z1);

plot( ellipsoidalFit.groundtruth([],center,ABC,[az,-el,0]*180/pi)  );