How to generate points on the surface of an ellipsoid?

Question

Nima 2021-1-6

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https://ww2.mathworks.cn/matlabcentral/answers/710158-how-to-generate-points-on-the-surface-of-an-ellipsoid

编辑： Adam Danz 2021-1-12

I'm looking for a method or Matlab-function to generate some points (eg. equidistant points) on the surface of a ellipsoid. A good function to do this for a sphere is available by mySphere(N). Are there any idea to solve this problem? Thanks

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Answer 1

Uday Pradhan 2021-1-12

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编辑：Uday Pradhan 2021-1-12

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Hi,

I believe you can use the ellipsoid function for this. Example:

[x,y,z] = ellipsoid(0,-0.5,0,6,3.25,3.25);

will create an ellipsoid with centre at (0,-0.5,0) and has semi -axis length (6,3.25,3.25). Now, coming to the points on the surface:

You can utilize the x,y and z variables returned by the function. Basically,

[x(i,j),y(i,j),z(i,j)] %where 1<= i,j <= 21

is a point on the ellipsoid. The 21 faces restriction can be made finer by using an extra argument for "number of faces". I hope this helps!

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Adam Danz 2021-1-12

编辑：Adam Danz 2021-1-12

在 MATLAB Online 中打开

I think this generates equidistant points along the longitudes and within each latitude but not between latitudes and the points definitely aren't equidistant.

[x,y,z] = ellipsoid(0,-0.5,0,6,3.25,3.25);

plot3(x,y,z,'o')

grid on

axis equal

view(2)

set(gca,'xtick',-6:6,'ytick',-4:4)

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