3d surface plot of an elliptic shape

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Saim 2022-12-14

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https://ww2.mathworks.cn/matlabcentral/answers/1878362-3d-surface-plot-of-an-elliptic-shape

编辑： John D'Errico 2022-12-14

I have the values of x y and z in vectors, z is found by a mathematical method. The values of x and y are based on an ellipse equation (which means I can't use linspace(min,max) on x and y because it takes points out of the elliptic boundary).

I have to do a 3d plot, can someone help?

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Fifteen12 2022-12-14

Have you tried ellipsoid? https://www.mathworks.com/help/matlab/ref/ellipsoid.html

Saim 2022-12-14

can't use it, value of x and y are also saved in a vector.

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Answer 1

John D'Errico 2022-12-14

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https://ww2.mathworks.cn/matlabcentral/answers/1878362-3d-surface-plot-of-an-elliptic-shape#answer_1128087

编辑：John D'Errico 2022-12-14

在 MATLAB Online 中打开

If all you want to do is plot the ellipsoid, then you are doing it the wrong way. Just use fimplicit3. You never need to compute x,y, and z at all. For example...

C = [1 2 3];

H = randn(3);H = H'*H; % just insures that H is SPD, so the result will indeed be an ellipse.

syms x y z

E = ([x,y,z] - C)*H*([x,y,z] - C).' - 1;

fimplicit3(E)

axis equal

So all you need to do is feed the defining equation to fimplicit3.