3D paraboloid plotting help

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Wajahat Farrukh
Wajahat Farrukh 2020-7-1
编辑： DGM 2024-2-21
Hello everyone,
I have a 3D plane on which i would like to draw a 3D elliptic paraboloid. The equation for elliptic paraboloid is given below
z/c=(x.^2)/(a.^2) + (y.^2)/(b.^2);
and with demonstration of parameters are given in the link
https://demonstrations.wolfram.com/EllipticParaboloid/
i am looking for a function or script to plot a elliptic paraboloid on a specific location (x and y axis) on my 3D axis plane. with a specified height of paraboloid.
i have attached my 3D axis, x- and y-axis are either theta or phi. and the height of paraboloid is the RCS axis.
i have attached an examplary figure of the desired output. elliptic paraboloid on a specific x- and y- axis with specified height value.
I tried to do it myself , then tried to look on MATLAB forums but could not find.
Thank alot
Best Regards
  2 个评论
darova
darova 2020-7-2
Plot ellipsoid as usually, use rotate to rotate the object
Wajahat Farrukh
Wajahat Farrukh 2020-7-2
there is the problem, i am unable to plot eppilsoid. :(
could you help me in the code to plot ellipsoid?

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回答（2 个）

Vashist Hegde
Vashist Hegde 2020-7-3
You may find this usefull in plotting an ellipsoid-
https://www.mathworks.com/help/matlab/ref/ellipsoid.html
Luis Coria
Luis Coria 2024-2-21
编辑：DGM 2024-2-21
%%%%%%%%%%% Eliptic Paraboloid -(X1.^2+Z1.^2)/2-1<=Y1<=(X1.^2+Z1.^2)/2+1;
[X1,Z1] = meshgrid(-10:0.5:10,-10:0.5:10);
Y1=(X1.^2+Z1.^2)/2+1;
surf(X1,Y1,Z1,'FaceColor',[0.9412 0.9412 0.9412],'FaceAlpha',1,'LineWidth',0.5);
hold on
Y1=-(X1.^2+Z1.^2)/2-1;
surf(X1,Y1,Z1,'FaceColor',[0.9412 0.9412 0.9412],'FaceAlpha',1,'LineWidth',0.5);
%%%%%%%%%%% End Eliptic Paraboloid
Maybe this code is useful for you, that gives

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