3D paraboloid plotting help

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

[darova]

Plot ellipsoid as usually, use rotate to rotate the object

[Wajahat Farrukh]

there is the problem, i am unable to plot eppilsoid. :(

could you help me in the code to plot ellipsoid?

Answer 1

[Vashist Hegde]

You may find this usefull in plotting an ellipsoid-

https://www.mathworks.com/help/matlab/ref/ellipsoid.html

Answer 2

[Luis Coria]

%%%%%%%%%%% 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