How to plot elliptic function (x,y,z) in MATLAB

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Jong Hyun Lee
Jong Hyun Lee 2022-3-26
回答： Chanchal Dass 2022-9-23
I want to plot a elliptic function (x^2+y^2+z=16) on matlab with limits 0<=x<=2 and 0<=y<=2

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回答（3 个）

Voss
Voss 2022-3-26
Ran in:
% 0<=x<=2 and 0<=y<=2
x = linspace(0,2,20);
y = linspace(0,2,20);
[X,Y] = meshgrid(x,y);
% x^2+y^2+z=16
Z = 16-X.^2-Y.^2;
surf(X,Y,Z);
grid on
view([60 30]);
xlabel('x')
ylabel('y')
zlabel('z')
Sam Chak
Sam Chak 2022-3-26
编辑：Sam Chak 2022-3-26
Hi @Jong Hyun Lee
Please check if it looks like this:
meshpoints = 41;
Lb = 0; % lower bound
Ub = 2; % upper bound
step = (Ub - Lb)/(meshpoints - 1);
[x, y] = meshgrid(Lb:step:Ub, Lb:step:Ub);
z = 16 - (x.^2 + y.^2); % the surface equation
surf(x, y, z)
view([135 23]);
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Sam Chak
Sam Chak 2022-3-26
编辑：Sam Chak 2022-3-26
Hi @Jong Hyun Lee
Meshpoints specifies the number of points and meshgrid function creates the number of points between Lower bound and the Upper bound in the x- and y-axes. If the number of mesh points is too small, it will create a very coarse (rough) texture. If the number of mesh points is too big, it will create a very dense (thick) texture. Adjust the number and you will experience it.
https://www.mathworks.com/help/matlab/ref/meshgrid.html
The surf function creates the surface plot. You can also use the mesh function, if you want to create the surface that has solid edge colors but no face colors.
https://www.mathworks.com/help/matlab/ref/surf.html
https://www.mathworks.com/help/matlab/ref/mesh.html

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Chanchal Dass
Chanchal Dass 2022-9-23
Is it an elliptic surface?

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