3D plotting of given parametric equations

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Ahmet Turan
Ahmet Turan 2022-6-21
评论： Ahmet Turan 2022-6-22
Hi everyone, I need 3D plot of given parametric equations:
Here also R varies between [25 75], i tried to use meshgrid and ndgrid functions but had a problem using them with varying 3 variables U, V and R. How can i plot this? Also, 3D plot should look like this: (Don't mind numbers they are different in my case)
Thank you in advance

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KSSV
KSSV 2022-6-21
Ran in:
m = 50 ; n = 50 ;
p = 5 ;
u = linspace(0,pi,m) ;
v = linspace(0,2*pi,n) ;
r = linspace(25,75,p) ;
[U,V,R] = meshgrid(u,v,r) ;
Z = R.*cos(U).*cos(V) ;
Y = R.*cos(U).*sin(V) ;
X = sqrt(R.^2-Z.^2-Y.^2);
figure
hold on
for i = 1:p
mesh(abs(X(:,:,i)),Y(:,:,i),Z(:,:,i))
end
view(3)
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Ahmet Turan
Ahmet Turan 2022-6-22
Ran in:
a = 0.0201; b = 0.0924;
alpha = 0.1063; beta = 0;
u = linspace(0,pi);
v = linspace(0,2*pi);
r = linspace(25,75);
[U V R] = meshgrid(u,v,r);
Z = -a*R.*cos(U).*cos(V);
Y = b*R.*cos(U).*sin(V);
X = sqrt((R.^2)-(Z.^2)-(Y.^2));
figure
hold on
for i = 1:100
s = surf(X(:,:,i),Y(:,:,i),Z(:,:,i));
direction = [0 1 0];
rotate(s,direction,-rad2deg(alpha));
direction = [0 0 1];
rotate(s,direction,rad2deg(beta));
end
view(3)
xlabel('x');
ylabel('y');
zlabel('z');
grid on
shading interp
colorbar
hold off
Ahmet Turan
Ahmet Turan 2022-6-22
I am trying to get rid of wiggly side surfaces now, any help would be appreciated.

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