MATLAB: How to plot a sphere using the cylinder function

cylinder

I know that I can easily plot a sphere using the sphere function, but I am trying to do it with the cylinder function. This is what I have so far, but I can't seem to get the function right.

clc;
x1 = linspace(0,pi,100);
y1 = linspace(0,1,100);
z1 = linspace(0,2,100);
[x2, y2,z2]=cylinder(x.^2+y.^2),200);
figure(2);
surf(x2, y2,z2);
xlabel('X');
ylabel('Y');
zlabel('Z');
colormap(jet)

Best Answer

x = linspace(0, 1, 20);
[X, Y, Z] = cylinder(sqrt(x .* (1 - x)));
surf(X, Y, Z);
axis equal

The first input determines the radius. Then h^2 = p*q helps.

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MATLAB: How to show a deformation of a sphere

Keep track of the x, y, and z-lims or the axis-limits. Something like this:

tiledlayout(1,2);
[X, Y, Z] = ellipsoid(0,0,0,1,1,1,40);;
surf(nexttile,X,Y,Z);
axis equal;
ax1 = axis;
title('Before')
mesh(nexttile,X/2,Y/2,Z/2);
axis equal
title('Then')
axis(ax1)

You might have to do the same for the viewing-angles too, but the same procedure applies.

HTH

MATLAB: Two planes cutting each other

One option is to set x, y, and z values to NaN if they do not fall in the appropriate region:

[x1, z1] = meshgrid(linspace(0,1,500));
y1 = sqrt(x1);
[x2, y2] = meshgrid(linspace(0,1,500));
z2 = 1 - y2;
i1 = y1+z1>1;
i2 = y2<sqrt(x2);
x1(i1) = NaN;
y1(i1) = NaN;
z1(i1) = NaN;
surf(x1,y1,z1,'FaceColor','b','FaceAlpha',0.5,'EdgeColor','none');
hold on;
x2(i2) = NaN;
y2(i2) = NaN;
z2(i2) = NaN;
surf(x2,y2,z2,'FaceColor','b','FaceAlpha',0.3,'EdgeColor','none');
view([120 30])
zlim([0 1.5]);
ylim([0 1.5]);
xlim([0 1.5]);
xlabel('x','FontSize',20);
ylabel('y','FontSize',20);
zlabel('z','FontSize',20);

Best Answer

Related Solutions

MATLAB: How to show a deformation of a sphere

MATLAB: Two planes cutting each other

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