MATLAB: Plotting a section of a hemisphere using parametric equations

hemisphereMATLABmeshgridparametric equationsplotsurf

Using:

theta=[0:0.1:2*pi];
phi=[0:0.1:pi/4];
R=1;
[THETA,PHI]=meshgrid(theta,phi);
X1=R.*cos(THETA).*sin(PHI);
Y1=R.*sin(THETA).*sin(PHI);
Z1=R.*cos(PHI);
surf(X1,Y1,Z1)

I get a section of a sphere, but a slit is missing from the plot. How do i fill in the slit?

Best Answer

Hi Marcus

theta=[0:0.01:1]*2*pi;

ensures that the value of 2*pi is reached.

Related Solutions

MATLAB: Create a hemisphere with slats

There is no need to write ugly, slow code using loops. MATLAB code is much more beautiful than that! This should get you started:

n = 12;
p = 30;
%



tht = linspace(0,pi,1+p).';
ang = linspace(0,pi,2*n);
%
x = cos(tht)*ones(1,2*n);
y = sin(tht)*cos(ang);
z = sin(tht)*sin(ang);
%
V = [x(:),y(:),z(:)];
F = bsxfun(@plus,(1:p).',0:2*(p+1):size(V,1)-1);
F = F(:);
F(:,2:4) = [1+F,F+2+p,F+1+p];
%
patch('Faces',F, 'Vertices',V, 'FaceColor','green', 'EdgeColor','none')
view(3)

Creates this:

MATLAB: How to define a function that evaluates in input

function y=T(theta_Degree)
theta=theta_Degree*pi/180;
y=[cos(theta)^2 sin(theta)^2 2*cos(theta)*sin(theta);sin(theta)^2 cos(theta)^2 -2*cos(theta)*sin(theta);-cos(theta)*sin(theta) cos(theta)*sin(theta) cos(theta)^2-sin(theta)^2];
end

Then type in command line

T(40)

and see the results.

Best Answer

Related Solutions

MATLAB: Create a hemisphere with slats

MATLAB: How to define a function that evaluates in input

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