MATLAB: How to plot projection of function in spherical cordinates (surface) in xy,yz or zx plane in matlab

MATLABprojectionspherical 3d plot

fx= 1/sin(theta)^2 cos(phi)^4 + cos(theta)^2cos(phi)^2

i want to plot spherical 3d surface plot and to show its projection on x,y or z plane

Best Answer

[theta,phi] = ndgrid(0:.1:2*pi, 0:.1:2*pi);
fx = 1./sin(theta).^2.*cos(phi).^4 + cos(theta).^2.*cos(phi).^2;
[X,Y,Z] = sph2cart(theta,phi,15);
surf(X,Y,Z);

Related Solutions

MATLAB: Shaded surface

St11=100;
Sc11=St11*2/3;
St22=80;
Sc22=St22*2/3;
S=60;
i1 = 0;
r = NaN(101,51);
for phi=0:pi/50:2*pi
    i1 = i1+1;
    i2 = 0;
    if cos(phi)>=0
        X=St11;
    else
        X=Sc11;
    end
    if sin(phi)>=0
        Y=St22;
    else
        Y=Sc22;
    end
    for psi=-pi/2:pi/50:pi/2
        i2=i2+1;
        F=@(r0)(((cos(phi)*cos(psi)*r0)/X)^2-(cos(phi)*cos(psi)*r0*sin(phi)*cos(psi)*r0)/(X^2)+((sin(phi)*cos(psi)*r0)/Y)^2+(r0*sin(psi)/S)^2-1)^2;
        r(i1,i2)=abs(fminsearch(F,0));
    end
end
[psi,phi] = meshgrid(-pi/2:pi/50:pi/2,0:pi/50:2*pi);
x=cos(psi).*cos(phi).*r;
y=cos(psi).*sin(phi).*r;
z=sin(psi).*r;
surf(x,y,z)

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: Shaded surface

MATLAB: How to define a function that evaluates in input

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