MATLAB: How to fill in the required areas

stereographic

Hello everyone! I try to fill areas as show on picture (as example below). The code to construct this diagramm is next:
n = 10;
m = 20;
for i = 1:n
    rectangle('Position',[-i*0.5 -i*0.5 i i],'Curvature',[1 1]);
end
axis equal;
step = 2*pi/(m);
for j = 1:m/2
    h(j) = sin((j-1)*step)*n/2;
    w(j) = cos((j-1)*step)*n/2;
    line([-w(j) w(j)], [-h(j) h(j)],'Color','red');
end
Numbers n and m will be changed. How do I fill in the required areas? In future this graph will be in 3D format, where white color is higher (z = 1), black color z = 0.

Best Answer

Currently, I have managed to get this type of diagram, but it requires quite a lot of computer power and was built directly through a set of filled polygonal regions. If anyone has any suggestions, please email me ggw1996fti@gmail.com
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