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on 14 Oct 2021
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a=2.5;
b=1;
k=.4;
[t,z]=meshgrid(linspace(0,2*pi,1000),linspace(-b,b,1000));
r=sqrt((1-b*z.^2)/a./(1+k*z));
I=image;
I=I.CData;
l=surf(r.*cos(t),r.*sin(t),z,'edgecolor','none');
colormap(flip(colorcube));
axis equal off;
material shiny;
camlight;
lighting gouraud;
view(4,28);
l.CData= imresize(I,1000/64);
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