colormap for facealpha and range

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I have plotted concentric sphere of different radii with different color and different FaceAlpha.
The radius ranges from linspace(1,1/20,10) and FaceAlpha range from logspace(1,0.1,10)./10
If you see carefully small radius of sphere has high FaceAlpha value and larger radius of sphere has low FaceAlpha value. So outer most sphere should have maximum colormap value. But the colormap bar is misleading. Its showing the maximum value in the middle sphere but its not. How should i correct this.
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ankit agrawal
ankit agrawal 2015-8-25
n=10;
r = linspace(20/20,1/20,n);
d = logspace(1,0.1,n)./10;
figure;
axes;
hold on;
[xu,yu,zu] = sphere;
for ii = 1:n
x = xu*r(ii);
y = yu*r(ii);
z = zu*r(ii);
c = ones(size(z))*d(ii);
surf(x,y,z,c,'FaceAlpha',d(n-ii+1),'EdgeColor','none');
end
view(3);
axis equal;
%set(gca,'clim',[-20,20]);
cmap=colormap; n=size(cmap,1);
d = logspace(1,0.1,n)./10;
r = linspace(20,1,n);
for ii=1:n
map(ii,:)=[d(ii),d(ii),d(ii)];
end
colormap(cmap.*map)

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