How to plot isosurface of for a wide range of values

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I wish to plot isosurface of my data, But in a wide range of values. For example, MathWork has introduced the following example for one-value isosurface in its help:
[x,y,z,v] = flow;
p = patch(isosurface(x,y,z,v,-3));
isonormals(x,y,z,v,p)
p.FaceColor = 'red';
p.EdgeColor = 'none';
daspect([1 1 1])
view(3);
axis tight
camlight
lighting gouraud
The above example, will plot "flow" data if their "v" values is equal to -3.
What I want to do, is that I want to plot my data like "flow", which their "v" values are higher than -3, not exactly equal to -3.
  1 Comment
Paul
Paul on 28 Apr 2024
An isosurface is only defined for a one value. Do you want to show separate plots of different isosurfaces for set of distinct values? Or somehow display multiple isosurfaces for different values on one plot? Or ...?

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Accepted Answer

Mathieu NOE
Mathieu NOE on 29 Apr 2024
as @Paul suggested, we can define several levels and display them on the same plot
just having some fun with colors and transparency to give an idea of the result
[x,y,z,v] = flow;
k = (-4:1:-1);
figure,
hold on
for i = 1:numel(k)
p = patch(isosurface(x,y,z,v,k(i)));
f = i/numel(k); % fraction number
isonormals(x,y,z,v,p)
p.FaceColor = [1 f 1-f];
p.EdgeColor = 'none';
p.FaceAlpha = f;
daspect([1 1 1])
view(3);
axis tight
camlight
lighting gouraud
end

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