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Calculate volume from an isosurface

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Rafael Kübler
Rafael Kübler on 19 Dec 2018
Commented: Jan on 19 Dec 2018
Hello,
i have a isosurface like in the picture below generated by the commands isosurface and patch.
How can I calculate the volume enclosed by this surface and the coordinate planes?
Unbenannt.PNG
Thank you for your help in advance.

  1 Comment

Jan
Jan on 19 Dec 2018
This seems to imply, that the surface is closed.

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Accepted Answer

Bruno Luong
Bruno Luong on 19 Dec 2018
If your iso surface is get from isosurface() command then your volume is set of voxels
V <= isovalue
or
V >= isovalue
So the volume is approximatively
V = sum(V <= isovalue) * dV % change test sign accordingly
with, for uniform grid
dV = dX*dY*dZ
or
V = sum((V <= isovalue).*dX*dY*dZ)
otherwise

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More Answers (1)

madhan ravi
madhan ravi on 19 Dec 2018

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Rafael Kübler
Rafael Kübler on 19 Dec 2018
The borders of the volume which has to be calculated is the coordinate system as displayed and the surface.
madhan ravi
madhan ravi on 19 Dec 2018
@Rafeal so maybe someone could help you then I thought the links could help you
Jan
Jan on 19 Dec 2018
@Rafael: What eactly does "as displayed" mean. Please do not let us guess, what you want. Somebody has to write down (preferably in code) how your volume is limited. Currently I only see two green surfaces and the 3 white planes of teh axes object. But this is not a closed volume. If you mean 6 planes at specific x, y and z positions, please explain this explicitly.
The shown 2 surfaces split the box created by the planes at x=200:-200, y=55.3:263.4, z=-68:100 into 3 different volumes. How to you choose the interested one uniquely?

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