Calculate volume from an isosurface

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Rafael Kübler 2018-12-19

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https://ww2.mathworks.cn/matlabcentral/answers/436461-calculate-volume-from-an-isosurface

评论： Jan 2018-12-19

采纳的回答： Bruno Luong

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?

Thank you for your help in advance.

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Jan 2018-12-19

This seems to imply, that the surface is closed.

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Bruno Luong 2018-12-19

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https://ww2.mathworks.cn/matlabcentral/answers/436461-calculate-volume-from-an-isosurface#answer_353108

在 MATLAB Online 中打开

If your iso surface is get from isosurface() command then your volume is set of voxels

V <= isovalue

V >= isovalue

So the volume is approximatively

V = sum(V <= isovalue) * dV % change test sign accordingly

with, for uniform grid

dV = dX*dY*dZ

V = sum((V <= isovalue).*dX*dY*dZ)

otherwise

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madhan ravi 2018-12-19

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https://ww2.mathworks.cn/matlabcentral/answers/436461-calculate-volume-from-an-isosurface#answer_353078

https://www.mathworks.com/matlabcentral/answers/267849-volume-under-an-iso-surface#answer_209668

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madhan ravi 2018-12-19

@Rafeal so maybe someone could help you then I thought the links could help you

Jan 2018-12-19

@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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