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Compute 2.5D volume - understanding

Posted: Fri Mar 04, 2022 12:21 pm
by Lou
Hello all,

I'm new to CloudCompare and I would like to understand the Compute 2.5D volume tool using as source "constant" and a point cloud. I have a point cloud of a slope that I would like to know the volume. When I compute the volume of this point cloud with the "constant" I have an "added volume" but I don't understand to what is this constant based to calculate this volume and to what this "added volume" corresponds. Can someone help me understand what is this volume ?
image857.png
image857.png (127.22 KiB) Viewed 6244 times
Thank you very much in advance!

Re: Compute 2.5D volume - understanding

Posted: Sat Mar 05, 2022 11:11 am
by daniel
The 2.5D Compute the 'vertical' distances between the points and either another cloud, or a constant plane (Z = constant = 0 in your case). Then it sums the individual volume contribution of each point. As you have set the constant plane as 'after / ceil', the distances are inverted and are probably negative.

And it's 'added volume' if the volume is positive (i.e. the points are above the constant plane) or 'removed' if it's negative.

See https://www.cloudcompare.org/doc/wiki/i ... .5D_Volume

Re: Compute 2.5D volume - understanding

Posted: Sun Mar 20, 2022 8:25 pm
by DA523
In some cases, 2.5d volume does not work
here is an example
3z.zip
(107.57 KiB) Downloaded 673 times

Re: Compute 2.5D volume - understanding

Posted: Tue Mar 22, 2022 11:14 am
by daniel
Yes, hence the '2.5D'. It does not work with real 3D shapes. You cannot have 2 different points with different altitudes at the same XY location.

Re: Compute 2.5D volume - understanding

Posted: Thu May 19, 2022 9:23 am
by antonella.marsico
Hello all
Is it possible to estimate the accuracy on the rasterization process when using Compute 2.5D volume tool?

Thanks you in advance

Re: Compute 2.5D volume - understanding

Posted: Sun May 22, 2022 10:03 pm
by daniel
Hum, hard to tell. But basically, the algorithm considers that the volume is the distance between 2 horizontal squares that have the size of a grid cell (= diff_height * (cs x cs), where cs is the cell size, and diff_height the difference of height in the 2 equivalent cells of the 'before' and 'after' grids).

So it depends a lot on how you have selected the average height in the cell (min, max, average). But if you had chosen 'min' for the 'before' grid, and 'max' for the 'after' grid, then the error would be at maximum (max - min) * cs^2. Really the worst case of course ;). At least, the smaller cs is, the better (as long as you have enough data to fill the cells!).

Re: Compute 2.5D volume - understanding

Posted: Mon May 23, 2022 8:30 am
by antonella.marsico
Hi Daniel
thank you very much for your answer.

Re: Compute 2.5D volume - understanding

Posted: Mon May 30, 2022 8:54 am
by antonella.marsico
Hi Daniel
I tried to follow your suggestion, but I find 'min' for the 'before' grid, and 'max' for the 'after' grid in the "empty cell" setting. I have to compute first the "vertical' distances between each points cloud (by setting the 'min' cell height for before grid and the 'max' cell height for after grid) and a constant plane and then compare the "before" and "after" grid. It is right?

Re: Compute 2.5D volume - understanding

Posted: Mon May 30, 2022 7:48 pm
by DA523
If you have dense pointscloud, apply 2.5D volume
..
but if you do not have dense pointscloud , the steps are :
1- Meshing (to gap between 2 points (linear averaging )
2- If necessary, clean the mesh to be a concave hull not a convex hull (something only humans can do not AI ??)
3- Sample points the mesh (5 million, bigger is better )
4- Apply 2.5 D volume (use leave it empty)

Check attached example

..
Group.zip
(1.03 MiB) Downloaded 359 times
..
sampled.png
sampled.png (253.5 KiB) Viewed 5902 times

Re: Compute 2.5D volume - understanding

Posted: Mon May 30, 2022 7:56 pm
by DA523
In the above example, the volume of pointscloud against constant plane z=0
grid step= 0.055
mesh sample points 10M
volume is 24,279.576 cubic units