Thread Subject: Volume between two patch objects

Hi,

I have two patch objects:
patch('Vertices',pu,'Faces',fu,'FaceColor','r', 'FaceAlpha', .3);
patch('Vertices',p,'Faces',f,'FaceColor','b', 'FaceAlpha', .3);

I've found their individual volumes, but I'd like to find the volume that they overlap (hence the volume difference.

I thought about going along the z-axis and compare the x/y values, but that didn't work out because the "pu" and "p" have different values in the z component. I also thought in the direction of treating them as surfaces, and finding the volume between them, but I don't know if that's possible in Matlab.

Does anyone have an idea?
Thanks!

"Tracy " <c.januarytenth@gmail.com> wrote in message <h18okm$20s$1@fred.mathworks.com>...
> Hi,
>
> I have two patch objects:
> patch('Vertices',pu,'Faces',fu,'FaceColor','r', 'FaceAlpha', .3);
> patch('Vertices',p,'Faces',f,'FaceColor','b', 'FaceAlpha', .3);
>
> I've found their individual volumes, but I'd like to find the volume that they overlap (hence the volume difference.
>
> I thought about going along the z-axis and compare the x/y values, but that didn't work out because the "pu" and "p" have different values in the z component. I also thought in the direction of treating them as surfaces, and finding the volume between them, but I don't know if that's possible in Matlab.
>
> Does anyone have an idea?
> Thanks!



YOu have to get a Voxel decomposition and find which small cubic part is inside both of them using an InPolyedron Test.
The approximation becomes better when voxels are smaller

Regards Luigi

http://giaccariluigi.altervista.org/blog/