Hi everybody,

I'd like to compute the volume of one of the parts of an aabb intersected by a plane, but I don't know from where to start.
I know how to test if a aabb intersects a plane, but not how to compute the volume of either the upper or the lower part of the aabb.

Note that if it's easier or faster, I'm interested in the same calculus for capsule/plane or cylinder/plane.

Thanks.

Some links to give you some ideas.

http://stackoverflow.com/questions/1406029/how-to-calculate-the-volume-of-a-3d-mesh-object-the-surface-of-which-is-made-up
http://www.math.uchicago.edu/~may/VIGRE/VIGRE2007/REUPapers/FINALAPP/Peng.pdf
http://mathworld.wolfram.com/Capsule.html
http://mathworld.wolfram.com/SphericalCap.html
http://mathworld.wolfram.com/SphericalSegment.html
http://mathworld.wolfram.com/CylindricalSegment.html
http://mathworld.wolfram.com/HorizontalCylindricalSegment.html
http://mathworld.wolfram.com/CylindricalWedge.html

Thanks, that's exactly what I was looking for.

You're welcome. I hope it all works out for you.