CGAL users discussion list

Hi, dear all experienced CGAL users:

I am a newbie of CGAL and I have a practical problem as described below:
There are several spheres and a 3D cubical grid (you can regard as bubbles in 
a cage) as shown in the figure below:

http://tinypic.com/view.php?pic=687km4j

I just wonder if it is possible using CGAL's boolean operation to calculate 
each intersected volume with spheres for each grid, in a 2D case, I want to 
know, e.g. the V1, V2, V3, V4 in the front surface (2D case is the area, 3D 
case is the volume), the bubbles are moving every few frames, and I need to 
know the volume of bubble within each grid cell for a given frame.

It might be difficult because it is in real 3D and the grid might not be 
uniform and can even change to tetrahedra shape, I am not a professional in 
computational geometry but I just ask the possibility.
I wonder if I have made it clear for everyone, any kind of suggestion is 
welcome!

Thanks a lot!