Dynamic Mesh curve influence aglorithms needed

[Tcll]

this is just as complicated as it sounds...
but to try to simplify things, look at this image:
http://lh4.ggpht.com/-_tyPL2KaJAQ/UIONlx4ZnBI/AAAAAAAAEJU/vU1429txSqk/s424/aglorithm.PNG
I need the influence generation aglorithm's for both I1 and I2.

here's what I currently have:
http://lh5.ggpht.com/-_jX5pm2be18/UIMtH46GfoI/AAAAAAAAEIk/Btswj9Lw4iA/s640/DM%2520prg2.PNG

please help
I've been doing google searches for the bezier aglorithm,
but havn't come up with any decent results for what I need.

if any explainations are needed, I'll come back with them,
but honestly I think it's pretty self explamitory from the images...
(a sphere from a cube)

EDIT:
although I could figure out I2 division if I could at least get the I1 division aglorithm

[Tcll]

may I request deletion or at least locking of this thread.
this whole method has been scrapped and I'm just working on taking out the trash.
(nobody needs a google result for a scrapped method)

thanx ;)

[Tcll]

may I request deletion again...
I'm here from the related articles links,
and this is scrapped garbage gumming up the results.