Hrm.. maybe not.. I can't quite see how to apply it to what I want, especially given that I want a really tight radius to the roundness (typical length of the individual sufraces is about 1.1 units, and the fillets were created with a radius of 0.05). Here's a screenshot of my wireframe.. maybe someone can push me in the right direction.. still very much a newbie at this, so be gentle 
To get the sharp edges I need, I imagine I need to bring the isoparms that I'll be detaching much closer to the edge.. I can use normal move for this and still maintain the direction of the surface, but that'll kinda mess uip the edges, and I've so far not found a way to do something like that and know for sure that the isoparm is, for example, 0.05 units along the surface from the edge, if that makes sense. Also, how about getthing this nice result between the trimmed edge and the surfaces going back from it? Should I rebuild the whole trimmed surface as individual little pieces?
Also I should note that each rectangular-shape is 4 surface, all cubic in both U and V, and the rightmost surface has a slight curve to it (whereas the others are straight).

Mike